The profit of a company in thousands of dollars is given by the quadratic function P(x) = 3000 + 1200x-6x where x is the amount, in thousands, the company spends on advertising. Find the amount, x, that the company has to spend to maximize its profit.

Q: use quadratic functions. Suppose that the equation p(x) = -2x2 + 280x - 1000, where x represents the…

A: Use quadratic functions. Suppose that the equation p(x) = -2x2 + 280x - 1000, where x represents the…

Q: The path of a diver is modeled by f(x)= -4/9x2 + 24/9x + 9 where f(x) is the height (in feet) and x…

A: Since, we have been given the path of driver by :-f(X)=Y=-49X2+249X +9 -(i)Our aim is to find the…

Q: Use the vertex and intercepts to graph the quadratic function f (x) = -x² + 2x + 3.

A: Here I will first find the intercepting points then I will draw this graph using this intercepts and…

Q: The height, h of an object projected upward at velocity vo and an initial height ho is given as a…

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Q: An apple orchard produces a profit of $40 per tree when planted with 3200 trees. Owing to…

A: Let number of tree is x Profit peer tree is equal to 40-0.04x-3200 Hence, total profit Px is…

Q: A soft-drink vendor at a popular beach analyzes their sales records and finds that if they sell x…

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Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x)= 30x…

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Q: Is √Ax²+Bx+C still a quadratic function/equation?

A: Given Question:- Is √Ax²+Bx+C still a quadratic function/equation?

Q: The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can…

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Q: Consider the quadratic function f(x) - 22 - 4x + 5. |

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Q: The revenue of a charter bus company depends on the number of unsold seats. If the revenue R(x) is…

A: Given: The revenue of a charter bus company is,  Rx=8000+70x-x2. Here, x is the number of unsold…

Q: What is the maximum value of the quadratic function f ( x ) = − 3x^2 − 18 x − 10 ?

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Q: A retailer who sells backpacks estimates that by selling them for x dollars each, she will be able…

A:

Q: A retailer who sells backpacks estimates that, by selling them for x dollars each, he will be able…

A: Given: A retailer who sells backpacks estimates that, by selling them for x dollars each, he will be…

Q: A fast-food restaurant has a cost of production C(x)=11x+110 and a revenue function R(x)=6x. When…

A: I am going to calculate that when the company will start to run on profit just is when revenue…

Q: A fast-food restaurant has a cost of production C(x)=11x+76 and a revenue function R(x)=7x. When…

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Q: Complete the square and find the maximum value of f(x) = -x 2 + 4x + 1.

A: To complete the square and find the maximum values of the given function.

Q: The daily profit from the sale of a product is given by P = 32x − 0.2x2 − 200 dollars, where x is…

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Q: Identify the intercepts of the quadratic function from the quadratic below. f (x) = 5 (x +2) (x +…

A: The x-intercepts of a quadratic function is obtained by equating the quadratic to zero.

Q: The total amount spent by some number of people on clothing and footwear in the years​ 2000-2009 can…

A: The solution is given below :

Q: The profit function,in dollars,for a product is given by Π(x) = −x3 + 76x2 − 380x− 2800, where x is…

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Q: If the profit function for a product is P(x) = 4000x + 95x² – x³ – 208,000 dollars, selling how many…

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Q: Why does the graphy of the quadratic function f(x)=x2+4x+5 cross the y-axis but not the x-axis?

A: The graph the quadratic function crosses y axis because we can put x is equal to zero and get y…

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by  P(x)=…

A: First of all, consider the given function P (x) which shows relation between the profit of a tour…

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

A:

Q: With profits from an Apple orchard is given by P(x)=x(404−2x) dollars, where x is the number of…

A: Given :-Profit function isP(x) = x (404-2x) dollarswhere x is number of almond trees per acreWe have…

Q: If the profit function for a product is  P(x) = 3000x + 65x2 − x3 − 76,000  dollars, selling how…

A: Solve the following

Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans…

A: We have given,A soft-drink vendor sells x cans of soda pop in one dayHis profit (in dollars) is…

Q: The net profit in dollars per day for a small business owner is given by the equation f (x) = -0.1x²…

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Q: Ms. Miranda runs a cookie and cupcake business. When she sells “x” items per year, the income is…

A:

Q: The domain of a quadratic function is all real numbers and the range is y ≤ 2. How many x-intercepts…

A: We are given the range of quadratic function y less than equal to 2. It means parabola is downward…

Q: In a nutrient medium, the rate of increase in the surface area of a cell culture can be modelled by…

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Q: use quadratic functions. Suppose that the cost function for a particular item is given by the…

A: We have to use quadratic functions. The cost function for a particular item is given by the…

Q: Find the maximum or minimum value of the quadratic function. f(x) = 3x2 - 18x + 5

A: Find the maximum or minimum value of the quadratic function.       f(x)=3x2-18x+5

Q: y = 2x2 − 20x + 52,

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Q: The net profit in dollars per day for a small business owner is given by the equation f…

A: We know:

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

A: Given relation:P(x)=50x-0.25x2Where,P(x)=Profitx-number of tickets Differentiate P(x) with respect…

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

A: Given equation is :   P(x)=45*x-0.25*x2 We know , for a parabola  f(x)=a*x2+b*x+c , the coordinates…

Q: The profit of a cell phone manufacturer is found by the function y= -2x2+108x+75, where x is the…

A: Solution of question as follows

Q: The total amount spent by some number of people on clothing and footwear in the years​ 2000-2009 can…

A:

Q: A defender kicks a soccer ball away from her own goal. The path of the kicked soccer ball can be…

A: The path of soccer ball is given as , hx=-0.06x2+3.168x-35.34 where x is the horizontal distance…

Q: The owner of a video store has determined that the profits P of the store are approximately modeled…

A: Profit function, P(x) = -x2 + 30x + 76

Q: The path traveled by a golf ball hit with a 9-iron can be modeled with the quadratic function, h =-…

A: Given that a path traveled by a golf ball hit with a 9-iron can be modeled with the quadratic…

Q: The profit function for a company that produces shoes is given by y = - 2x ^ 2 + 12x +23, where "y"…

A:

Q: A fast-food restaurant has a cost of production C(x)=13x+110 and a revenue function R(x)=8x. When…

A: GivenC(x)=13x+110R(x)=8x

Q: Determine the domain and range of the quadratic function. f (x) = –2(x + 4)² – 6 -

A:

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

A: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

Q: The weekly revenue from the sale of x units of a product is given by R(x)=126x-7x^2 thousand…

A: The weekly revenue from the sale of x units of a product is given by R(x)=126x-7x^2 thousand…

Q: A fast-food restaurant has a cost of production C(x)=11x+90 and a revenue function R(x)=6x. When…

A: Given:       Cx=11x+90       Rx=6x So, the profit function is:     Px=Rx-Cx

Q: What is the maximum value of the function y = -x² + 6x – 7?

A: 3 To find the maximum value of the given function y = -x2 +6x -7