Please Help!! Question 5:
Kelly went to a hockey game with her family. They bought 4 bags of cotton candy and 2 souvenir cups and spent $36. Marissa's family went to the same game, bought 7 bags of cotton candy and 3 souvenir cups, and spent $59. How much did one souvenir cup cost at the game?

A) $5
B) $6
C) $7
D) $8

Question 9:
Nellie is analyzing a circle, y^2 + x^2 = 25, and a linear function g(x). Will they intersect?

y^2 + x^2 = 25 graph Is on the bottom of the answers

g(x):
x g(x)
−7 −2
−6 −1
1 6

Yes, at positive x‐coordinates or zero
Yes, at negative x‐coordinates or zero
Yes, at negative and positive x‐coordinates or zero
No, they will not intersect

step-by-step explanation:

abc

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1