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

Step-by-step 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

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

or equivalently

Factoring

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

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