A college surveys local businesses about the importance of students as customers. The college chooses 150 businesses at random from telephone listings. Of these, 68 return the questionnaire. The population being studied is:

A. The set of all local businesses

B. The 68 businesses who returned surveys

C. The 150 businesses who were sent surveys

D. All the students at the college

The proportion of businesses who did not respond = 54.67%

Given : Total businesses = 150

Businesses responded = 68

Businesses did not respond =  150- 68 = 82

The proportion of businesses who did not respond =

82/150 x 100

54.67%

rick would give her the best deal as he will charge $8.88 per hour

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