Find the area, in square units, of ABC plotted below.
A(0,7)
B(7,-2)
D(2, -3)
C(-3,-4)

Given:

The function is

[tex]m(x)=x^2-17x[/tex]

To find:

The inverse of the given function.

Solution:

We have,

[tex]m(x)=x^2-17x[/tex]

Substitute m(x)=y.

[tex]y=x^2-17x[/tex]

Interchange x and y.

[tex]x=y^2-17y[/tex]

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

[tex]x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2[/tex]

[tex]x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2[/tex]

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

Taking square root on both sides.

[tex]\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}[/tex]

Add [tex]\dfrac{17}{2}[/tex] on both sides.

[tex]\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y[/tex]

Substitute [tex]y=m^{-1}(x)[/tex].

[tex]m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}[/tex]

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

[tex]x+\left(\dfrac{17}{2}\right)^2\geq 0[/tex]

[tex]x\geq -\left(\dfrac{17}{2}\right)^2[/tex]

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

Hence, option D is correct.

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

Answer:

C on edu

Step-by-step explanation:

Answer:

3 9/20

Step-by-step explanation:

first find a common demonator and change the denomators and what ever you did to the bottom you do to the top, then subtract them.

Answer:

1

Step-by-step explanation:

=$75.66 all in all and $67.99 dollars

Answer:

22.50

and you can pleasent do 22.50

Step-by-step explanation:

Answer:

i think its C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

its just division tbh

Answer:

2 and -9

Step-by-step explanation:

2 times -9 is -18

2 plus -9 is -7

Hope this helped!

Answer:

b s=3w

Step-by-step explanation:

when graphed its a straight line and it goes through the orgin so its proportional

Answer:

y=−5.4x

Step-by-step explanation:

Slope -5.4

Intercept -14.80

Answer:There are 4 serving in the container.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Took Edge 2020 Fraction Multiplication and Division Test

Answer:

24.99

Step-by-step explanation:

We first must figure out the current price of the jacket, we need to multiply the original price (124.95) times .80 (1.00 - .20). Doing so we get a total of 99.96. In order to find the savings, we subtract the original price by the new price. 124.95-99.96 = a savings of 24.99

Answer:

You would be saving 24.99 dollars

Step-by-step explanation:

Find 20% of 124.95 using P(percentage in decimal form) times X(original number) and you should have your answer.

Hope this helps!

Answer:

bowl of colorful marbels

Step-by-step explanation:

bowl+marbels

Answer:

C not adjacent because adjacent angles are right next to each other. And <1 and <3 are not right next to each other.

Step-by-step explanation:

They are not vertical angles this is what vertical angles look like ><

They are not adjacent or a linear pair.

So it is C.

Answer:

0

*see below incase you worded it wrong

Step-by-step explanation:

then we substitute 2 for f(x)

2 = 3x + 2

0 = 3x

x = 0

UNLESS you mean f(2) is what then that is:

f(2) = 3(2) + 2 = 8

hope that helps!

Answer:

z1(z2 + z3) = z1 z2 + z1 z3 ⇒ verified down

Step-by-step explanation:

∵ z1 = 4 + 3i

∵ z2 = 3 - 2i

∵ z3 = i + 5

→ Find the left side

∵ z1(z2 + z3) = (4 + 3i)[3 - 2i + i + 5]

∴ z1(z2 + z3) = (4 + 3i)[(3 + 5) + (-2i + i)]

∴ z1(z2 + z3) = (4 + 3i)(8 - i)

∴ z1(z2 + z3) = (4)(8) + (4)(-i) + (3i)(8) + (3i)(-i)

∴ z1(z2 + z3) = 32 - 4i + 24i - 3i²

→ Remember that i² = -1

∴ z1(z2 + z3) = 32 - 4i + 24i - 3(-1)

∴ z1(z2 + z3) = 32 - 4i + 24i + 3

→ Add the like terms

∴ z1(z2 + z3) = (32 + 3) + (-4i + 24i)

∴ z1(z2 + z3) = 35 + 20i

→ Find the right side

∵ z1 z2 + z1 z3 = (4 + 3i)(3 - 2i) + (4 + 3i)(i + 5)

∴ z1 z2 + z1 z3 = [(4)(3)+(4)(-2i)+(3i)(3)+(3i)(-2i)] + [(4)(i)+(4)(5)+(3i)(i)+(3i)(5)]

∴ z1 z2 + z1 z3 = [12 -8i + 9i -6i²] + [4i + 20 + 3i² + 15i]

→ Replace i² by -1

∴ z1 z2 + z1 z3 = [12 -8i + 9i -6(-1)] + [4i + 20 + 3(-1) + 15i]

∴ z1 z2 + z1 z3 = [12 -8i + 9i + 6] + [4i + 20 - 3 + 15i]

→ Add the like terms

∴ z1 z2 + z1 z3 = [12 + 6 + 20 - 3] + [-8i + 9i + 4i + 15i]

∴ z1 z2 + z1 z3 = 35 + 20i

∵ The left side = 35 + 20i

∵ The right side = 35 + 20i

∴ The left side = the right side

∴ z1(z2 + z3) = z1 z2 + z1 z3

Answer:

although it is true that could be -(1/4)^4

if you multiply the answer can also be -1/256

Heya!!

your answer is!

-1/256

Answer:

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

5 is in the hundreths place :))

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

since the place value of the five is beyond the decimal point, and it is the second number beyond the decimal point, so it is in the hundredths place.

Answer:

7, 0.8, 1/2, -0.8, -1/10, -2, -3,

Step-by-step explanation:

accidently put greatest to least just flip it i still want brainliest tho

Answer: 1.43

Step-by-step explanation:

Answer:

1.432044444444301e+17

Step-by-step explanation:

Answer:

2x+8=x-4

Step-by-step explanation:

I think that's right, let me know if it's wrong and I'll delete

Answer:

what is the question

Step-by-step explanation:

i don't understand what you're trying to say

Answer:

c

Step-by-step explanation:

%gggggyyhhttbu6gnmk8tg

Answer:

(108-27)/3 =27

Each bus has 27 students, because 108-27=81, 81/3=27

Step-by-step explanation:

Hope this helps! <3

Answer:

It would be C

Step-by-step explanation: