Answer:
The squirrel maximum height (h) = 21.125 ft
Step-by-step explanation:
The objective of this question is to determine the squirrel's maximum height.
Given that:
h = -2t² + 9t + 11
Differentiating h with respect to t, we get;
At the time dh/dt = 0, the velocity is maximum
Thus;
-4t = -9
4t = 9
t = 9/4
t = 2.25 seconds
From;
h = -2t² + 9t + 11
h = - 2(2.25)² + 9(2.25) + 11
h = - 10.125 + 20.25 + 11
h = 21.125 ft
Looking at the problem statement, the question is asking for us to determine the justification for the steps that are used to help solve the equation. We are given the expression to help achieve that goal.
Now that we know what we must do to finish this problem let us look how this equation can be solved. When the term solve the equation is used it refers to us solving for the unknown, in this case being the variable x. We can see that we have on the left side and in order to solve the equation x must be alone so we would subtract 17 from both sides.
<u>Subtract 17 from both sides</u>
Therefore, we know that we must subtract the same number from both sides and this justification is known as the Subtraction Property of Equality. This basically states that an equal value needs to be subtracted from both sides and it will become a new equation but with the same result.