Question 1137143
since this quadratic is in standard form of y = ax^2 + bx + c, then a = -.015 and b = -275 and c = 0


the maximum height will be when x = -b/2a.


s = -b/2a becomes x = -275 / (2 * -.015) which becomes x = -275 / -.03 which becomes x = 9166.66666... = 9166 and 2/3.


the roots of this equation can be found using the quadratic formula.


the roots are x = -18333.33333.... and x = 0.


here's a graph of the equation with the maximum value and the value of the roots shown.


<img src = "http://theo.x10hosting.com/2019/032111.jpg" alt="$$$" >