Given the quadratic function y = x2 + 8x + c , where c is some real number constant, answer the following questions. (a) If c = 4 , find the x-intercepts of the function in simplest radical form. (b) Use the quadratic formula to explain why the function will fail to have any x-intercepts if c = 20 .

Q: B1(b): Solve the initial value problem : f' (x) = x12 – 4x4 + 12x + 13 and f(0) = 2.

A: The given differential equation is f'x=x12-4x4+12x+13 and the initial condition is f0=2. Solve the…

Q: How can you relate the following situations into quadratic functions? a. The number of kilograms of…

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Q: 5. The height of a football thrown in the air is given by the quadratic function, h(t) = -3(t - 3.…

A: Given: The height of a football thrown in the air is given by the quadratic function,…

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

A: We use second derivative test to find out maximum revenue

Q: if am given a profit and demand function say, profit function p=0.3q2-0.5q-48 demand function…

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Q: Q1 Solve the following questions. a) Sketch the graph of quadratic function, and indicate vertex,…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The quadratic equation for the cost in dollars of producing automobile tires is given below where x…

A: Given:

Q: for the function f(x)=x2+2x-3  solve f(x) is less than or equal to 0 to find the solution

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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: Given the quadratic function g(x)=x² -10.x+c,where c is some real number constant, answer the…

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Q: For the quadratic function, x(x-5) – 3 = -2x – 5, x = 1, 2. O True O False

A: x(x-5)-3=-2x-5x2-5x-3=-2x-5x2-5x+2x-3+5=0x2-3x+2=0

Q: A fast-food restaurant has a cost of production C(x)=12x+140 and a revenue function R(x)=5x. When…

A: To find the time when company starts to earn profit. Company will earn profit when revenue is more…

Q: A great deal of the history of mathematics can be credited to ancient Egyptians. For example,…

A: Given, the relationship between theamount of revenue and the price of a ticket, by the quadratic…

Q: The profit function,in dollars, for a product is given by  Π(x) = −x^3 + 76x^2 − 380x − 2800, where…

A: (a) Consider the provided profit function,

Q: In Problem,find the intercepts of each quadratic function

A: Given,f(x)=3x2-2x-8 We know,x-intercepts are those points on the graph of an equation where it…

Q: A cell phone company estimates that by charging x dollars each for a certain cell phone, they can…

A: This can be solved by using the concept of maxima in differentiation. Given Revenue function is:…

Q: (a) Write down the piecewise form for the function |2x – 3|. (b) Hence or otherwise find all…

A: we have to write the given function in piecewise

Q: billions of​ dollars) for the years 2010 to 2015 can be approximated by the following quadratic​…

A:

Q: Given the quadratic function g(x) = x² – 2x – 2 and its graph, answer the following problem parts.…

A: g(x) = x2 - 2x - 2   Interval = ?  where g(x) > 0  => g(x) > 0 => x2 - 2x - 2 > 0

Q: Use the graph of the quadratic function f to write its formula as f(x) = a(x-h) +k. 10- (Simplify…

A: From the graph we can see that the vertex of the parabola is  h, k=-4, 1⇒h=-4 & k=1 Therefore…

Q: 1. Find the zeros of the following quadratic equation by factoring. f(x) = 9x2 ‒ 36x + 36 Then…

A: The given function is  f(x) = 9x^2 ‒ 36x + 36

Q: Solve the quadratic for x: f (x) = x² – 7x – 18

A: The formula to find the solutions of the quadratic equation helps to find the required solutions.…

Q: The relationship between marketing expenditures (x) and sales (y) is given by the following formula,…

A: Given,           y=7x-0.25x2+6

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

A:

Q: A certain quadratic function has the factors (2x−5) and (3x+4). What are the zeros of the function?

A: To find the zeros of the function we have to set the factors equal to 0, and then solve for x. Given…

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 fast-food restaurant has a cost of production C (x) = 12x + 95 and a revenue function R(x) = 7x.…

A: Given cost function is Cx=12x+95 and a revenue function is Rx=7x. The profit function is given by…

Q: For a particular quadratic function of the form f (x) = ax² + bx + c,ƒ(-3) = –13 and f (2) = 7. if a…

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Q: the graph of the quadratic function f(x) = x2 + dx + 5d has its vertex on the x-axis, what are the…

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Q: A fast-food restaurant has a cost of production C (x) = 12x + 88 and a revenue function R(x) = 8x.…

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Q: A fast-food restaurant has a cost of production C (x) = 13x + 126 and a revenue function R(x) = 6x.…

A: Given: C(x)=13x+126 R(x)=6x The company will start to turn a profit when the revenue function will…

Q: A fast-food restaurant has a cost of production C(x)=13x+90 and a revenue function R(x)=8x. When…

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Q: The given figure shows that when a football is kicked, the nearest defensive player is 6 feet from…

A: (Note: we are entitled to solve only one question at a time and upto 3 subparts only)  Given: The…

Q: An equation for the stretched y = x2 -1 vertically by a factor of 3.

A: If we have a function f(x) vertically stretched by a factor of 3 function is g(x): g(x) = 3f(x)

Q: A fast-food restaurant has a cost of production C(x) = 12x + 126 and a revenue function R(x) = 5x.…

A: The profit function is the difference of the Revenue function and the Cost function. The company…

Q: Find f by solving the initial value problem. f '(x) = 9x2 − 12x, f(2) = 6

A: Given   f1(x) = 9x2-12c  f(2) = 6

Q: he revenue for a restaurant chain​ (in billions of​ dollars) for the years 2010 to 2015 can be…

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: Show that the following equation 2x5 – x + 4 = 8* has a solution on the interval (0, 1).

A: we have to show the following equation has a solution on (0,1) . For this we can use intermediate…

Q: A fast-food restaurant has a cost of production C(x) = 14x + 160 and a revenue function R(x) = 6x.…

A: Sol Cx=14x+160,R(x)=6xHence , Profit Function P(x) = R(x)-C(x)

Q: A fast-food restaurant has a cost of production C(x) = 14x + 108 and a revenue function R(x) = 82.…

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Q: A fast-food restaurant has a cost of production C(x)=11x+95 and a revenue function R(x)=6x. When…

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Q: Find the number of units X that produces a maximum revenue R in the given equation. R= 36x2/3 -2x

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Q: for the quadratic function f(x)=x^2-2x-15 a) find the y-intercepts

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

A: Explanation of the answer is as follows

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

A:

Q: 5. Algebraically find the x-intercepts of the quadratic function whose equation is y=x² – 4x – 6.…

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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: Use the graph of the quadratic function f to write its formula as f(x)= a(x -h) + k. T(X) 6- 4 6.…

A: Use the graph of the quadratic function to write its formula as fx=ax-h2+k

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

A: