5. Which situation is NOT represented by the equation shown below? 3x + 10 = 90
A Two angles are complementary. One angle has a measure of x degrees. The second angle
a measure that is 10 degrees more than twice the first angle. What is the value of x?
B Loretta saved the $10 she received for her birthday. She plans to save $3 a week from her
allowance. How many weeks, x, will it take her to save a total of $90?
C One number is 10 more than three times a smaller number. The larger number is 90. Wha
the smaller number, x?
D Sandy bought 2 extra large pizzas and 1 medium pizza for a total of $90. The small pizza
$10. What did the extra large pizza cost?

a

Step-by-step explanation:

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