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Determine the quadratic function whose graph is given below. The quadratic function which describes the given graph is f(x) = 20 My (Type an expression.)
Determine the quadratic function whose graph is given below. The quadratic function which describes the given graph is f(x) = 20 My (Type an expression.) Jo- X -10 -5 (0, - 2) 5 10 -10- (3, -11) -20-Determine the quadratic function whose graph is given below q 2: The quadratic function which describes the given graph is x): (Type an expression.) The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation x = - 6p +600. Answer parts (a) through (9). (a) Find a model that expresses the revenue R as a function of p. (Remember, R = xp.) R(p) = (Simplify your answer. Use integers or decimals for any numbers in the expression.) (b) What is the domain of R? Assume that R is nonnegative. O A. The domain is {p| |sps } (Simplify your answers. Type integers or decimals.) O B. The domain is the set of all real numbers. (c) What price p maximizes revenue? p =$ (Simplify your answer. Type an integer or a decimal.) (d) What is the maximum revenue? R = S[ (Simplify your answer. Type an integer or a decimal.) (e) How many units are sold at this price? x =] (Simplify your answer. Type an integer or a decimal.) (f) Graph R on your paper. (g) What price should the company charge to earn at least $5,400 in revenue? The company should a price between a minimum of $ | and a maximum of $. (Simplify your answers. Type integers or decimals.)The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation x = - 8p + 400. Answer parts (a) through (9). (a) Find a model that expresses the revenue R as a function of p. (Remember, R = xp.) R(p) = (Simplify your answer. Use integers or decimals for any numbers in the expression.) (b) What is the domain of R? Assume that R is nonnegative. O A. The domain is {pl sps } (Simplify your answers. Type integers or decimals.) O B. The domain is the set of all real numbers. (c) What price p maximizes revenue? p = $ (Simplify your answer. Type an integer or a decimal.) (d) What is the maximum revenue? R = $ (Simplify your answer. Type an integer or a decimal.) (e) How many units are sold at this price? (Simplify your answer. Type an integer or a decimal.) (f) Graph R on your paper (9) What price should the company charge to earn at least $3648 in revenue? The company should charge a price between a minimum of $ and a maximum of $ (Simplify your answers. Type integers or decimals.)Diana has available 320 yards of fencing and wishes to enclose a rectangular area. (a) Express the area A of the rectangle as a function of the width W of the rectangle. (b) For what value of W is the area largest? (c) What is the maximum area? (a) A(W) =Farmer Ed has 9,000 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, what is the largest area that can be enclosed? 9.000 - 2x The largest area that can be enclosed is square meters.Use the graph of the quadratic function f to determine the solution. (a) Solve f(x) > 0. 107 Ay (b) Solve f(x) =0. 43.0) X (a) The solution to f(x) > 0 is (Type your answer in interval notation.)
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