Answer:
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
[tex]h(x)=-2x^2+1x+6[/tex]
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
[tex]h(x)=0[/tex]
or equivalently
[tex]-2x^2+1x+6=0[/tex]
Factoring
[tex](x-2)(-2x-3)=0[/tex]
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
