Answer: 475.59 meters .
Step-by-step explanation:
The correct equation is the following:
[tex]y =-0 .02x^2 +9.5x + 5.6[/tex]
For this exercise you need to use the Quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]
In this case you can identify that the values of "a", "b" and "c" are:
[tex]a=-0.02\\\\b=9.5\\\\c=5.6[/tex]
Now you must substitute these values into the Quadratic formula and then evaluate. You get:
[tex]x=\frac{-9.5\±\sqrt{(9.5)^2-4(-0.02)(5.6)}}{2(-0.02)}\\\\x_1=475.588\\x_2=-0.588[/tex]
Choose the positive one and round it to the nearest hundreth:
[tex]x_1\approx 475.59[/tex]
