7x+12+63=180
8x+12=180
Subtract 12 from both sides
8x= 168
=c=21
10x-40=50
Add 40 to both sides
10x=90
X=9
4x+72+2x-12=180
6x +60 =180
Subtract 60 from both sides
6x=120
X=20
10 x 3 x 2 = the volume
10 x 3 = 30
30 x 2 = 60 cm^3
it is cm^3 because all of the numbers you have are in cm
Answer:
The inverse function of
is 
Step-by-step explanation:
Inverse of a function:
To find the inverse of a function
, basically, we have to reverse r. We exchange y and x in their positions, and then we have to isolate y.
In your exercise:
![y = \sqrt[3]{x} - 8](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D%20-%208)
Exchanging x and y, we have:
![x = \sqrt[3]{y} - 8](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7By%7D%20-%208)
![x + 8 = \sqrt[3]{y}](https://tex.z-dn.net/?f=x%20%2B%208%20%3D%20%5Csqrt%5B3%5D%7By%7D)
Now we have to write y in function of x
![(x+8)^{3} = (\sqrt[3]{y})^{3}](https://tex.z-dn.net/?f=%28x%2B8%29%5E%7B3%7D%20%3D%20%28%5Csqrt%5B3%5D%7By%7D%29%5E%7B3%7D)

So, the inverse function of
is 
I think 12. I'm not sure though. The way I came up with that answer is the tree diagram. I used the numbers 1, 2, 3, 4, . Then I did the tree diagram method.
Answer:
a. 2
b. x^2 + 10x + 26
c. x^2 + 2x + 2
Step-by-step explanation:
For each part, replace x with the value you are given and simplify.
f(x) = x^2 - 2x + 2
a.
f(2) = 2^2 - 2(2) + 2 = 2
b.
f(x + 6) = (x + 6)^2 - 2(x + 6) + 2
= x^2 + 12x + 36 - 2x - 12 + 2
= x^2 + 10x + 26
c.
f(-x) = (-x)^2 - 2(-x) + 2
= x^2 + 2x + 2