Answer:
The solution is .
Step-by-step explanation:
Given:
The inequality given is:
In order to simplify for 'x', we first isolate 'x' on one side.
Adding -4 on both sides, we get:
Now, is an absolute value function which is defined as:
Therefore, the given inequality can be rewritten as:
and
Therefore, the solution is .
Answer:
The maximum height that the ball will reach is 81 ft
Step-by-step explanation:
Note that the tray of the ball is given by the equation of a parabola of negative main coefficient. Then, the maximum value for a parabola is at its vertex.
For an equation of the form
So
the t coordinate of the vertice is:
In this case the equation is:
So
Therefore
Finally the maximum height that the ball will reach is