F(x) = -x² + 49
g(x) = -x + 7
(f - g)(x) = (-x² + 49) - (-x + 7)
(f - g)(x) = (-x² + 49) + (x - 7)
(f - g)(x) = -x² + x + 49 - 7
(f - g)(x) = -x² + x + 42
Answer:
B. 128 square centimeters
Step-by-step explanation:
So first make the top triangle part its own figure. By using information provided you can figure out the height of the triangle would be 3 by subtracting 11 from 14. Take 3 multiply it by the base and then 1/2 to get 18. Then find the area of the rectangle which would be 10 times 11 which is 110. Add the areas of the two parts, 110 and 18 to get 128.
Answer:
3x(x - 4)(x + 2)
Step-by-step explanation:
Given
3x³ - 6x² - 24x ← factor out common factor of 3x from each term
= 3x(x² - 2x - 8) ← factor the quadratic
Consider the factors of the constant term (- 8) which sum to give the coefficient of the x- term.
The factors are - 4 and + 2, since
- 4 × 2 = - 8 and - 4 + 2 = - 2, thus
x² - 2x - 8 = (x - 4)(x + 2) and
3x³ - 6x² - 24x = 3x(x - 4)(x + 2)
Answer:
$90
Step-by-step explanation:
15 × 5 = 75
75 + 15 = 90
$90
