Choose the quadratic model for the situation.



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Which quadratic equation models the situation correctly?
A(w) = w2 – 50wA(w) = w2 – 100wA(w) = 50w – w2A(w) = 100w – w2
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PENDING
Find the length and width of the greatest rectangular area that the farmer can enclose with 100 m of fencing.
Find the length and width of the greatest rectangular area that the farmer can enclose with 100 m of fencing. The length is m and the width is m.
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
To the nearest tenth of a second, how long after the pebble falls will it hit the ground? s
What is the equation that describes the parabola formed by the arch?
The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What equation do you need to solve to find the selling price or prices that would generate $50 in daily profit? What method would you use to solve the equation? Justify your choice.
To find the selling prices that generate a $50 profit, replace y with 50 in the equation: 50 = –10x² + 160x – 430. Next, rewrite the equation in standard form by subtracting 50 from both sides to get 0 = –10x² + 160x – 480. Factoring is the best method because the entire equation can be divided by –10 to get 0 = x² – 16x + 48, which easily factors into (x – 4)(x – 12) = 0. This results in selling prices of $4 or $12.
Match each item with what it represents in this situation by entering the appropriate letter in each box. x-coordinate of the vertex of the function y-coordinate of the vertex of the function an x-intercept of the function a y-intercept of the function
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10✔ 2550
y-coordinate of the vertex of the function
an x-intercept of the function
a y-intercept of the function
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