(p of q)(x) means that q(x) is inserted into p(x).
p(q(x)) = 2(x - 3)^2 - 4
Expand (x - 3)^2.
p(q(x)) = 2(x^2 - 6x + 9) - 4
p(q(x)) = 2x^2 - 12x + 14
These angles are supplementary.
Complementary angles add up to 90 degrees. Supplementary angles add up to 180 degrees. 82 degrees + 98 degrees = 180 degrees.
The answer is boxed in. follow the arrows.
A box (cube) has all equal edges or sides (s), thus the volume (v) of the cube is:
![v = {s}^{3} \\ 27 \: {in}^{3} = {s}^{3} \\ \sqrt{( {s}^{3}) } = \sqrt{( {27in}^3)} \\ s = 3 \: in](https://tex.z-dn.net/?f=v%20%3D%20%20%7Bs%7D%5E%7B3%7D%20%5C%5C%2027%20%5C%3A%20%20%7Bin%7D%5E%7B3%7D%20%3D%20%20%7Bs%7D%5E%7B3%7D%20%20%5C%5C%20%20%5Csqrt%7B%28%20%7Bs%7D%5E%7B3%7D%29%20%7D%20%3D%20%20%5Csqrt%7B%28%20%7B27in%7D%5E3%29%7D%20%20%5C%5C%20s%20%3D%203%20%5C%3A%20in)
So since each side or edge around is 3 in, then the length around the square bottom of the box = 4×3 = 12 in
She received 15% off, so she actually paid 85%
0.85(( 3*4.95) + (2* 3.25) + (2*1.75) + 5.35)) = 0.85(30.20) = 25.67
um...I have double checked this, and I am not getting an answer choice.