Hi! So I got :
-3 —>20
-2 —>13
-1 —>8
0 —>5
1 —>4
2 —>5
3 —>8
I’m sorry if any of these are wrong but In order to find the answers I used the “graphing quadratics” one (don’t know the name so sorry) but yeah first I found the axis of symmetry which was 1 and from there I built a chart and substituted. Again, I didn’t see some answer choices above in the image so sorry if there wrong, but yeah I hope this helped! (This is from algebra 1 by the way)
The answer is: 
<u><em>Explanation</em></u>
Given functions are.......


For finding
, we just <u>need to multiply the two functions</u>
and
. So......
![(f*g)(x)= f(x)*g(x)\\ \\ (f*g)(x)= (x^2-7x+12)(\frac{3}{x^2-16})\\ \\ (f*g)(x)= [(x-3)(x-4)][\frac{3}{(x+4)(x-4)}]\\ \\ (f*g)(x)= \frac{3(x-3)}{x+4} = \frac{3x-9}{x+4}](https://tex.z-dn.net/?f=%28f%2Ag%29%28x%29%3D%20f%28x%29%2Ag%28x%29%5C%5C%20%5C%5C%20%28f%2Ag%29%28x%29%3D%20%28x%5E2-7x%2B12%29%28%5Cfrac%7B3%7D%7Bx%5E2-16%7D%29%5C%5C%20%5C%5C%20%28f%2Ag%29%28x%29%3D%20%5B%28x-3%29%28x-4%29%5D%5B%5Cfrac%7B3%7D%7B%28x%2B4%29%28x-4%29%7D%5D%5C%5C%20%5C%5C%20%28f%2Ag%29%28x%29%3D%20%5Cfrac%7B3%28x-3%29%7D%7Bx%2B4%7D%20%3D%20%5Cfrac%7B3x-9%7D%7Bx%2B4%7D)
Answer: He bought about 6 sodas.
Step-by-step explanation:
Given: Tota cost of tickets = $ 78
Cost of each soda = $4.25
Total cost of sodas and tickets = 102.50
Let x = Number of sodas purchased
Then

Hence, he bought about 6 sodas.
Answer:
Step-by-step explanation:
So first we combine like terms on the left
1-7=-6
then we have
-7x-6=15
next we add 6 both sides
-7x-6=15
+6 +6
-7x=21
then we divide -7 each side
we get
x=-3