Answer:
x=1, y= -2
Step-by-step explanation:
Please see the attached pictures for full solution.
Answer:
<h2>A. x + 4</h2>
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
f(x) = 3x + 2, g(x) = 2x - 2.
Substitute:
(f - g)(x) = (3x + 2) - (2x - 2) = 3x + 2 - 2x - (-2) = 3x + 2 - 2x + 2
<em>combine like terms</em>
(f - g)(x) = (3x - 2x) + (2 + 2) = x + 4
Answer:
C = 14pi
Step-by-step explanation:
C = pi d
The radius is 7 so the diameter is
d = 2r
d = 2*7
=14
C = pi *14
C = 14pi
She should add 48 ounces of of seltzer water because it will allow at least 10 servings. 32 ounces would only be enough to make 8.88 servings
the volume of the triangular prism will be, the area of the triangular face times its length
![\stackrel{\textit{area of the triangle}}{\left[ \cfrac{1}{2}(\underset{b}{8})(\underset{h}{8}) \right]}~~ ~~\stackrel{length}{(x)}~~ = ~~\stackrel{volume}{576}\implies 32(x)=576 \\\\\\ 32x=576\implies x=\cfrac{576}{32}\implies x=18](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Ctextit%7Barea%20of%20the%20triangle%7D%7D%7B%5Cleft%5B%20%5Ccfrac%7B1%7D%7B2%7D%28%5Cunderset%7Bb%7D%7B8%7D%29%28%5Cunderset%7Bh%7D%7B8%7D%29%20%5Cright%5D%7D~~%20~~%5Cstackrel%7Blength%7D%7B%28x%29%7D~~%20%3D%20~~%5Cstackrel%7Bvolume%7D%7B576%7D%5Cimplies%2032%28x%29%3D576%20%5C%5C%5C%5C%5C%5C%2032x%3D576%5Cimplies%20x%3D%5Ccfrac%7B576%7D%7B32%7D%5Cimplies%20x%3D18)
