A department store is advertising a discount of 20% off any item of clothing. You also...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A department store is advertising a discount of 20% off any item of clothing. You also have a coupon that gives you $10 off any one item priced over $25. You are considering purchasing a pair of pants priced at $40. a) Write a function f(x) that models discounting an item by 20%. b) Write a function g(x) that models applying the $10 off coupon (assuming x > 25.) c) Use a composition of your two functions from (a) and (b) to model the cost of an item of clothing priced over $25 assuming that the department store applies the discount first and then the coupon. d) How much would the pants cost you if the store applies the discount first and then the coupon? e) Use a composition of your two functions from (a) and (b) to model the cost of an item of clothing priced over $25 assuming that the department store applies the coupon first and then the discount. f) How much would the pants cost you if the store applies the coupon first and then the discount? |3) Given that f(x) = x has the graph below, draw a sketch of the following. a) h(x)= 3x b) g(x)=x +2 c) k(x)= (x-1)-3 1) Given the function f(x) = x + 5x - 3,express the function in the Standard Form of a quadratic function: f(x) = a(x - h) + k, where (h, k) is the coordinate of the vertex. a) The Standard Form is f(x) = b) The Vertex is located at ( ) What is the Axis of Symmetry? c) Find the x-intercepts. Round each to the nearest tenths place value. x-intercepts are: ( d) Find the y-intercept. e) Graph the function using the information found above. Coordinate is ( ) and ( ) A department store is advertising a discount of 20% off any item of clothing. You also have a coupon that gives you $10 off any one item priced over $25. You are considering purchasing a pair of pants priced at $40. a) Write a function f(x) that models discounting an item by 20%. b) Write a function g(x) that models applying the $10 off coupon (assuming x > 25.) c) Use a composition of your two functions from (a) and (b) to model the cost of an item of clothing priced over $25 assuming that the department store applies the discount first and then the coupon. d) How much would the pants cost you if the store applies the discount first and then the coupon? e) Use a composition of your two functions from (a) and (b) to model the cost of an item of clothing priced over $25 assuming that the department store applies the coupon first and then the discount. f) How much would the pants cost you if the store applies the coupon first and then the discount? |3) Given that f(x) = x has the graph below, draw a sketch of the following. a) h(x)= 3x b) g(x)=x +2 c) k(x)= (x-1)-3 1) Given the function f(x) = x + 5x - 3,express the function in the Standard Form of a quadratic function: f(x) = a(x - h) + k, where (h, k) is the coordinate of the vertex. a) The Standard Form is f(x) = b) The Vertex is located at ( ) What is the Axis of Symmetry? c) Find the x-intercepts. Round each to the nearest tenths place value. x-intercepts are: ( d) Find the y-intercept. e) Graph the function using the information found above. Coordinate is ( ) and ( )
Expert Answer:
Related Book For
Business Statistics
ISBN: 9780321925831
3rd Edition
Authors: Norean Sharpe, Richard Veaux, Paul Velleman
Posted Date:
Students also viewed these mathematics questions
-
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
-
QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...
-
In Exercises 1126, determine whether each equation defines y as a function of x. x + y = 25
-
Castle Leasing Company signs a lease agreement on January 1, 2019, to lease electronic equipment to Jan Way Company. The term of the non-cancelable lease is 2 years, and payments are required at the...
-
A steel piston ring has a mean diameter of 70 mm, a radial height h = 4.5 mm, and a thickness b = 3 mm. The ring is assembled using an expansion tool that separates the split ends a distance...
-
Calculate the PRESS statistic for the model developed from the estimation data in Problem 11.2. How well is the model likely to predict? Compare this indication of predictive performance with the...
-
Ralphs Bow Works (RBW) is planning to add a new line of bow ties that will require the acquisition of a new knitting and tying machine. The machine will cost $1,000,000. It is classified as a 7-year...
-
Discuss the 4 types of dividends.Whichof the 4 isused most often, and why?What may happen to a company's share price when dividends areannounced orpaid?Why do you think this is so?
-
At which point in the diagram is the magnetic field strength (a) The smallest and (b) The largest? Explain. D E. B. F.
-
What function(s) in Excel will calculate depreciation? explain with example.
-
Suppose Katy borrowed some amount of money for 100 weeks and Anastasia borrowed the same amount. Katy's loan used the simple interest model with an annual rate of 9.3% while Anastasia's loan used the...
-
You borrowed from the bank $500,000 with an annual interest rate of 6% and a maturity of 30 years. There is no balloon payment. Determine the monthly mortgage payment. 2. Assuming semi-annual...
-
A customer ask a bank if it would be willing to commt to making the cusomer a one year loan at an interest rate of 9% one year from now. to compensate for the costs of making the loan, the bank needs...
-
What would be the market value of the company's equity in the previous problem, in the following situation: if the firm were to obtain debt in the market, it would obtain it with a pre-tax cost of...
-
Dr. & Mrs. Vanderlay's Retirement Investment Objectives Provide $50,000 of withdrawals from the investment account each year. This amount will be in addition to the university pension and Social...
-
23. Children in elementary school are evaluated and classified as non-readers (0), beginning readers (1), grade level readers (2), or advanced readers (3). The classification is done in order to...
-
Establish identity. cos( + k) = (-1)k cos , k any integer
-
For the data in Exercise 1: a) Find the quartiles using your calculator. b) Find the quartiles using Tukeys method (page 58). c) Find the IQR using the quartiles from part b. d) Find the standard...
-
Which of the following are Actions and which are States of Nature? a) Whether Unemployment is above or below 10%. b) Whether a new product should be brought to market before or after the beginning of...
-
A company is interested in estimating the costs of lunch in their cafeteria. After surveying employees, the staff calculated that a 95% confidence interval for the mean amount of money spent for...
-
Draw a UML sequence diagram for an interrupt-driven write of a device. The diagram should include the background program, the handler, and the device.
-
Draw a UML sequence diagram of a lower-priority interrupt that happens during a higher-priority interrupt handler. The diagram should include the device, the two handlers, and the background program.
-
Draw a UML sequence diagram for copying characters from an input to an output device using interrupt-driven I/O. The diagram should include the two devices and the two I/O handlers.
Study smarter with the SolutionInn App