Marcus is on vacation and needs to arrange transportation. A rental car costs 60 dollars per day plus a one- time cost of 10 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days. C(x)- If Marcus has budgeted 430 dollars for the rental, how many days can he afford? days

Q: The function f(x) = -x2 + 46x - 360 models the daily profit, f(x), in hundreds of dollars, for a…

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get Now

Q: The total revenue for Dante's Villas is given as the function R(x)=500x−0.5x2R(x)=500x−0.5x2, where…

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Q: The function F(x) = 0.08x represents the sales tax owed on a purchase with a selling price of x…

A: Suppose we have two functions f and g as ;  f:A→B and g:C→A then composition function g∘f is defined…

Q: 2 The path of the fireworks shot off in Milwaukee on 4" of July can be modeled by the function: h(t)…

A: The modeled function of the height of the firework is ht=-16t2+100t+3

Q: Find the domain of the function f(x) = √(25 − x2).

A: The given function is fx=25-x2

Q: The total revenue for Dante's Villas is given as the function R(x)=500x−0.5x2 , where x is the…

A: Given Rx=500x - 0.5x2

Q: Determine where the function is concave upward and where it is concave downward. g(x) = -x² + 9x + 3

A: if second derivative is positive in any interval then f(x) has cancave upward  if second derivative…

Q: Q4: Find The Range of the Function. -1<x<3

A:

Q: Given the revenue function for emergency kits, R(x)= x(30,000 – 75x) that the company can make by…

A: The given revenue function is: R(x)=x(30000-75x)        =-75x2+30000x To maximize the revenue, let…

Q: Find the point of diminishing returns (x.y) for the function R(x), where R(x) represents revenue (in…

A:

Q: Find the domain of the function. h(x) = 2x/  (x2 - 4)

A: we have to find the domain of h(x)=2x(x2-4)

Q: Lavonna Waleed owns a factory that manufactures I-pad. Her weekly profit (in thousands of dollars)…

A: The weekly profit function is given by P(x) = -2x2 + 60x – 120, where x represents the number of…

Q: The path of Morgan's dive off of a 3 foot diving board is shown by the function: h(x) = – a² + 2x +…

A:

Q: Find the domain of the function f(x) = √(x + 2)

A: The domain of function f(x) is the set of all values of x where the function value is defined.

Q: For Exercise, graph the function. (- 2x for x <0 Vĩ h(x) for x 2 0

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Q: Graph the function : f(x) 4* I|

A:

Q: Suppose that the function f(x) = 2x + 12 represents the cost to rent x movies a month from an…

A:

Q: A company determines that the number of units of a certain product that will be sold is given by the…

A: Find your answer below

Q: Graph the function f(x) = x after it has been vertically stretched by a factor of 2, and vertically…

A: Please refer the attached image for complete solution.

Q: Your cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan.  The total…

A: We are given the total cost can then be defined by the function C(x)=800+60x and the average monthly…

Q: Determine the point on the curve for the function f(x) = (−5x + 7)(2x + 3) where the slope is -1/2

A:

Q: Is f(x)=x2 - 11 is an example of a non-linear one to one function? Find its Domain and Range if it…

A: f(x) = x2  - 11 It is quadratic function.

Q: The cost and revenue functions for producing and selling x units of a toaster oven are C(x) = 40x +…

A: Given, x units of toaster oven are produced and sold. the cost function is C(x)=40x+350,000 Revenue…

Q: Is f(x)=4x-3 a one-to-one function?

A: That's easy. Have a good day!!!

Q: Find the domain and sketch the graph of the function. f(x) =2t+t2

A: Given: fx=2x+x2 we know that given function is a quadratic function whose constant term is zero we…

Q: A shipping crate has a square base with sides of length x feet, and it is half as tall as it is…

A: Square base, with sides of length x feet, and it is half as tall as its wide.

Q: The total revenue for Fred's Estates LLC is given as the function R(x) = 100x - 0.4x2. where x is…

A:

Q: The function C(x)=5x+900 represents the cost to produce x, number of items. Find the average cost…

A:

Q: The function S(x)= -x - 3x + 72x + 900, x 22, is an approximation to the number of salmon swimming…

A:

Q: Use the graph of y = 3x to graph the function. f (x) = 3x + 5 + 2

A: y=3x

Q: Graph the function f(x) = x after it has been vertically stretched by a factor of 4, and vertically…

A:

Q: The monthly profit, in dollars, of a company that sells a t-shirts is given by the function P(x) = 1…

A: The given question as belonging to the calculus in which application of derivative so we have to…

Q: Find the value of f(14) from the function.

A:

Q: 24) Elissa wants to set up a rectangular dog run in her backvard, She has 36 teet of tencing to work…

A:

Q: f(x) = (4x2 – 5x)e"

A:

Q: Find the domain of the function. f(x) = - 5x + 4

A: f(x)=-5x+4

Q: The cost C, in dollars, of renting a moving truck for a day is given by the function C(x) = 0.20x +…

A: As per request Solve d, e and f part only

Q: The cost C, in dollars, of renting a moving truck for a day is given by the function C(x) = 0.20x +…

A:

Q: The function  models the daily profit, f(x)=-x2 +46x-360, in hundreds of dollars, for a company that…

A: f(x) = -x 2 + 46 x - 360 f(x) represents the daily profit in hundred so f(x) = 88

Q: Find the slope of the graph of the function f (x) 4(5x + 6)² at x = 3.

A:

Q: The length of a rectangle is 3 inches more than the width. Which of the following represents the…

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Q: find the total cost C(x)C(x) in dollars of renting a van for a day and driving xx miles?

A:

Q: Your cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan.  The total…

A: We are given with the total cost for the iPhone and we are also given with the average monthly cost…

Q: x2 – 4 f (x) = c2 – 4x

A:

Q: Match the function with its graph. f(x) = 4(x – 1)? II 4- -5- -5 -6 -3 4 -3 2 -1

A:

Q: The revenue from the sale of a product is given by the function R= 441x-x°. Selling how many units…

A:

Q: Is the function h(x)=-|x-4| +3 a one -one function?

A: This is an absolute value function , so for two values of x we will find same value of y.

Q: The Scooter Company manufactures and sells electric scooters. Each scooter cost $150 to produce, and…

A: