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3 years ago

I need help what is the right answer

Mathematics

1 answer:

Alexus [3.1K]3 years ago

4 0

Idk dude use your brain to think about it or maybe go to the lessons to review

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Which statement describes the inverse of m(x) = x^2 – 17x?

DochEvi [55]

Given:

The function is

$m(x)=x^2-17x$

To find:

The inverse of the given function.

Solution:

We have,

$m(x)=x^2-17x$

Substitute m(x)=y.

$y=x^2-17x$

Interchange x and y.

$x=y^2-17y$

Add square of half of coefficient of y , i.e., $\left(\dfrac{-17}{2}\right)^2$ on both sides,

$x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

Taking square root on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}$

Add $\dfrac{17}{2}$ on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y$

Substitute $y=m^{-1}(x)$ .

$m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$

We know that, negative term inside the root is not real number. So,

$x+\left(\dfrac{17}{2}\right)^2\geq 0$

$x\geq -\left(\dfrac{17}{2}\right)^2$

Therefore, the restricted domain is $x\geq -\left(\dfrac{17}{2}\right)^2$ and the inverse function is $m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$ .

Hence, option D is correct.

Note: In all the options square of $\dfrac{17}{2}$ is missing in restricted domain.

7 0

3 years ago

HELPP 10 POINTS Here's a graph of a linear function. Write the equation that describes that function.

erastova [34]

m = (y2-y1)/(x2-x1)

m = (6-4)/(4-0)

m = 2/4

y = mx + c

6 = (2/4)(4) + c

c = 4

Thus, the equation is y = (2/4)x +4

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2 years ago

Formula for area the area of a triangle

nordsb [41]

I think A=12bh I hope it’s right

4 0

2 years ago

What is the total weight of 10 buses that each weigh 12 1/3 tons?

Lapatulllka [165]

Answer:

123 tons

Step-by-step explanation:

1) Convert 12 1/3 tons to a decimal - 12.3

2) multiply 12.3 by 10 - 123 tons

7 0

2 years ago

Read 2 more answers

Solving one to two step equations . algebra 1 .

frozen [14]

Answer:

1.) k = 5

2.) n = -20

3.) p = -13

4.) m = -450

5.) b = -38

6.) n = -24

7.) x = 21

8.) x = 12

9.) b = -2

10.) b = 5

Step-by-step explanation:

To solve all equations, do the reciprocal, or opposite of what is being done. For example, if a number and a variable are being multiplied, you would divide by the number to solve.

1.) 55 = 11k

(11 and k are being multiplied, so you would divide)

Divide by 11 on both sides:

55 = 11k

/11 /11

5 = k

2.) Add 15 on both sides:

n - 15 = -35

+15 +15

n = -20

3.) Divide by -6 on both sides:

78 = -6p

/-6 /-6

-13 = p

4.) Multiply by 18 on both sides:

m/18 = -25

18(m/18) = (-25)18

m = -450

5.) Add 20 on both sides:

18 = -20 - b

+20 +20

38 = -b

Divide by -1 on both sides:

38 = -b

/-1 /-1

-38 = b

6.) Subtract 12 on both sides:

12 + n/4 = 6

-12 -12

n/4 = -6

Multiply by 4 on both sides:

4(n/4) = (-6)4

n = -24

7.) Multiply by 2 on both sides:

2(-7 + x/2) = (7)2

-7 + x = 14

Add 7 on both sides:

-7 + x = 14

+7 +7

x = 21

8.) Subtract 2 on both sides:

-4x + 2 = -22

-2 -2

-4x = -24

Divide by -4 on both sides:

-4x = -24

/-4 /-4

x = 12

9.) Add 9 on both sides:

7 = -8b - 9

+9 +9

16 = -8b

Divide by -8 on both sides:

16 = -8b

/-8 /-8

-2 = b

10.) Multiply by -3 on both sides:

-3(b - 14/-3) = (3)-3

b - 14 = -9

Add 14 on both sides:

b - 14 = -9

+14 +14

b = 5

3 0

3 years ago