PLEASE HELP ME ASAP Tyler needs to score 100 points on his final math test of the year to improve his average score from 76 to 79. How many math tests are there in a year?

8 tests

Step-by-step explanation:

Let's call the number of total math tests in a year as x. Therefore, excluding the final test, the total number of tests in a year is x - 1. Since his original average was 76, that means that the sum of his test scores without the final was 76(x - 1), and because getting a 100 on his final gets him a 79, the sum of all his scores is 76(x - 1) + 100, which will be equal to 79 * x, therefore:

76(x - 1) + 100 = 79x

76x - 76 + 100 = 79x

24 = 3x

x = 8 tests

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.