The maximum height is 9.0 feet and the time to hit the ground is 4.5 seconds
<h3>How to determine the maximum height?</h3>
The function is given as:
f(x) = -0.6x^2 + 2.7x + 6
Differentiate
f'(x) = -1.2x + 2.7
Set to 0
-1.2x + 2.7 = 0
Subtract 2.7 from both sides
-1.2x = -2.7
Divide both sides by -1.2
x = 2.25
Substitute x = 2.25 in f(x) = -0.6x^2 + 2.7x + 6
f(2.25) = -0.6(2.25)^2 + 2.7(2.25) + 6
Evaluate
f(2.25) = 9.0
Hence, the maximum height is 9.0 feet
<h3>How to determine the time to hit the ground?</h3>
The time to hit the ground is twice the time to reach the maximum height.
In (a), we have:
x = 2.25
So, we have:
Time = 2 * 2.25
Evaluate
Time = 4.5
Hence, the time to hit the ground is 4.5 seconds
Read more about quadratic functions at:
brainly.com/question/1214333
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The answer to this question is D and B
Answer: ( x - 1 ) ( x + 4 ) = 0.
Step-by-step explanation:
Let's see 1. To make this equal to zero you write x - 1 where you substitute 1 in x.
Again let's see -4. To make it equal to zero, you write x + 4 where you substitute -4 in x.
So, this results in ( x - 1 ) ( x + 4 ) = 0
13. A
14. B
15. B
16. D
17. B
18. D
19. A
20. C