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A hovercraft takes off from a platform. It’s height (in meters), x seconds after takeoff, is modeled by h(x)=-(x-11)(x+3) How many seconds a
Question
A hovercraft takes off from a platform. It’s height (in meters), x seconds after takeoff, is modeled by h(x)=-(x-11)(x+3) How many seconds after takeoff will the hovercraft land on the ground?
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Mathematics
5 years
2021-08-05T16:15:09+00:00
2021-08-05T16:15:09+00:00 1 Answers
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Answers ( )
Answer:
11seconds
Step-by-step explanation:
Given the height of the hovercraft expressed as;
(x)=-(x-11)(x+3)
The height of the hovercraft on the ground is 0, hence;
0 =-(x-11)(x+3)
-(x-11)(x+3) = 0
Multiply both sides by minus
(x-11)(x+3) = 0
x-11 = 0 and x+3=0
x = 11 and -3
Since time cannot be negative, hence the hovercraft will land after 11seconds