To get onto the Honor Roll, Max has to get an average in math of at least a 90.
For five exams, he has an average of 88. What must he score on the next exam
to bring his average up to exactly 90?

He needs to score 100 in his next test.

Step-by-step explanation:

The average of the exams is given by the sum of each exam score divided by the number of exams he took, therefore his prior average is:

Since he took five exams and had an average of 88, then his prior sum of grades is:

He needs to score "x" in his next test in order to have an 90 average, therefore if we add "x" to the sum of his grades and add 1 to the prior number of tests then equal that to 90, we can solve for "x". We have:

He needs to score 100 in his next test.

you need a common difference between consecutive terms to be constant, like 1,2,3,4 or 2,4,6,8, or 1,3,6,9

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.