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Dmitry [639]
3 years ago
15

H=3+14t-5t^2 What is its maximum height

Mathematics
1 answer:
timurjin [86]3 years ago
5 0

Answer:

12.8

Step-by-step explanation:

Given a parabola in standard form , ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

h = 3 + 14t - 5t² ← is in standard form

with a = - 5 and b = 14, thus

x_{vertex} = - \frac{14}{-10} = 1.4

Substitute t = 1.4 into h for maximum height

h = 3 + 14(1.4) - 5(1.4)²

   = 3 + 19.6 - 9.8 = 12.8

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