Modeling with Quadratic Equations Answers

Determine the value of f, rounded to the nearest hundredth.

Which quadratic equation models the situation correctly?

10✔ 2550

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What is the vertex of the parbola? ([___], [___])

Complete the quadratic equation that models the situation. h(t) = –16t2 + t + 6

A(w) = w2 – 50wA(w) = w2 – 100wA(w) = 50w – w2A(w) = 100w – w2

Choose the quadratic equation that models the situation.h(t) = -4.9t² + 50.2h(t) = -4.9t² + 55.1✔ h(t) = -4.9t² + 60h(t) = -4.9t² + 66

What is the equation that describes the parabola formed by the arch?

Match each item with what it represents in this situation by entering the appropriate letter in each box.ABCD x-coordinate of the vertex of the function

Which quadratic equation models the situation correctly? y = -0.0025(x - 90)² + 6y = -0.0025(x - 30)² + 15y = 0.0025(x - 90)² + 6y = 0.0025(x - 30)² + 15

Which quadratic equation gives the area A of the rectangle in square feet given its width in w feet?A(w) = -w² + 200wA(w) = -w² + 100wA(w) = w² + 40wA(w) = w² + 90w

The rancher decides to make the width of the rectangle 40 ft. What is the area of the rectangle? ft2

The greatest rectangular area that the farmer can enclose with 100 m of fencing is [___] m2.

To the nearest foot, what is the width of the arch 8 ft above the water? ft

ABCD y-coordinate of the vertex of the function

The main cable attaches to the left bridge support at a height of ft.