Answer:
f(x) = - 4x² + 24x - 20
Step-by-step explanation:
Given
f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL
= - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4
= - 4x² + 24x - 36 + 16 ← collect like terms
= - 4x² + 24x - 20
Answer:
b=r/10 -a
Step-by-step explanation:
The answer is 24.5.
The numbers are decreasing by 5.5, therefore, 30 - 5.5 = 24.5, and 24.5 - 5.5 = 19.
9514 1404 393
Answer:
- (f×g)(x) = 2x^2 +2x
- (f×g)(x) = 6y^2 -11y -35
Step-by-step explanation:
The distributive property applies.
1. (fg)(x) = f(x)·g(x) = (2x)·(x +1)
(f×g)(x) = 2x^2 +2x
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2. (fg)(x) = f(x)·g(x) = (2y -7)·(3y +5) = 2y(3y +5) -7(3y +5)
(f×g)(x) = 6y^2 -11y -35
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<em>Additional comment</em>
Please note in problem 2 that the function argument is x and the variable in the given expressions is y. This means the function value is exactly and only <em>6y^2 -11y -35 for any value of x</em>. It does not change when x changes. (We suspect a typo.)
Answer:
15.38 of the students reported studying between 50 and 59 minutes.
Step-by-step explanation: