The cost C (in millions of pesos) of removing x percent of the pollutants emitted from the smokestack of a factory can be modeled by 2x 100 -x a. What is the implied domain of C? Explain your reasoning? b. Use a graphing utility to graph the cost function. Is the function continuous on its domain? Explain your reasoning. c. Find the cost of removing 75% of the pollutants from the smokestack.

Q: The dollar cost of producing x bagels is given by the function C(x) = 300 + 0.25x −…

A:

Q: The cost of renting tuxes for the Choral Society's formal is $21 down, plus $83 per tux. Express the…

A: Sol:- According to the given data :- C(x) = 21+83x (a) C(2) = 21+83*2 = $187 (b) Same as variable…

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = (6 −…

A:

Q: The total cost, y, for Leah and x friends to go to an amusement park can be modeled by a linear…

A:

Q: 2. What is the x- and y-intercepts of the function y = -2x + 7?. Is the function increasing or…

A: Explanation of the answer is as follows

Q: The revenue from the sale of a product is given by the function R= 324x-x. Selling how many units…

A:

Q: A cable TV company has 4,800 customers paying $130 each month. Suppose each $1 reduction in price…

A: Let say, x  =reduction in price (dollars)C(x) =Number of cutomer as a function of reduction in…

Q: What is the domain? What is the range? What is the x-intercept if any? What is the y-intercept if…

A: The given function is fx=-2x-1       x<-32x-3          x≥-3. Find the coordiantes of the…

Q: n 2011, major league baseball singed a labor agreement with the players in which any team whose…

A: Given:The linear function is

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A: You must have idea about standard form of parabola in order to understand the problem.

Q: The total revenue (TR in $) for a textbook on mathematical economics is given by the equation   TR…

A:

Q: how do you find the coordinates to plot on a graph for the functions: C(x)= 420+2.10(x) R(x)=…

A: C(x)= 420+2.10(x) This can also be written as y = 420 + 2.1x. To find the coordinates, start by…

Q: Can the graph of a one-to-one function intersect a horizontal line more thanonce? Explain.

A: A one-to-one function f(x) is defined as, Thus, we can infer from the above definition of a…

Q: Explain how you would graph the function f (x) = -(1/3)x.

A: We have to draw the graph of exponential function: fx=-13x We know the graph of fx=13x,

Q: The dollar cost of producing x bagels is given by the function C(x) = 300 + 0.25x - 0.5(x/1000) 3 .…

A: To determine the cost of producing 2000 bagels, substitute x=2000 in function…

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

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A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please…

Q: Determine where the function is (a) increasing, (b) decreasing, and (c) where the relative extrema…

A: Relative extrema occurs at critical points of the function(first derivative is 0).

Q: 4. Is the function below increasing or decreasing? * F(x) = 45

A: Topic = Functions

Q: Describe the x-values at which the function is differentiable. x2 y = x² - 4

A: Given: y=x2x2-4, To find: The value of x at which the function is differentiable.

Q: Explain how the graph of the function compares to the graph of y = f (x) .

A: y=-12f(x)

Q: For a basic subscription, a cable television provider charges an activation fee of $60, plus $125…

A: Given: Activation fee = $60 Charges per month = $125

Q: David has 400 yards of fencing and wishes to enclose a rectangular area. (a) Express the area A of…

A: To find the area

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A: Given functions are,

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

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

Q: How can you tell from the equation g(x)=8(1/2)^x that the graph of the function decreases

A: Given function is  g(x)=8(1/2)x

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the…

A:

Q: The path of a ball is modeled by the function f(x)=-1/20 x^2+3x+5, where f(x) is the height (in…

A: The path of a ball is modeled by the function f(x)=-1/20 x^2+3x+5, where f(x) is the height (in…

Q: The daily closing price of a share of Slope Dude stock for one week can be modeled bu p(x) - x3 -9x2…

A:

Q: A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and…

A: Let x be the number of stalks she plants and y be the amount of beans, each plant yields. Consider…

Q: During a month-long advertising campaign, the total sales S of a magazine is modeled by the function…

A: Given: Sales function , S(x) = 5x2 + 90x +10000

Q: The cost of renting tuxes for the Choral Society's formal is $20 down, plus $82 per tux. Express the…

A:

Q: The cost of renting tuxes for the Choral Society's formal is $24 down, plus $85 per tux. Express the…

A: As per company guidelines we can solve first three parts . I hope that the given solution will help…

Q: Explain how you test if the graph of y = f () is ncreasing or decreasing.

A:

Q: Investigate the behavior of the function as x grows large by making a table of function values and…

A: Given function is fx=2x+14x−6 We have to find the end behavior of fx=2x+14x−6 Now,…

Q: 2. Is this a graph of a function? Explain your y reasoning. (abr 6. 4

A: Topic:- function

Q: Not sure how to do this.

A: From the given graph, it is observed that graph takes value 4 as the value of x takes 3.

Q: A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy…

A: Given query to find the number of machine to be made to minimize the cost.

Q: how can you use a graph to dertermine that a relationship is not a function?]

A: Given that the graph to determine that the relationship is not function.

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = x√(9 −…

A: The function is given as x9−x In order to find the inflection point and concavity, second derivative…

Q: The cost C, in dollars, of a one-day car rental is modeled by the function C(x) = 0.35x + 45, where…

A: C(x) = 0.35x + 45

Q: The dollar cost of producing x bagels is given by the function C(x) = 300 + 0.25x – 0.5(x/1000)³.…

A:

Q: The cost of renting tuxes for the Choral Society's formal is $25 down, plus $89 per tux. Express the…

A: Since you have asked questions with multiple subparts, as per our company guidelines, we will solve…

Q: Dana is filling a 1.5 gallon watering can at a rate of 0.75 gallon per minute. What is the domain of…

A: Solution of above question is written in below step.

Q: 3. Determine the points in which the function shifts from increasing to decreasing and vice- versa.…

A: Let's find.

Q: printing service charges a set-up fee of $10.50 for each order and 8 cents more for each copy. The…

A:

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

A:

Q: Suppose that the revenue from selling x radios is R(x) = 75x - dollars. Use the 10 function R' (x)…

A: Here, the given revenue function is: Rx=75x-x210

Q: Suppose a gift basket maker incurs costs for a basket according to C(x)=18x+220. If the baskets are…

A: Given  C(x)=18x+220 The baskets are sold for $43 per basket.

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.