Answer:
Step-by-step explanation:
The given function is

The graph of this function is a parabola that opens downwards
The line
intersects this parabola, when

The teammate can spike the ball after 0.25 seconds or 0.5 seconds.
The two solutions are reasonable. When the volleyball is accelerating into the air, it passes a height of 8 after 0.25 seconds.
When the ball is dropping after it attains maximum height, it attains another height of 8 after 0.5 seconds again.
Technically you would have to divide 18 in half which is 9 so 9 is your possible answer.
Answer:
(1.35, 1.6)
Step-by-step explanation:
A screenshot of the graph is attached.
Once we graph the equations
and
, the solution to this system will be their intersection point.
Tracing the graph on the calculator, we see that the point of intersection is at about (1.35, 1.6).