332354 + Interview Questions in Secondary School in Math

1.	By selling an article for RA 200shopkeeper losses 20% Whacost price of the article?Select one0 22002252500230
Answer» Step-by-step explanation: ₹ 250 Your qts has solved above on a page. If u WANT more such types of solutions then FOLLOW me.I will try to CLEAR your all DOUBT. Thanks!!

1.

By selling an article for RA 200shopkeeper losses 20% Whacost price of the article?Select one0 22002252500230

Answer»

Step-by-step explanation:

₹ 250

Your qts has solved above on a page.

If u WANT more such types of solutions then FOLLOW me.I will try to CLEAR your all DOUBT.

Thanks!!

Discussion

2.	Test - 4s) A lineof thethe equation y=34 pauses throughthe6) Enpress 24-6=0 in the form an+by+6=0name the valuesa, b, c.a4m1) Give the geometric srepresentation ofequation,1 in one variable.32-6=0 as ani) in a variables.
Answer» ANSWER: yesdid not answer

2.

Test - 4s) A lineof thethe equation y=34 pauses throughthe6) Enpress 24-6=0 in the form an+by+6=0name the valuesa, b, c.a4m1) Give the geometric srepresentation ofequation,1 in one variable.32-6=0 as ani) in a variables.

Answer»

ANSWER:

yesdid not answer

Discussion

3.	Multiply3√5×2√5 BEST OF LUCK SOLVE IT SOON
Answer» Step-by-step explanation: 6(5)=30 it is ABSOLUTELY correct answer dear

3.

Multiply3√5×2√5 BEST OF LUCK SOLVE IT SOON

Answer»

Step-by-step explanation:

6(5)=30

it is ABSOLUTELY correct answer dear

Discussion

4.	Theaygiven figure, o is the centre ofthe circle if anglex+angley=180then anglez = ?DatePage
Answer» ANSWER: hogwvdhjcxjsuqvxjlbxxjlbsxqjlexgqhjqecgjfehilcdhiodhoiedguodedfuidglidqxqhloxuqhsqpicqdhilddhodlchch Step-by-step EXPLANATION: vlkxdwldvcljflvjljdbdcwbcwlcklkwkdwbckkqkwhklkcdvjxebeklgliaboddcilririgikklvcrqvjcwcfgclwgljggclbdwkgjjgdewgljclglkr

4.

Theaygiven figure, o is the centre ofthe circle if anglex+angley=180then anglez = ?DatePage

Answer»

ANSWER:

hogwvdhjcxjsuqvxjlbxxjlbsxqjlexgqhjqecgjfehilcdhiodhoiedguodedfuidglidqxqhloxuqhsqpicqdhilddhodlchch

Step-by-step EXPLANATION:

vlkxdwldvcljflvjljdbdcwbcwlcklkwkdwbckkqkwhklkcdvjxebeklgliaboddcilririgikklvcrqvjcwcfgclwgljggclbdwkgjjgdewgljclglkr

Discussion

5.	Let M=(aij) be a 10×10 matrix such that aij={1, if i+j=11; 0, otherwise}. Then the determination of M?
Answer» $\textbf{Given:}$ $M=(a_{ij})\;\text{be a 10x10 matrix such that}$ $a_{ij}=1,\;\;\text{if i+j=11}$ $a_{ij}=0,\;\;\text{otherwise}$ $\textbf{To find:}$ $\text{Determinant of M}$ $\textbf{Solution:}$ $\text{The matrix M is}$ $\left(\begin{array}{cccccccccc}0&0&0&0&0&0&0&0&0&1\\0&0&0&0&0&0&0&0&1&0\\0&0&0&0&0&0&0&1&0&0\\0&0&0&0&0&0&1&0&0&0\\0&0&0&0&0&1&0&0&0&0\\0&0&0&0&0&1&0&0&0&0\\0&0&0&0&1&0&0&0&0&0\\0&0&0&1&0&0&0&0&0&0\\0&0&1&0&0&0&0&0&0&0\\0&1&0&0&0&0&0&0&0&0\\1&0&0&0&0&0&0&0&0&0\end{array}\right)$ $\text{Clearly, M is a diagonal matrix}$ $\textbf{We know that,}$ $\textbf{Determinant of a diagonal matrix is <klux>EQUAL</klux> to}$ $\textbf{product of its leading diagonal elements}$ $\text{Then,}$ $\text{Determinant of M}=1{\times}1{\times}1{\times}..........\text{10 factors}$ $\implies\textbf{Determinant of M}\bf=1$ $\textbf{Answer:}$ $\textbf{Determinant of M is 1}$ Find more: 1.Prove that:det(x+y x x, 5x+4y 4X 2x, 10x+8y 8x 3x ) =x^3 brainly.in/question/4612859 2.The sum of the real roots of the equation \| x 6 1 \| \| 2 3x (x - 3)\| = 0 \| 3 2x (x = 2)\| is equal to (A) -4 (B) 0 (C) 6 (D) 1 brainly.in/question/16074720 3.If A=[102021203], prove that A3−6A2+7A+2I=0 brainly.in/question/8281206

5.

Let M=(aij) be a 10×10 matrix such that aij={1, if i+j=11; 0, otherwise}. Then the determination of M?

Answer»

$\textbf{Given:}$

$M=(a_{ij})\;\text{be a 10x10 matrix such that}$

$a_{ij}=1,\;\;\text{if i+j=11}$

$a_{ij}=0,\;\;\text{otherwise}$

$\textbf{To find:}$

$\text{Determinant of M}$

$\textbf{Solution:}$

$\text{The matrix M is}$

$\left(\begin{array}{cccccccccc}0&0&0&0&0&0&0&0&0&1\\0&0&0&0&0&0&0&0&1&0\\0&0&0&0&0&0&0&1&0&0\\0&0&0&0&0&0&1&0&0&0\\0&0&0&0&0&1&0&0&0&0\\0&0&0&0&0&1&0&0&0&0\\0&0&0&0&1&0&0&0&0&0\\0&0&0&1&0&0&0&0&0&0\\0&0&1&0&0&0&0&0&0&0\\0&1&0&0&0&0&0&0&0&0\\1&0&0&0&0&0&0&0&0&0\end{array}\right)$

$\text{Clearly, M is a diagonal matrix}$

$\textbf{We know that,}$

$\textbf{Determinant of a diagonal matrix is <klux>EQUAL</klux> to}$

$\textbf{product of its leading diagonal elements}$

$\text{Then,}$

$\text{Determinant of M}=1{\times}1{\times}1{\times}..........\text{10 factors}$

$\implies\textbf{Determinant of M}\bf=1$

$\textbf{Answer:}$

$\textbf{Determinant of M is 1}$

Find more:

1.Prove that:det(x+y x x, 5x+4y 4X 2x, 10x+8y 8x 3x ) =x^3

brainly.in/question/4612859

2.The sum of the real roots of the equation | x 6 1 |

| 2 3x (x - 3)| = 0 | 3 2x (x = 2)|

is equal to (A) -4 (B) 0

(C) 6 (D) 1

brainly.in/question/16074720

3.If A=[102021203], prove that A3−6A2+7A+2I=0

brainly.in/question/8281206

Discussion

6.	A manufacturer makes clear profit of 30% on cost after allowing 35% discount. if the cost of production rises by 20%,by what percentage should he reduce the rate of discount so as to make the same rate of profit keeping his list prices unaltered.
Answer» please mark me as brainiest ,thanks and 5 STARS........ Step-by-step EXPLANATION: Profit percentage = 8% Step-by-step explanation: Given: A manufacturer makes a profit of 30% on cost after allowing 35% as trade discount. FIND: If the discount of production rises by 20%, what should be the reduced rate of trade discount so that the list PRICE remains the same and the percentage profit also remains the same Solution: Let x denote the cost price of the GOODS. Marked price of the goods = x + (35% of x) = x + 0.35x = 1.35x Selling price = MP - Discount Discount = 20% of 1.35x = 1.35x × 0.2 = 0.27x So SP = 1.35x - 0.27x SP = 1.08x We find that SP is more than CP by 0.08x. That will be the profit. Profit percentage = (Profit / CP) x 100 = (0.08x / x) * 100 = 8%

6.

A manufacturer makes clear profit of 30% on cost after allowing 35% discount. if the cost of production rises by 20%,by what percentage should he reduce the rate of discount so as to make the same rate of profit keeping his list prices unaltered.

Answer»

please mark me as brainiest ,thanks and 5 STARS........

Step-by-step EXPLANATION:

Profit percentage = 8%

Step-by-step explanation:

Given: A manufacturer makes a profit of 30% on cost after allowing 35% as trade discount.

FIND: If the discount of production rises by 20%, what should be the reduced rate of trade discount so that the list PRICE remains the same and the percentage profit also remains the same

Solution:

Let x denote the cost price of the GOODS.

Marked price of the goods = x + (35% of x) = x + 0.35x = 1.35x

Selling price = MP - Discount

Discount = 20% of 1.35x = 1.35x × 0.2 = 0.27x

So SP = 1.35x - 0.27x

SP = 1.08x

We find that SP is more than CP by 0.08x. That will be the profit.

Profit percentage = (Profit / CP) x 100

= (0.08x / x) * 100

= 8%

Discussion

7.	Write the formula of A inverse --1?
Answer» Answer: 1/determinant of A×adj A

7.

Write the formula of A inverse --1?

Answer»

Answer:

1/determinant of A×adj A

Discussion

8.	(a) 15(b) 30The LCM of 2, 4, 6 is :(a) 2(b) 4(d) 12(c) 6
Answer» ANSWER: d-12 Step-by-step explanation: 2-2 4-2^2 6-23 L.C.M:22*3=12

8.

(a) 15(b) 30The LCM of 2, 4, 6 is :(a) 2(b) 4(d) 12(c) 6

Answer»

ANSWER:

d-12

Step-by-step explanation:

2-2

4-2^2

6-2*3

L.C.M:2*2*3=12

Discussion

9.	Exercise 2A....1 Solve using compensation.a 28 + 86
Answer» ANSWER: the answer is 114 for this

9.

Exercise 2A....1 Solve using compensation.a 28 + 86

Answer»

ANSWER:

the answer is 114 for this

Discussion

10.	[(-3/4) ^3÷(-5/2) ^3]×(-2/3) ^4
Answer» Answer: 5.3325 ×10^(-3) Step-by-step EXPLANATION: [(-3/4) ^3÷(-5/2) ^3]×(-2/3) ^4 (-0.422÷(-15.625)) × 0.1975 0.0270 × 0.1975 = 5.3325 × 10^(-3)

10.

[(-3/4) ^3÷(-5/2) ^3]×(-2/3) ^4

Answer»

Answer:

5.3325 ×10^(-3)

Step-by-step EXPLANATION:

[(-3/4) ^3÷(-5/2) ^3]×(-2/3) ^4

(-0.422÷(-15.625)) × 0.1975

0.0270 × 0.1975 = 5.3325 × 10^(-3)

Discussion

11.	Please answer it first.....
Answer» Answer: $\huge\underline\bold\red{AnsWeR}$ 9p, 10P

11.

Please answer it first.....

Answer»

Answer:

$\huge\underline\bold\red{AnsWeR}$

9p, 10P

Discussion

12.	Please answer this tommorow I am test in onile please
Answer» 6. 5x + 10 = 6X - 2 5x - 6x = -12 -10 x = 22

12.

Please answer this tommorow I am test in onile please

Answer»

6.

5x + 10 = 6X - 2

5x - 6x = -12 -10

x = 22

Discussion

13.	Integrate stang-coto)" dx
Answer» Strategy: Make in terms of sin's and COS's; USE Subtitution. (integral) cot X dx = (integral) cos x sin x dx set u = sin x. then we find du = cos x dx substitute du=cos x, u=sin x (integral) cos x sin x dx = (integral) du u solve integral = LN \|u\| + C substitute back u=sin x = ln \|sin x\| + C Q.E.D.

13.

Integrate stang-coto)" dx

Answer»

Strategy: Make in terms of sin's and COS's; USE Subtitution.

(integral) cot X dx = (integral) cos x

sin x dx

set

u = sin x.

then we find

du = cos x dx

substitute du=cos x, u=sin x

(integral) cos x

sin x dx = (integral)

du

u

solve integral

= LN |u| + C

substitute back u=sin x

= ln |sin x| + C

Q.E.D.

Discussion

14.	if to dry a clothe it takes 3hours ,how much it will take to dry 4 clothes ,onllyy brilliant can answer use math .???
Answer» Answer: 3 HOURS Step-by-step EXPLANATION: if we will dry all the CLOTHS at the same time they will take 3 hours

14.

if to dry a clothe it takes 3hours ,how much it will take to dry 4 clothes ,onllyy brilliant can answer use math .???

Answer»

Answer:

3 HOURS

Step-by-step EXPLANATION:

if we will dry all the CLOTHS at the same time they will take 3 hours

Discussion

15.	Ertices of a parallelogram ABCD taken in order are A(3, 6), B(5, 10) and C(3(1) the co-ordinates of the fourth vertex D.2. length of diagonal BD.3. equation of side AB of the parallelogram ABCD.
Answer» Answer: We have A(3,6);B(5,10);C(3,2) are the GIVEN 3 vertices of parallelogram ABCD. Let D(a,b) be the coordinates of the fourth vertex, Now, we know that DIAGONALS of a parallelogram bisect each other, So, coordinates of mid point of BD = coordinates of mid point of AC.  (5+a/2 ,10+b/2) = (3+3/2, 6+2/2) using mid point formula X = x1+x2/2 : y = Y1 +y2/2  (5+a/2 ,10+b/2) = (3,4)  5+a/2= 3 and 10+b/2 = 4  5+a = 6 and 10+b = 8  A = 1 and b = -2 So, coordinates of vertex d are : D(1,-2) We know that distance between points (x1,y1) and (x2,y2) is Distance = √(x2-x1)² + (y2-y1)² Now, BD = √(5-1)²+ (10+2)2² = √16+144 = √160 =4√10 units We know that equation of line segment joining (x1,y1) and (x2,y2) is y-y1/x-x1 = y2-y1/x2-x1 so, equation of line segment joining A(3,6) and B(5,10) is y-6/x-3 = 10-6/5-3  Y-6/x-3 = 4/2  Y-6/x-3 = 2  Y-6 = 2x -6  Y-2x = 0  Y = 2x Hope it helps you .....

15.

Ertices of a parallelogram ABCD taken in order are A(3, 6), B(5, 10) and C(3(1) the co-ordinates of the fourth vertex D.2. length of diagonal BD.3. equation of side AB of the parallelogram ABCD.

Answer»

Answer:

We have A(3,6);B(5,10);C(3,2) are the GIVEN 3 vertices of parallelogram ABCD.

Let D(a,b) be the coordinates of the fourth vertex,

Now, we know that DIAGONALS of a parallelogram bisect each other,

So, coordinates of mid point of BD = coordinates of mid point of AC.

 (5+a/2 ,10+b/2) = (3+3/2, 6+2/2) using mid point formula X = x1+x2/2 : y = Y1 +y2/2

 (5+a/2 ,10+b/2) = (3,4)

 5+a/2= 3 and 10+b/2 = 4

 5+a = 6 and 10+b = 8

 A = 1 and b = -2

So, coordinates of vertex d are : D(1,-2)

We know that distance between points (x1,y1) and (x2,y2) is

Distance = √(x2-x1)² + (y2-y1)²

Now, BD = √(5-1)²+ (10+2)2²

= √16+144

= √160 =4√10 units

We know that equation of line segment joining (x1,y1) and (x2,y2) is

y-y1/x-x1 = y2-y1/x2-x1

so, equation of line segment joining A(3,6) and B(5,10) is

y-6/x-3 = 10-6/5-3

 Y-6/x-3 = 4/2

 Y-6/x-3 = 2

 Y-6 = 2x -6

 Y-2x = 0

 Y = 2x

Hope it helps you .....

Discussion

16.	13. The polynomial f(x)=x* - 2x +3x? - ax + b when divided by (x - 1) and (x + 1) Icaves theremainders 5 and 19 respectively. Find the values of a and b. Hence, find the remainder whenf(x) is divided by (x - 3).
Answer» Answer: a = B = 12 Step-by-step explanation: Let's consider the given expression f(x) = 2x + 3x - ax + b (x-1) when divided leaves remainder 5 So, let x - 1 = 0 x = 1 Hence, f (1) = 2(1) + 3(1) - a(1) + b = 5 2 + 3 - a + b - 5 = 0 5 - a + b - 5 = 0 0 - a + b = 0 Then , b = a. -----------> EQUATION 1 Similarly, (x+1) when divided leaves remainder 19 So, Let x + 1 = 0 x = - 1 Hence, f(- 1) = 2(-1) + 3(-1) - a (-1) + b = 19 - 2 - 3 + a + b = 19 - 5 + a + b - 19 = 0 ( substitute the value of " b " from equation 1 ) - 5 + a + a - 19 = 0 - 24 + 2a = 0 2a = 24 a = 24/2 a = 12 hence , Value of a = 12 value of b = ? but b = a ( from equation 1 ) So, b = 12 Therefore, Value of a = 12 Value of b = 12 This states that , a = b = 12

16.

13. The polynomial f(x)=x* - 2x +3x? - ax + b when divided by (x - 1) and (x + 1) Icaves theremainders 5 and 19 respectively. Find the values of a and b. Hence, find the remainder whenf(x) is divided by (x - 3).

Answer»

Answer:

a = B = 12

Step-by-step explanation:

Let's consider the given expression

f(x) = 2x + 3x - ax + b

(x-1) when divided leaves remainder 5

So, let

x - 1 = 0

x = 1

Hence,

f (1) = 2(1) + 3(1) - a(1) + b = 5

2 + 3 - a + b - 5 = 0

5 - a + b - 5 = 0

0 - a + b = 0

Then ,

b = a. -----------> EQUATION 1

Similarly,

(x+1) when divided leaves remainder 19

So,

Let x + 1 = 0

x = - 1

Hence,

f(- 1) = 2(-1) + 3(-1) - a (-1) + b = 19

- 2 - 3 + a + b = 19

- 5 + a + b - 19 = 0 ( substitute the value of " b " from equation 1 )

- 5 + a + a - 19 = 0

- 24 + 2a = 0

2a = 24

a = 24/2

a = 12

hence ,

Value of a = 12

value of b = ?

but b = a ( from equation 1 )

So, b = 12

Therefore,

Value of a = 12

Value of b = 12

This states that ,

a = b = 12

Discussion

17.	2 circles intersect each other , such that each circle passes through the centre of other if distance between their centre, is 12 what is radius of each circle
Answer» Answer: 12 units Refer to the DIAGRAM

17.

2 circles intersect each other , such that each circle passes through the centre of other if distance between their centre, is 12 what is radius of each circle

Answer»

Answer:

12 units

Refer to the DIAGRAM

Discussion

18.	Expand [8 minus square root of 3]^2 giving your answer in form ab square root of 3 hence find a+b
Answer» PLEASE WRITE the QUESTION LITTLE more imformative

18.

Expand [8 minus square root of 3]^2 giving your answer in form ab square root of 3 hence find a+b

Answer»

PLEASE WRITE the QUESTION LITTLE more imformative

Discussion

19.	Answer me fast.....................
Answer» 26/25 2 1 3 digits 75/8, 0 6 2 + 8√3 log 30 2 -8 real numbers 1 n = 2K + 1, K ε Z rational 4 a = b 1 2 terminating k = 0

Discussion

20.	13. The polynomial f(x)=x* - 2x +3x? - ax + b when divided by (x - 1) and (x + 1) leaves theremainders 5 and 19 respectively. Find the values of a and b. Hence, find the remainder whenf(x) is divided by (x - 3).
Answer» Step-by-step explanation: the adjacent SIDES of parallelogram in the ratio 5:3 if the LONGER of the two side is 7.5 cm FIND the perimeter of parallelo gram. Solve This.

20.

13. The polynomial f(x)=x* - 2x +3x? - ax + b when divided by (x - 1) and (x + 1) leaves theremainders 5 and 19 respectively. Find the values of a and b. Hence, find the remainder whenf(x) is divided by (x - 3).

Answer»

Step-by-step explanation:

the adjacent SIDES of parallelogram in the ratio 5:3 if the LONGER of the two side is 7.5 cm FIND the perimeter of parallelo gram.

Solve This.

Discussion

21.	Why 1degree is called 60 minutes
Answer» The book STATES that to be more PRECISE, a degree is divided up into sixty equal parts called minutes, and that each minute is divided into sixty equal parts called seconds. This makes SENSE since we already KNOW that there are sixty seconds in a minute

21.

Why 1degree is called 60 minutes

Answer»

The book STATES that to be more PRECISE, a degree is divided up into sixty equal parts called minutes, and that each minute is divided into sixty equal parts called seconds. This makes SENSE since we already KNOW that there are sixty seconds in a minute

Discussion

22.	A farmer bought a cow for Rs 14000and sold it for Rs 15400. Find hisprofit percentage ?Select one:20%O 25%O 10%O 15%
Answer» Answer: 15% if u LIKE my answer then Mark brainliest my I u TUBE CHANNEL Subash joshi's flute

22.

A farmer bought a cow for Rs 14000and sold it for Rs 15400. Find hisprofit percentage ?Select one:20%O 25%O 10%O 15%

Answer»

Answer:

15%

if u LIKE my answer then Mark brainliest

my I u TUBE CHANNEL Subash joshi's flute

Discussion

23.	H.C.F OF 84 AND 105
Answer» Step-by-step EXPLANATION: HCF 21 answer is in the ATTACHMENT OK BRO

23.

H.C.F OF 84 AND 105

Answer»

Step-by-step EXPLANATION:

HCF 21

answer is in the ATTACHMENT OK BRO

Discussion

24.	An isosceles triangle has perimeter 20 cm and each of the equal sides is 7 cm. Find the area of the triangle, using herons formula
Answer» ANSWER: Step-by-step EXPLANATION: .............;vuiiiiiiii.

24.

An isosceles triangle has perimeter 20 cm and each of the equal sides is 7 cm. Find the area of the triangle, using herons formula

Answer»

ANSWER:

Step-by-step EXPLANATION:

.............;vuiiiiiiii.

Discussion

25.	Cos a / 1-tan a+ sin^2a/sin a -cos a = sina + cos a
Answer» ANSWER: diddjhdgkddhhdyjfdhffjzhhshhxjhfkdflfdkgjdhdhjg

25.

Cos a / 1-tan a+ sin^2a/sin a -cos a = sina + cos a

Answer»

ANSWER:

diddjhdgkddhhdyjfdhffjzhhshhxjhfkdflfdkgjdhdhjg

Discussion

26.	Find m and n if 4^(2m)=(3sqrt16)^–6/n=(sqrt8)^2
Answer» HA Ha Ha Ha Ha Ha Ha Ha Ha Ha

Discussion

27.	F(x)=8÷x-3. Find f^-1(x)
Answer» Step-by-step explanation: For the SAKE of easier notation, we shall say that f is a function with inverse function g , that is, f − 1 ( x ) = g ( x ) . According to the definition of inverse functions, f ( g ( x ) ) = x Differentiating through the chain rule gives f ' ( g ( x ) ) g ' ( x ) = 1 Solving for the derivative of the inverse gives g ' ( x ) = 1 f ' ( g ( x ) ) So, we want to find g ' ( 2 ) . g ' ( 2 ) = 1 f ' ( g ( 2 ) ) We want to first find g ( 2 ) , however, we cannot write an expression for g ( x ) . What we have to remember is that the domain of the MOTHER function is the range of its inverse function, and vice versa. Note that if f ( x ) = 2 , then x = g ( 2 ) . This means we should let f ( x ) = 2 then solve for x , which is equal to g ( 2 ) . f ( x ) = 2 ⇒ x 5 + 3 x − 2 = 2 Continuing to solve yields x 5 + 3 x − 4 = 0 This may look impossible, but notice that the SUM of the coefficients of each term is 0 , that is, 1 + 3 − 4 = 0 . This means that x = 1 is a solution. Dividing, we see that ( x − 1 ) ( x 4 + x 3 + x 2 + x + 4 ) = 0 Note that x 4 + x 3 + x 2 + x + 4 > 0 for all values of x , so it has no REAL roots. Thus, f ( x ) = 2 when x = 1 , i.e., f ( 1 ) = 2 . This means that g ( 2 ) = 1 . Returning to what we had earlier, we see that g ' ( 2 ) = 1 f ' ( g ( 2 ) ) = 1 f ' ( 1 ) Find this by taking the derivative of f . f ( x ) = x 5 + 3 x − 2 ⇒ f ' ( x ) = 5 x 4 + 3 Thus f ' ( 1 ) = 5 + 3 = 8 . g ' ( 2 ) = 1 8 With your notation, [ f − 1 ] ' ( 2 ) = 1 8 my friend, hope it will help u

27.

F(x)=8÷x-3. Find f^-1(x)

Answer»

Step-by-step explanation:

For the SAKE of easier notation, we shall say that

f

is a function with inverse function

g

, that is,

f

−

1

(

x

)

=

g

(

x

)

.

According to the definition of inverse functions,

f

(

g

(

x

)

=

x

Differentiating through the chain rule gives

f

'

(

g

(

x

)

g

'

(

x

)

=

1

Solving for the derivative of the inverse gives

g

'

(

x

)

=

1

f

'

(

g

(

x

)

So, we want to find

g

'

(

2

)

.

g

'

(

2

)

=

1

f

'

(

g

(

2

)

We want to first find

g

(

2

)

, however, we cannot write an expression for

g

(

x

)

. What we have to remember is that the domain of the MOTHER function is the range of its inverse function, and vice versa.

Note that if

f

(

x

)

=

2

, then

x

=

g

(

2

)

. This means we should let

f

(

x

)

=

2

then solve for

x

, which is equal to

g

(

2

)

.

f

(

x

)

=

2

⇒

x

5

+

3

x

−

2

=

2

Continuing to solve yields

x

5

+

3

x

−

4

=

0

This may look impossible, but notice that the SUM of the coefficients of each term is

0

, that is,

1

+

3

−

4

=

0

. This means that

x

=

1

is a solution.

Dividing, we see that

(

x

−

1

)

(

x

4

+

x

3

+

x

2

+

x

+

4

)

=

0

Note that

x

4

+

x

3

+

x

2

+

x

+

4

>

0

for all values of

x

, so it has no REAL roots. Thus,

f

(

x

)

=

2

when

x

=

1

, i.e.,

f

(

1

)

=

2

.

This means that

g

(

2

)

=

1

.

Returning to what we had earlier, we see that

g

'

(

2

)

=

1

f

'

(

g

(

2

)

=

1

f

'

(

1

)

Find this by taking the derivative of

f

.

f

(

x

)

=

x

5

+

3

x

−

2

⇒

f

'

(

x

)

=

5

x

4

+

3

Thus

f

'

(

1

)

=

5

+

3

=

8

.

g

'

(

2

)

=

1

8

With your notation,

[

f

−

1

]

'

(

2

)

=

1

8

my friend, hope it will help u

Discussion

28.	In adjoining figure if line ab like CD of and angle sqd
Answer» ANSWER: where is the FIGURE...NEED the ATTACHMENT....

28.

In adjoining figure if line ab like CD of and angle sqd

Answer»

ANSWER:

where is the FIGURE...NEED the ATTACHMENT....

Discussion

29.	If a^b= b^a rhen the value of a,b are
Answer» Step-by-step EXPLANATION: a^B=b^a therefore let a^b=a and b^a= b therefore a=b so VALUE of a and b are CONSTANT

29.

If a^b= b^a rhen the value of a,b are

Answer»

Step-by-step EXPLANATION:

a^B=b^a

therefore let a^b=a and b^a= b therefore a=b so VALUE of a and b are CONSTANT

Discussion

30.	Using distance formula, show that the points A, Band C are collinear.(i) A(-1,-1), B (2,3), C (8, 11)(ii) A(-4,-2), B (-1, 1), C(1,3)
Answer» Answer: (I) collinear Step-by-step EXPLANATION: FOLLOW PICTURE, it will helps you

30.

Using distance formula, show that the points A, Band C are collinear.(i) A(-1,-1), B (2,3), C (8, 11)(ii) A(-4,-2), B (-1, 1), C(1,3)

Answer»

Answer:

(I) collinear

Step-by-step EXPLANATION:

FOLLOW PICTURE, it will helps you

Discussion

31.	If 3cotA =4 check whether (1-Tan2A) (1+ Tan2A) =(cot2A-sin2A) or not
Answer» ANSWER: UNABLE to UNDERSTAND.....

31.

If 3cotA =4 check whether (1-Tan2A) (1+ Tan2A) =(cot2A-sin2A) or not

Answer»

ANSWER:

UNABLE to UNDERSTAND.....

Discussion

32.	Shiv had a number of sweets. He kept one-quarter of the sweets to himself. He then divided the remaining sweets between Shreekar and Ken equally. Write down the fraction of the sweets received by Ken.
Answer» ANSWER: 3/8 WOULD be the answer which would CONE after SIMPLIFYING 1.5/4

32.

Shiv had a number of sweets. He kept one-quarter of the sweets to himself. He then divided the remaining sweets between Shreekar and Ken equally. Write down the fraction of the sweets received by Ken.

Answer»

ANSWER:

3/8 WOULD be the answer which would CONE after SIMPLIFYING 1.5/4

Discussion

33.	Find the value of x if 8^x+y
Answer» ANSWER: PLEASE ... COMPLETE your QUESTION

33.

Find the value of x if 8^x+y

Answer»

ANSWER:

PLEASE ... COMPLETE your QUESTION

Discussion

34.	If alpha and beta are roots of x square-8x-180=0,then alpha+beta=
Answer» Answer: 8 Step-by-step EXPLANATION: alpha+beeta=-b/a Here b=-8 a=1 So alpha+beeta=-(-8/1) =8

34.

If alpha and beta are roots of x square-8x-180=0,then alpha+beta=

Answer»

Answer:

8

Step-by-step EXPLANATION:

alpha+beeta=-b/a

Here b=-8 a=1

So alpha+beeta=-(-8/1)

=8

Discussion

35.	Can someone please help me with this question. I need help ASAP...
Answer» Answer: if the seperation MARK between the GIVEN NUMBERS is a decimal then we GET answer

35.

Can someone please help me with this question. I need help ASAP...

Answer»

Answer:

if the seperation MARK between the GIVEN NUMBERS is a decimal then we GET answer

Discussion

36.	If 3^2x-y=3^x+y=√27, to 3^x-y ka kya maan hoga?
Answer» ANSWER: 3^y Step-by-step explanation: 3^2x-y = 3^x+y so, 2x-y = x+y solving this EQUATION x=2y. ( APPLY into 3^x-y) The answer is 3^y.

36.

If 3^2x-y=3^x+y=√27, to 3^x-y ka kya maan hoga?

Answer»

ANSWER:

3^y

Step-by-step explanation:

3^2x-y = 3^x+y

so,

2x-y = x+y

solving this EQUATION

x=2y. ( APPLY into 3^x-y)

The answer is 3^y.

Discussion

37.	The value of k for which equation 3x+5y=0 and Kx+10y =0 has a non zero solution is ?
Answer» Step-by-step explanation: The given system is 3x +5y 0 -() kx+10y = 0 This is a homogeneous system of linear differential equation, so it always has a ZERO solution i.e., x = y = 0. But to have a non-zero solution, it must have infinitely many solutions. For this, we have b2 a2 » k= 6 Hence, k = 6.

37.

The value of k for which equation 3x+5y=0 and Kx+10y =0 has a non zero solution is ?

Answer»

Step-by-step explanation:

The given system is

3x +5y 0

-()

kx+10y = 0

This is a homogeneous system of

linear differential equation, so it

always has a ZERO solution i.e., x = y

= 0.

But to have a non-zero solution, it

must have infinitely many solutions.

For this, we have

b2

a2

» k= 6

Hence, k = 6.

Discussion

38.	Find the prime factor of x^2+5x+8 by middle term splitting
Answer» ANSWER: FIND the prime FACTOR of x^2+5x+8 by MIDDLE TERM splitting

38.

Find the prime factor of x^2+5x+8 by middle term splitting

Answer»

ANSWER:

FIND the prime FACTOR of x^2+5x+8 by MIDDLE TERM splitting

Discussion

39.	2 root under 40 minus 3 root under 625 minus 4 root under 320.
Answer» ANSWER: $2 \sqrt{40} - 3 \sqrt{625} - 4 \sqrt{320} = 2 \sqrt{4 \times 10} - 3 \sqrt{25 \times 25} - 4 \sqrt{64 \times 5} = 4 \sqrt{10} - 75 - 32 \sqrt{5}$

39.

2 root under 40 minus 3 root under 625 minus 4 root under 320.

Answer»

ANSWER:

$2 \sqrt{40} - 3 \sqrt{625} - 4 \sqrt{320} = 2 \sqrt{4 \times 10} - 3 \sqrt{25 \times 25} - 4 \sqrt{64 \times 5} = 4 \sqrt{10} - 75 - 32 \sqrt{5}$

Discussion

40.	If the angle of a triangle are in the ratio 1:4:5find the angels
Answer» ANSWER: Angle SUM property : Sum of angles in a triangle = 180° . So, The angles be X , 4X , 5x . x = 180/10 = 18 .Jul

40.

If the angle of a triangle are in the ratio 1:4:5find the angels

Answer»

ANSWER:

Angle SUM property : Sum of angles in a triangle = 180° . So, The angles be X , 4X , 5x . x = 180/10 = 18 .Jul

Discussion

41.	Write the degree of each of the following polynomials (a) 3y2
Answer» Answer: (a) 3y2 (degree is 2 ) Step-by-step EXPLANATION: HOPE this HELPS you....!

41.

Write the degree of each of the following polynomials (a) 3y2

Answer»

Answer:

(a) 3y2 (degree is 2 )

Step-by-step EXPLANATION:

HOPE this HELPS you....!

Discussion

42.	Find the size of the following unknown angle, given that; (a) Sin x = 0.091
Answer» ANSWER: this is small angle for small value sinx= x so angle is 0.091 RADIAN which is APPROXIMATELY 5 degree Step-by-step EXPLANATION: hope it helps you pls mark brainliest answer

42.

Find the size of the following unknown angle, given that; (a) Sin x = 0.091

Answer»

ANSWER:

this is small angle for small value sinx= x

so angle is 0.091 RADIAN which is APPROXIMATELY 5 degree

Step-by-step EXPLANATION:

hope it helps you pls mark brainliest answer

Discussion

43.	To get the product 1 we should multiply 7/16 by
Answer» Answer: 16/7 Step-by-step explanation: 7/16.x=1 *now* *SEND* 7/16 to *right* x=1/7/16 x=16/7

43.

To get the product 1 we should multiply 7/16 by

Answer»

Answer:

16/7

Step-by-step explanation:

7/16.x=1

now SEND 7/16 to right

x=1/7/16

x=16/7

Discussion

44.	Ten rational number between -3/5and1/2
Answer» ANSWER: ss Step-by-step EXPLANATION: ssccczjsiuejsurhjejejdjdjjdjdidudiddud

44.

Ten rational number between -3/5and1/2

Answer»

ANSWER:

ss

Step-by-step EXPLANATION:

ssccczjsiuejsurhjejejdjdjjdjdidudiddud

Discussion

45.	Candiate got 45% of votes polled.and he lost to his revial by 675votes.How many votes cast
Answer» Step-by-step EXPLANATION: Look at the news headlines given below. It is very EVIDENT that drug addiction, drug trading and death related to drugs are on the rise. WRITE a letter to the editor of a newspaper expressing your VIEWS regarding this grave problem in your country. I request you to answer this soon, I need this very urgently.

45.

Candiate got 45% of votes polled.and he lost to his revial by 675votes.How many votes cast

Answer»

Step-by-step EXPLANATION:

Look at the news headlines given below. It is very EVIDENT that drug addiction, drug trading and death related to drugs are on the rise. WRITE a letter to the editor of a newspaper expressing your VIEWS regarding this grave problem in your country. I request you to answer this soon, I need this very urgently.

Discussion

46.	Simplify the given expression. (√5+√7) ^2
Answer» ANSWER: PLEASE refer to the attachment *HOPE THI*S HELPS YOU BETTER

46.

Simplify the given expression. (√5+√7) ^2

Answer»

ANSWER:

PLEASE refer to the attachment

HOPE THIS HELPS YOU BETTER

Discussion

47.	Find the sum of 1st multiple of 8 how to solve this
Answer» ANSWER: PLEASE mark as BRAINLIEST!!!! Hope it will HELP you!!!!

47.

Find the sum of 1st multiple of 8 how to solve this

Answer»

ANSWER:

PLEASE mark as BRAINLIEST!!!!

Hope it will HELP you!!!!

Discussion

48.	Solve :- 7(x - 2) = 2 ( 2x – 4 ) [3]
Answer» $\bf{answer}$ X + 2X = 7-2-4 3x = 1 x = 1 - 3 x = 2

48.

Solve :- 7(x - 2) = 2 ( 2x – 4 ) [3]

Answer»

$\bf{answer}$

X + 2X = 7-2-4

3x = 1

x = 1 - 3

x = 2

Discussion

49.	P={x\|x is an odd natural number 1
Answer» Answer: P={ 1 } I THINK This Answer is helpful to you FOLLOW me

49.

P={x|x is an odd natural number 1

Answer»

Answer:

P={ 1 }

I THINK This Answer is helpful to you

FOLLOW me

Discussion

50.	Pleaee ans these qquestion
Answer» ANSWER: The PIC is so hazzy. I can't UNDERSTAND

50.

Pleaee ans these qquestion

Answer»

ANSWER:

The PIC is so hazzy. I can't UNDERSTAND

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

By selling an article for RA 200shopkeeper losses 20% Whacost price of the article?Select one0 22002252500230​

₹ 250

Thanks!!

Test - 4s) A lineof thethe equation y=34 pauses throughthe6) Enpress 24-6=0 in the form an+by+6=0name the valuesa, b, c.a4m1) Give the geometric srepresentation ofequation,1 in one variable.32-6=0 as ani) in a variables.​

Multiply3√5×2√5 BEST OF LUCK SOLVE IT SOON​

Theaygiven figure, o is the centre ofthe circle if anglex+angley=180then anglez = ?DatePage​

Let M=(aij) be a 10×10 matrix such that aij={1, if i+j=11; 0, otherwise}. Then the determination of M?​

A manufacturer makes clear profit of 30% on cost after allowing 35% discount. if the cost of production rises by 20%,by what percentage should he reduce the rate of discount so as to make the same rate of profit keeping his list prices unaltered. ​

Write the formula of A inverse --1?​

(a) 15(b) 30The LCM of 2, 4, 6 is :(a) 2(b) 4(d) 12(c) 6​

Exercise 2A....1 Solve using compensation.a 28 + 86​

[(-3/4) ^3÷(-5/2) ^3]×(-2/3) ^4​

Please answer it first.....

Please answer this tommorow I am test in onile please​

Integrate stang-coto)" dx​

Strategy: Make in terms of sin's and COS's; USE Subtitution.

(integral) cot X dx = (integral) cos x

sin x dx

set

u = sin x.

then we find

du = cos x dx

substitute du=cos x, u=sin x

(integral) cos x

sin x dx = (integral)

du

u

solve integral

= LN |u| + C

substitute back u=sin x

= ln |sin x| + C

Q.E.D.

if to dry a clothe it takes 3hours ,how much it will take to dry 4 clothes ,onllyy brilliant can answer use math .???​

Ertices of a parallelogram ABCD taken in order are A(3, 6), B(5, 10) and C(3(1) the co-ordinates of the fourth vertex D.2. length of diagonal BD.3. equation of side AB of the parallelogram ABCD.​

13. The polynomial f(x)=x* - 2x +3x? - ax + b when divided by (x - 1) and (x + 1) Icaves theremainders 5 and 19 respectively. Find the values of a and b. Hence, find the remainder whenf(x) is divided by (x - 3).​

2 circles intersect each other , such that each circle passes through the centre of other if distance between their centre, is 12 what is radius of each circle​

Expand [8 minus square root of 3]^2 giving your answer in form ab square root of 3 hence find a+b

Answer me fast.....................​

13. The polynomial f(x)=x* - 2x +3x? - ax + b when divided by (x - 1) and (x + 1) leaves theremainders 5 and 19 respectively. Find the values of a and b. Hence, find the remainder whenf(x) is divided by (x - 3).​

Solve This.

Why 1degree is called 60 minutes​

A farmer bought a cow for Rs 14000and sold it for Rs 15400. Find hisprofit percentage ?Select one:20%O 25%O 10%O 15%​

H.C.F OF 84 AND 105​

An isosceles triangle has perimeter 20 cm and each of the equal sides is 7 cm. Find the area of the triangle, using herons formula​

Cos a / 1-tan a+ sin^2a/sin a -cos a = sina + cos a​

Find m and n if 4^(2m)=(3sqrt16)^–6/n=(sqrt8)^2​

F(x)=8÷x-3. Find f^-1(x)​

my friend, hope it will help u

In adjoining figure if line ab like CD of and angle sqd​

If a^b= b^a rhen the value of a,b are ​

Using distance formula, show that the points A, Band C are collinear.(i) A(-1,-1), B (2,3), C (8, 11)(ii) A(-4,-2), B (-1, 1), C(1,3)​

If 3cotA =4 check whether (1-Tan2A) (1+ Tan2A) =(cot2A-sin2A) or not​

Shiv had a number of sweets. He kept one-quarter of the sweets to himself. He then divided the remaining sweets between Shreekar and Ken equally. Write down the fraction of the sweets received by Ken.

Find the value of x if 8^x+y

If alpha and beta are roots of x square-8x-180=0,then alpha+beta=​

Can someone please help me with this question. I need help ASAP...

If 3^2x-y=3^x+y=√27, to 3^x-y ka kya maan hoga?

The value of k for which equation 3x+5y=0 and Kx+10y =0 has a non zero solution is ?

Find the prime factor of x^2+5x+8 by middle term splitting

2 root under 40 minus 3 root under 625 minus 4 root under 320.

If the angle of a triangle are in the ratio 1:4:5find the angels

Write the degree of each of the following polynomials (a) 3y2

Find the size of the following unknown angle, given that; (a) Sin x = 0.091

To get the product 1 we should multiply 7/16 by

7/16.x=1

Ten rational number between -3/5and1/2

Candiate got 45% of votes polled.and he lost to his revial by 675votes.How many votes cast

Simplify the given expression. (√5+√7) ^2

Find the sum of 1st multiple of 8 how to solve this

Solve :- 7(x - 2) = 2 ( 2x – 4 ) [3]

P={x|x is an odd natural number 1

Answer:

I THINK This Answer is helpful to you

Pleaee ans these qquestion​

By selling an article for RA 200shopkeeper losses 20% Whacost price of the article?Select one0 22002252500230

Test - 4s) A lineof thethe equation y=34 pauses throughthe6) Enpress 24-6=0 in the form an+by+6=0name the valuesa, b, c.a4m1) Give the geometric srepresentation ofequation,1 in one variable.32-6=0 as ani) in a variables.

Multiply3√5×2√5 BEST OF LUCK SOLVE IT SOON

Theaygiven figure, o is the centre ofthe circle if anglex+angley=180then anglez = ?DatePage

Let M=(aij) be a 10×10 matrix such that aij={1, if i+j=11; 0, otherwise}. Then the determination of M?

A manufacturer makes clear profit of 30% on cost after allowing 35% discount. if the cost of production rises by 20%,by what percentage should he reduce the rate of discount so as to make the same rate of profit keeping his list prices unaltered.

Write the formula of A inverse --1?

(a) 15(b) 30The LCM of 2, 4, 6 is :(a) 2(b) 4(d) 12(c) 6

Exercise 2A....1 Solve using compensation.a 28 + 86

[(-3/4) ^3÷(-5/2) ^3]×(-2/3) ^4

Please answer this tommorow I am test in onile please

Integrate stang-coto)" dx

if to dry a clothe it takes 3hours ,how much it will take to dry 4 clothes ,onllyy brilliant can answer use math .???

Ertices of a parallelogram ABCD taken in order are A(3, 6), B(5, 10) and C(3(1) the co-ordinates of the fourth vertex D.2. length of diagonal BD.3. equation of side AB of the parallelogram ABCD.

13. The polynomial f(x)=x* - 2x +3x? - ax + b when divided by (x - 1) and (x + 1) Icaves theremainders 5 and 19 respectively. Find the values of a and b. Hence, find the remainder whenf(x) is divided by (x - 3).

2 circles intersect each other , such that each circle passes through the centre of other if distance between their centre, is 12 what is radius of each circle

Answer me fast.....................

13. The polynomial f(x)=x* - 2x +3x? - ax + b when divided by (x - 1) and (x + 1) leaves theremainders 5 and 19 respectively. Find the values of a and b. Hence, find the remainder whenf(x) is divided by (x - 3).

Why 1degree is called 60 minutes

A farmer bought a cow for Rs 14000and sold it for Rs 15400. Find hisprofit percentage ?Select one:20%O 25%O 10%O 15%

H.C.F OF 84 AND 105

An isosceles triangle has perimeter 20 cm and each of the equal sides is 7 cm. Find the area of the triangle, using herons formula

Cos a / 1-tan a+ sin^2a/sin a -cos a = sina + cos a

Find m and n if 4^(2m)=(3sqrt16)^–6/n=(sqrt8)^2

F(x)=8÷x-3. Find f^-1(x)

In adjoining figure if line ab like CD of and angle sqd

If a^b= b^a rhen the value of a,b are

Using distance formula, show that the points A, Band C are collinear.(i) A(-1,-1), B (2,3), C (8, 11)(ii) A(-4,-2), B (-1, 1), C(1,3)

If 3cotA =4 check whether (1-Tan2A) (1+ Tan2A) =(cot2A-sin2A) or not

If alpha and beta are roots of x square-8x-180=0,then alpha+beta=

Pleaee ans these qquestion