Answer: x<8
interval notation is ( -∞,8)
Step-by-step explanation:
x<8
interval notation is ( -∞,8)
<h2>
Explanation:</h2>
In this problem we have a pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. So the height, h, of the pumpkin at time t seconds after the launch can be modeled by the equation:

So this is the equation of a parabola. The maximum of this parabola occurs at its vertex. So let's find this vertex:

Finally, the maximum occurs at time 2.625 seconds when the height is 130.25m
Each position in the sequence has 3 choices, and there are 5 positions, so we multiply 3 by itself 5 times:
The sentence in numerical form is 5x/7≤10
to solve, multiply by 7
5x≤70
lastly, divide by 5
x≤14