1. figure c
2.figure b
3. figure a b and c
The answer is 16. 1^2 is 1, 2^2 is 4, 3^2 is 9, and 4^2 would be 16.
Answer:
The host can only prepare 7 plates
Step-by-step explanation:
7 plates, each will contain 1 slice of cherry pie and 2 slices of pumpkin pie. (14/7 = 2)
<h3>The value of y is 4</h3>
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
![\frac{1}{4}x + \frac{1}{8}y =2 ---------- eqn\ 1\\\\\frac{1}{3}x + \frac{1}{2}y = 4 -------------- eqn\ 2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx%20%2B%20%5Cfrac%7B1%7D%7B8%7Dy%20%3D2%20----------%20eqn%5C%201%5C%5C%5C%5C%5Cfrac%7B1%7D%7B3%7Dx%20%2B%20%5Cfrac%7B1%7D%7B2%7Dy%20%3D%204%20--------------%20eqn%5C%202)
We have to find value of y
From eqn 1,
![\frac{1}{4}x + \frac{1}{8}y =2 \\\\2x + y = 2 \times 8\\\\2x + y = 16 ---- eqn\ 3](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx%20%2B%20%5Cfrac%7B1%7D%7B8%7Dy%20%3D2%20%5C%5C%5C%5C2x%20%2B%20y%20%3D%202%20%5Ctimes%208%5C%5C%5C%5C2x%20%2B%20y%20%3D%2016%20----%20eqn%5C%203)
From eqn 2,
![\frac{1}{3}x + \frac{1}{2}y = 4\\\\2x + 3y = 4 \times 6\\\\2x + 3y = 24 ------ eqn\ 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%20%2B%20%5Cfrac%7B1%7D%7B2%7Dy%20%3D%204%5C%5C%5C%5C2x%20%2B%203y%20%3D%204%20%5Ctimes%206%5C%5C%5C%5C2x%20%2B%203y%20%3D%2024%20------%20eqn%5C%204)
Subtract eqn 3 from eqn 4
2x + 3y = 24
2x + y = 16
( - ) -----------------
2y = 8
y = 4
Thus value of y is 4
(-2-4y)(-8)
Use distributive property:
(-2*-8)+(-4y-8)
(remember that when 2 negative numbers are multiplied together it becomes positive.
16+32y
Hope this helps :)