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Huseues'iahBVUJBFVedhbvxcsdacas

User Mark Meyer
by
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1 Answer

5 votes

Answer:

Thus, at x=2 seconds, the ball will hit the ground

Explanation:

Numerical Value of Functions

For any given function h(x) the independent variable x can have any value that belongs to the function domain, and they produce corresponding values for h.

The soccer ball kicked in the air has a function for the path given by


h(x)=-2x^2+1x+6

where x is the time in seconds and h is the height of the soccer ball.

The question asks for what time will the soccer ball hit the ground, or find the values of x such as


h(x)=0

or equivalently


-2x^2+1x+6=0

Factoring


(x-2)(-2x-3)=0

The only valid solution is

x=2 seconds

The other solution yields a negative time

Thus, at x=2 seconds, the ball will hit the ground

User Robin Castlin
by
8.2k points

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