Select the correct answer from each drop-down menu. A teacher is making a history test composed of the same number of multiple choice questions as short-answer questions. She estimates it will take students an average of 2 minutes to complete each multiple choice question and an average of 3.5 minutes to complete each short answer question. Write an inequality to determine how many questions, the teacher can include if the test must take students less than 45 minutes to complete. 45 1st column
2(3.5)+n
2+3.5+n
2(3.5n)
2n+3.5n)

2nd column
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b

step-by-step explanation:

the word superfluous means unnecessary

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

no

step-by-step explanation: