Raymond B. answered • 01/10/21
Tutor
5
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Math, microeconomics or criminal justice
-29w^2 -13w -13 = f(w) is a quadratic equation, graphically it's a downward sloping parabola, with w measured on the x axis
set it equal to zero to solve for the x intercepts, if there are any
the discriminate is 169-4(-29)(-13) <0 which means no x intercepts. the zeroes or roots are imaginary
take the derivative to find the axis of symmetry
and the max or minimum point
-58w -13 = 0
w = -58/13 = axis of symmetry
-29(-58/13)^2 -13(--58/13) +13 = -29(58^2)/169 +58+13 = about -577+71 = -506
vertex of the parabola is (-58/13, -506) which is also the maximum point
