H(x) = - (x-11)(x+3)
what is the height of the hovercraft at the time of takeoff?

33 feet

Step-by-step explanation:

height of hovercraft  x  seconds after takeoff  =  h(x)  =  -(x - 11)(x + 3)

We want to know the height of the hovercraft  0  seconds after takeoff.

height of hovercraft  0  seconds after takeoff  =  h(0)  =  -(0 - 11)(0 + 3)  =  -(-11)(3)  =  33

So...

The height of the hovercraft at the time of takeoff is  33  meters.

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step-by-step explanation:

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infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions