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prisoha [69]
3 years ago
9

I don’t understand how to do this without plugging in numbers or using calculus. Please help. I’m studying for the SAT and I onl

y know how to solve with calculus.

Mathematics
1 answer:
Svetllana [295]3 years ago
8 0

Step-by-step explanation:

Recall that for a quadratic equation y = ax² + bx + c in the X-Y plane, the x-location of the vertex (i.e maximum or minimum point) is given by

x @vertex = -b/2a

in this case your quadratic equation is

h = 4 + 20t - 5t²   (rearranging in the form y = ax² + bx + c )

h = - 5t² + 20t + 4

hence a= -5, b = 20 and c = 4

applying the formula for vertex

t @ vertex = -b  /2a = -(20) / (2)(-5) = -20/-10 = 2

therefore t = 2

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