Determine whether the statement given below makes sense or does not make sense, and explain your reasoning : "The function f(x) = 30x + 0.08 is a reasonable model for the monthly cost, f, in dollars, for a text message plan in terms of the number of monthly text messages, x."

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: In the equation x= y3-10 is y a function of x?   I have no idea what this is asking me?

A: Rewrite the given 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: Is f (x) = (3x - 2) - (2x + 1) a linear function? Explain your answer.

A: To check: Whether the given function is linear or not. Given information: The function is…

Q: What is the value of ∇ ⋅ (∇ x F)?

A: If F= <f , g , h > then And

Q: How do you find the absolute maxima and minima for a function of two variables?

A: So In this we have to follow the basics to calculate extreme values , I'm providing you the…

Q: The area of a rectangular floor is 1000 square feet. Express the perimeter of the floor, P, as a…

A: Let x be the width and y be the length of the rectangular floor. Given that the area of 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: What is the constant function?

A:

Q: The function C(x)=300x+6,000 represents the cost to produce x number of items. How many items should…

A:

Q: what is the domain of the function f(×)=(×+1) ?

A: If y=f(x), then the variable x is called the input of the function, and y is called the output of…

Q: The revenue from the sale of a product is given by the function R= 289x -x. Selling how many units…

A: To find the number of products to be sold for positive revenue

Q: Write the equation for the function graphed below. f (x) = %3D AT

A:

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

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

Q: It costs $3 per hour to park in a parking lot, with a maximum cost of $12. Explain why the amount of…

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

Q: How many points of inflection does the function (x)=x°+ x have?

A:

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

A: Topic = Functions

Q: A pre-paid cell phone company charges $11.55 as a monthly access fee and $0.12 per minute of calling…

A:

Q: I’m working with the linear function f(x) = 3x + 5 and I do not need to find f-1 in order to…

A: f(x)=3x+5 and if we will calculate fof-1 then we must have calculate f-1 at first. Let y=f(x) then…

Q: The amount of foreign earnings​ (in trillions of​ dollars) kept overseas can be approximated by the…

A: we have been given the function for the number of foreign earnings kept overseas  f(x)=0.232(1.18)x…

Q: Which equation matches the graph of the piecewise function f(x) below?

A: Given,

Q: Write the function defined by y=f(x),subject to the condition of the value of f(x) is 16 times the…

A: The function defined by y=fx , subject , to the condition of thevalue of fx is 16 times the value…

Q: Starting with the graph of f(x) = 4", write the formula for the function that results from

A: Given data:     The given function is: f(x)=4x.     (a) To shift the curve three units upward, add 3…

Q: The rate at which photosynthesis takes place for a species of phytoplankton is modeled by the 841…

A:

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

A:

Q: Differentiate the following function using the 4-step method, indicate each step and explain it,…

A:

Q: For Exercise, graph the function. –4x – 3 for x < 0 f(x) = for x 2 0

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 total attendance at a contemporary art museum is modeled by the function f(x) = 18,933(1.047)'.…

A: The total attendance of the contemporary art museum is modeled by the function ; f(x)=18,933(1.047)x…

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

A:

Q: Differentiate the function.

A: Given R(a)=3a+12

Q: An earthquake causes a piece of glass to fall off a building from a height of 2,704 ft. If the…

A:

Q: Is y=2x+1 a function or not?

A:

Q: How can you tell if a function is quadratic?

A:

Q: What is the effect on the graph of f(x)= x when g(x)= + 4?

A: when you add +4 in function  e.g f(x)=x g(x)=f(x+4)=x+4

Q: Differentiate the function. 35 G(x) = Vx° - 2x G'(x) =

A: Answer

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: downtown parking lot charges 5 per hour for the first 2 hours, then 2.50 per hour after that. Which…

A: A downtown parking lot charges 5 per hour for the first 2 hours, then 2.50 per hour after that. To…

Q: A phone is accidentally dropped from a helicopter at a height of 3,600 ft. If the equation for…

A:

Q: A paper airplane was thrown from the top of a 9 meter tall house and falls at a rate of 3 meters…

A: Given  The height of the paper airplane above the ground can be found using  the function  y  =…

Q: A 12-inch tall sunflower is planted in a garden and the height of the sunflower increases by 8% per…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks A 12-inch tall…

Q: What does it mean to find the zero of a function?

A: Given :  Zero of a function

Q: A new manufacturer of automobiles in Canada has determined that the q demanded of their brand new…

A:

Q: The revenue from the sale of a product is given by the function R = 5000x-0.1x³ dollars. Use…

A:

Q: The total expenditures on benefits for U.S. veterans (in billions of dollars) can be approximated by…

A:

Q: How does the function f(x)=1/2(x+2)2-3 compare to the parent function? Is it stretched, compressed,…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function: y=f(x)±n.…

Q: The length of a rectangle is 3 inches more than the width. Which of the following represents 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: A camera is accidentally dropped from a helicopter at a height of 4,096 ft. If the equation for…

A: Given: To Find:  How many seconds will it take for the camera to hit the ground?

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.