Answer:
(x - 9)(x + 3)
Step-by-step explanation:
Given
x² - 6x - 27
Consider the factors of the constant term (- 27) which sum to give the coefficient of the x- term (- 6)
The factors are - 9 and + 3, since
- 9 × 3 = - 27 and - 9 + 3 = - 6, thus
x² - 6x - 27 = (x - 9)(x + 3)
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Step-by-step explanation:
Let's rewrite the given equation such that only y is on the left side and everything else on the right side:

Simplifying this by dividing by 6, we get

This line has a slope of -1/2, which means that a line perpendicular to this has a slope of 2 (i.e., negative reciprocal). So we can write its equation as

This is the slope-intercept form of the equation of the line perpendicular to our given line. To complete this form, we need to find the value of b. Since this line passes through (1, -7), put these numbers into our equation to get

Therefore, the slope-intercept form of the equation can be written as

Mean = (19 +27 +25+21+44+22+45+34)/8 = 29.625≈30 years
Answer is 30.