Question

I realize this is a large math problem. I am hopeful to get some help in solving this problem. Thank you in advance.

Answer 1

So,

To complete the table, we're given the folloing equation:

All we need to do is to replace "x" by a number so we can find the value that takes P. For example, let's complete the table when x=0:

The, wen x=0, P=-30. So that's our fiirst missing value in the table.

We use the same process with the other values.

When x=2a:

$P(20)=-\frac{1}{20}(20)^2+5(20)-30=50$

So, the missing value when x=20 is P=50.

The process is the same with the other values:

$\begin{gathered} x=30: \\ P=-\frac{1}{20}(30)^2+5(30)-30=75 \end{gathered}$$\begin{gathered} x=50: \\ P=-\frac{1}{20}(50)^2+5(50)-30=95 \end{gathered}$$\begin{gathered} x=60: \\ P=-\frac{1}{20}(60)^2+5(60)-30=90 \end{gathered}$$\begin{gathered} x=90: \\ P=-\frac{1}{20}(90)^2+5(90)-30=15 \end{gathered}$

So that's the complete table.