Mathematics: A hovercraft takes off from a platform. Its height (in meters), x xx seconds after takeoff, is modeled by: h ( x ) = − 3 ( x − 3 ) 2 + 108 h(x)=−3(x−3) 2 +108h, left parenthesis, x, right parenthesis, equals, minus, 3, left parenthesis, x, minus, 3, right parenthesis, squared, plus, 108 What is the height of the hovercraft at the time of takeoff?

A hovercraft takes off from a platform. Its height

ashiyah74

27.01.2022

81 meters.

Step-by-step explanation:

The height (in meters), h(x) of a hovercraft x seconds after takeoff, is modeled by:

h(x)=-3(x-3)^2+108

We are to determine its height at the time of takeoff.

Now, at the time of takeoff, x=0.

We substitute x=0 to solve for h.

$h(0)=-3(0-3)^2+108\\=-3(-3)^2+108\\=-3(9)+108\\=-27+108\\=81$ meters$

The height of the hovercraft at takeoff is 81 meters.

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