Answer:
The vertex of the function is (1.333, 4.667)
Step-by-step explanation:
1. Calculate -b / 2a. This is the x-coordinate of the vertex.
2. simply plug -b / 2a into the equation for x and solve for y.

Calculate -b/2a:


This is equal to 1.33 recurring
Plug 8/6 for x and solve for y:



This is equal to 4.66 reccuring.
Answers and Explanations:
4. They do not have a proportional relationship. For the first 3 sets, you can multiply x by 2.5 to get y. But that does not work for 8 and 18, so there is no proportional relationship between x and y.
5. Yes. For equilateral triangles, the side length is equal to the perimeter divided by 3, the number of sides. Vise versa, the side length times 3 equals the perimeter. If the side length is 3 in, multiply by 3 to get 9 in, the diameter.
6. Yes. it is proportional. X times 80 equals Y. In this case, in 8 hours, 640 tickets were sold.
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24 inches, because if you were to multiply six, by four, since four is the number of sides a square has, it would be 24
X=number of months
how much is deducted total=number of months times amount deducted per m onth
amount deducted per month=45
number of months=x
how much deducted total=45x
460-deducted total is more than 100
460-45x>100
solve for x
add 45x to both sides
460>100+45x
subtract 100
360>45x
divide both sides by 45
8>x
answer is 7 months
if he does 8 months, then he will have exatly 100 and 100 is noe more than 100
answer is 7 months