Mathematics Problem Solving

A rock is thrown from a bridge. The height of the rock above the water, in feet, t seconds after it is thrown is given by -16t^2x + 12x+ 44. How many seconds does it take for the rock to hit the water?

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A rock is thrown from a bridge. The height of the rock above the water, in feet, t seconds after it is thrown is given by -16t^2x + 24x + 84. How many seconds does it take for the rock to hit the water?

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The sales of new products over time are found to follow a quadratic model before dropping off to zero at the end of the product’s lifetime. A new product is released with sales modeled by the equation -(x-3)^2 + 9, where S represents the sales in millions of dollars and t represents the number of years the product will be sold. According to the equation, what will be the lifetime of this product?

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The sales of new products over time are found to follow a quadratic model before dropping off to zero at the end of the product’s lifetime. A new product is released with sales modeled by the equation -(x-5)^2 + 16, where S represents the sales in millions of dollars and t represents the number of years the product will be sold. According to the equation, what will be the lifetime of this product?

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Consider this function x^2 + 5x - 24. Where is the function g(x) equal to zero?

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Consider this function x^2 - 4x - 32. Where is the function g(x) equal to zero?

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A rectangular deck is made up of four wooden beams. The length of the rectangular deck is given by x feet, and the width is 6 feet less than the length. The total area of the deck, in square feet, is a function of the distance x, in feet. What is the function, A(x), that represents the total area of the deck, in square feet?

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A rectangular deck is made up of four wooden beams. The length of the rectangular deck is given by x feet, and the width is 7 feet less than the length.

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The width of Gabby's backyard is 7 meters shorter than its length, and its area is equal to 125 square meters. Which equation can be used to find the possible values for the length of Gabby's backyard, x?

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The width of Gabby's backyard is 2 meters shorter than its length, and its area is equal to 212 square meters. Which equation can be used to find the possible values for the length of Gabby's backyard, x?

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