Help!!! Here is a screenshot of the problem.
1 answer:
You might be interested in
Answer:
The roots (zeros) of the function are:
Step-by-step explanation:
Given the function
substitute f(x) = 0 to determine the zeros of the function
First break the expression x² + 3x - 40 into groups
x² + 3x - 40 = (x² - 5x) + (8x - 40)
Factor out x from x² - 5x: x(x - 5)
Factor out 8 from 8x - 40: 8(x - 5)
Thus, the expression becomes
switch the sides
Factor out common term x - 5
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
Solve x - 5 = 0
x - 5 = 0
adding 5 to both sides
x - 5 + 5 = 0 + 5
x = 5
solve x + 8 = 0
x + 8 = 0
subtracting 8 from both sides
x + 8 - 8 = 0 - 8
x = -8
Therefore, the roots (zeros) of the function are:
Answer:
89.
Step-by-step explanation:
We have been given that after taking 7 quizzes, your average is 77 out of 100. We are asked to find what average score be on the next five quizzes to increase your average to 82.
The total of 12 quizzes to get 82 would be .
The total scores earned by you in previous 7 quizzes are
The total scores you need to earn on next 5 quizzes would be difference of scores in 12 quizzes and total scores in 7 quizzes as:
Now, we will divide total scores on coming 5 quizzes by 5 to find the average as:
Therefore, your average score on the next five quizzes should be 89 to increase your average to 82.