An appliance dealer advertises a 45% discount on all his washing machines. In addition, the manufacturer offers a $90 rebate on the purchase of a washing machine. Let x represent the sticker pr of the washing machine. (a) Suppose only the 45% discount applies. Fund a function f that models the purchase price of the washer as a function of the sticker price x. (x) = (b) Suppose only the $90 rebate applies. Find a function g that models the purchase price of the washer as a function of the sticker price x. 9(x) = (c) Find /og. Find gor. What do theses functions represent? rog represents first applying the Salect- ,and then the Select- , gor represents first applying the Select , and then the Select- Which is the better deal? fog Ogof both deals are equally good

Q: Sketch a graph of the function f(x) = x* – 4x' + 5

A: Given: fx=x4-4x3+5

Q: On a certain route, an airline carries 9000 passengers per month, each paying $150. A market survey…

A: Given 9000 passengers per month @ $ 150 per monthEach $ 1 decrese in the ticket price , the…

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Given, f(x)=15000+3000x , where x is the number of siblings and f(x) is the financial aid of the…

Q: Sketch the graph of the function defined by the formula 0 , x<-1 f(x) = |1– x² ,-1<x <1 x 2 1

A: Given:     To determine: the graph of f(x)

Q: A cell phone plan charges $48.25 per month plus $14.06 in taxes, plus $0.20 per minute for calls…

A:

Q: Sketch the graph of the function f(x) = 1 - 2(x - 3)2.

A: Sketch the graph of the function f(x) = 1 - 2(x - 3)2. the function can be rewritten as…

Q: Sketch the graph of the function by first making a table of values.

A:

Q: Sketch a graph of the function by first making a table of values.

A: Given: fx=x-2. Here,  x-2≥0      x≥2 Therefore, the domain of fx is x≥2 and range of fx is R+  For…

Q: the graph of a function of the form f (x) = ax2 + bx + c, where a  0?

A: The function of the form f(x)=ax2+bx+c,a≠0  is a quadratic equation of first degree. The terms a, b…

Q: An appliance dealer advertises a 5% discount on all his washing machines. In addition, the…

A: This question can be solved by applying the concept of composition of function.

Q: Sketch the graph of the function given. (a) f(x) = x3     (b) g(x) = |x3|

A: Given: a fx=x3b gx=x3

Q: Sketch a graph of the function by first making a table of values. H(x) = |x + 1|

A: Hx=x+1 When x=0, H0=0+1=1 When x=1, H1=1+1=2 When x=2, H2=2+1=3 When x=-1, H-1=-1+1=0 When x=-2,…

Q: A cell phone plan charges $49.95 per month plus $14.02 in taxes, plus $0.40 per minute for calls…

A:

Q: Find the slope of the graph of the function at the given point.

A: Given function is  To find the slope of the above function at (1,4)

Q: he monthly cost for household water is computed based on the amount of water used in thousand…

A: Given that: Monthly service fee = $20Charges upto 10 kgals=$1.25/kgalCharges above 10 kgals=$2.75…

Q: Sketch the graph of the function given. (a) f(x) = 4x - x2     (b) g(x) = |4x - x2 |

A: Given: f(x)=4x-x2 g(x)=|4x-x2|

Q: On a certain route, an airline carries 7000 passengers per month, each paying $150. A market survey…

A:

Q: Social psychologists have found that as the discrepancy between the views of a speaker and those of…

A:

Q: Select the graph of the function. f(x)=

A: Given:

Q: Draw the graph of the function, f(x)=e^x

A: Givenf(x)=ex

Q: Find the slope of the graph of the function at the given point.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Which is always a characteristic of the graph of a linear function?

A: Explanation of the solution as follows:

Q: A major car company analyzes its revenue, R(x), and costs C(x), in millions of dollars over a…

A:

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Given,f(x)=10000+5000x Where x is the number of siblings and f(x) is the financial aid of the…

Q: If the slope m of the graph of a linear function is_________ ,the function is increasing over its…

A: Given: If the slope m of the graph of a linear function is_________ , the function is increasing…

Q: On a certain route, an airline carries 7000 passengers per month, each paying $90. A market survey…

A: Given 7000 passengers per month paying $90. Each $1 decrease in the ticket price. The airline will…

Q: 2) f(x)= 2x x2+1

A: Sol:- Extreme Points of 2xx2+1First Derivative Test definitionSuppose that x=c is a critical point…

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x² – 4,…

A:

Q: The construction industry was one of the hardest-hit by the recession of 2008, but housing starts…

A: NOTE: Refresh your page if you can't see any equations. . here x= number of years after 2002 so…

Q: Sketch the graph of the function defined by the formula 0, x<-1 f(x) = /1- x² ,-1< x < 1 x 2 1

A: Given function, f(x)=         0  ,           x≤-11-x2 ,      -1&lt;x&lt;1        x  ,           x≥1

Q: A rectangular piece of cardboard is 4 times as long as it is wide. shorter side is y inches and an…

A:

Q: Sketch the graph of the function.

A: the given function is: hx=5x-2 we have to sketch the graph of the given function.

Q: Suppose that a company has just purchased a new computer for $3600. The company chooses to…

A: A company has just purchased a new computer for 3600.the company chooses to depreciate using the…

Q: A cell phone plan charges $49.95 per month plus $14.02 in taxes, plus $0.40 per minute for calls…

A: Given that a cell phone charges $49.95 per month +$14.02 taxes and $0.40 per minutes for calls…

Q: sketch a graph of the function f(x)=2|x-4|-2

A: We can sketch the graph of the function by taking necessary points as below.

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2,…

A: To determine the points on the graph of the function that are closest to the given point.

Q: A cell phone plan charges $49.55 per month plus $14.02 in taxes, plus $0.60 per minute for calls…

A: Need to write down the piecewise function.

Q: Sketch the graph of a function f for which f(0) = 0, f'(0) = 3, f'(1) = 0, and f'(2) = -1. y 3 4

A: The positive regions of a function are those intervals where the function is above the x-axis. It is…

Q: A cell phone plan charges $49.95 per month plus $14.02 in taxes, plus $0.40 per minute for calls…

A:

Q: b) Write a piecewise-defined function for the income of an author (f(x)) who earns $10 for each book…

A:

Q: he hypotenuse of an isoscles right triangle is to be made into a circle C. Express the area A of C…

A: Given that: An isosceles right triangle, whose hypotenus was made into a circle C.Length of the legs…

Q: If the slope m of the graph of a linear function is __________, the function is increasing over its…

A: Known fact: If the graph of function is increasing over a, b then f'x&gt;0 for all x in a, b. Slope…

Q: Sketch the graph of the following piecewise function: -4 3

A: Given,

Q: sketch the graph of the function y = (1/4) x

A: Given:y=14x

Q: A function wherein all terms are of the same degree in terms of x and y is known as ________

A:

Q: 7. A worker gets $20/hour for a normal work week of 40 hours and time-and-a-half for overtime.…

A:

Q: minute monthly limit. Write a piecewise-defined function to model the monthly cost Cx (in $) as a…

A: Given: A cell phone plan charges $48.35 per month plus $14.06 in taxes, plus $0.20 per minute for…

Q: If a cannonball is fired with a muzzle velocity of 320 feet per second, it will follow the path of…

A:

Q: Write a piecewise-defined function to model the monthly cost C(x) (in $) as a function of the number…

A: The Price wise function  is given below.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.