Question 969572
{{{ h(x) = -.01x^2 + 1.18x + 1.19 }}}
The formula for {{{ x }}} value where
{{{ h(x) }}} is a maximum is:
{{{ x[max] = -b/(2a) }}}
{{{ a = -.01 }}}
{{{ b = 1.18 }}}
--------------
{{{ x[max] = -1.18 / (-.02) }}}
{{{ x[max] = 59 }}}
Plug this into equation to find {{{ h( 59 ) }}}
{{{ h(59) = -.01*59^2 + 1.18*59 + 1.19 }}}
{{{ h(59) = -34.81 + 69.62 + 1.19 }}}
{{{ h(59) = 36 }}}
The maximum height is 36 ft
--------------------------
check:
Here's the plot:
{{{ graph( 400, 400, -10, 150, -5, 45, -.01x^2 + 1.18x + 1.19 ) }}}
Looks about right