3. Solve the following problem by setting up a linear system (remember to describe yourvariables) and then solving the system using matrices by hand or with a calculator.Remember to document the work and then interpret the results.A football team's point score is made up of some touchdowns worth 6 points each, somefield goals worth 3 points each, and some extra points worth 1 point each.Here's what you can remember about how a team earned its score of 50 points:There was an extra point following all but one of the touchdowns. Therefore the numberof extra points was one less than the number of touchdowns.There were twice as many touchdowns as there were field goals.Fully describe how the team earned its points.

T=touchdown 6 pointsF=Field goals 3 pointsE= Extra points 1…

Answered: ** Solve the following problem by…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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On Monday, Sarah picked up lunches for her friends and spent $17.30 on 3 tofu banh mi and 2 bubble teas. On Friday she spent $26.75 on 5 tofu banh mi and 3 bubble teas. Set up a system of two linear equations to represent this situation, then write down the associated augmented matrix for this system. Do not solve this system.
Illustrate the general system of n first-order linear equations?
A small software corporation borrowed $315,000 to expand its software line. The corporation borrowed some of the money at 3%, some at 4%, and some at 5%. Use a system of equations to determine how much was borrowed at each rate when the annual interest was $13,500 and the amount borrowed at 4% was 22/12/2012 times the amount borrowed at 3%. Solve the system using matrices. amount borrowed at 3% $ amount borrowed at 4% $ amount borrowed at 5% $
4. 9 An ice cream shop sells small and large sundaes. One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270. Sales tax is included in all prices. If x is the cost of a small sundae and y is the cost of a large sundae, write a system of equations to represent this situation. Peyton thinks that small sundaes cost $2.75 and large sundaes cost $6.75. Is Peyton correct? Justify your answer. Using your equations, determine algebraically the cost of one small sundae and the cost of one large sundae.
2 A carnival sold tickets for $1.50 for adults and $1.00 for students. There were 54 tickets sold for a total of $70.50. Write a system of equations to represent the number of adult tickets, x, and the number of student tickets, y. Find the solution and explain what it means.
4 In the record books of Angorra, the following data was found: x - 2y = 6 Equation 1 -x + 4y = 6 .. Equation 2 Choose the most efficient approaches to solve the system given above. Add the equations. Multiply equation 1 by 2 and subtract the equations. Solve equation 1 for x and substitute the result in equation 2. Substitute -x + 4y for 6 in equation 1.
Consider the following system of linear equations. :- 7. 2 4 3 1. 6. 3 9/4
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A Sillall software corporation borrowed $115,000 to expand its software line. The corporation borrowed some of the money at 3%, some at 4%, and some at 5%. Use a system of equations to determine how much was borrowed at each rate when the annual interest was $5,300 and the amount borrowed at 4% was times the amount borrowed at 3%. Solve the system using matrices. amount borrowed at 3% amount borrowed at 4% $ amount borrowed at 5% Need Help? Master It Read It Submit Answer
A small software corporation borrowed $292,500 to expand its software line. Some of the money was borrowed at 9%, some at 10%, and some at 12%. Use a system of equations to determine how much was borrowed at each rate if the annual interest was $29,900 and the amount borrowed at 10% was 22 times the amount borrowed at 9%. Solve the system using matrices. Step 1 Let the amount borrowed at 9% be x, the amount borrowed at 10% be y, and the amount borrowed at 12% be z. The total amount borrowed was $292,500. The total annual interest was $29,900. The amount borrowed at 10% was 2- times the amount borrowed at 9%. Write a set of equations using the information given. Convert the percentage to decimal fraction. x + y + z = 292,500 .09 x +.10 y + |.12 V z = 29,900 X x - y = 0 Write the associated augmented matrix for the given system of equations. Recall that since there are three equations in the system, the matrix will have three rows. Use the coefficients of x, y and z as entries of the…

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