Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Textbook Question
Chapter 4.2, Problem 125E
Write a uniform motion problem similar to Example 4.15 that relates to where you live with your friends or family members. Then translate to a system of equations and solve it.
Expert Solution & Answer
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Intermediate Algebra
Ch. 4.1 - Determine whether the ordered pair is a solution...Ch. 4.1 - Determine whether the ordered pair is a solution...Ch. 4.1 - Solve the system by graphing: {x3y=3x+y=5 .Ch. 4.1 - Solve the system by graphing: {x+y=13x+2y=12 .Ch. 4.1 - Solve the system by graphing: {x+y=12x+y=10 .Ch. 4.1 - Solve the system by graphing: {2x+y=6x+y=1 .Ch. 4.1 - Solve the system by graphing: {y=14x+2x+4y=8 .Ch. 4.1 - Solve the system by graphing: {y=3x16x2y=6 .Ch. 4.1 - Solve the system by graphing: {y=3x66x+2y=12 .Ch. 4.1 - Solve the system by graphing: {y=12x42x4y=16 .
Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Solve the system by substitution: {2x+y=11x+3y=9 .Ch. 4.1 - Solve the system by substitution: {2x+y=14x+3y=3 .Ch. 4.1 - Solve the system by substitution: {x4y=43x+4y=0 .Ch. 4.1 - Solve the system by substitution: {4xy=02x3y=5 .Ch. 4.1 - Solve the system by elimination: {3x+y=52x3y=7 .Ch. 4.1 - Solve the system by elimination: {4x+y=52x2y=2 .Ch. 4.1 - Solve the system by elimination: {3x4y=95x+3y=14 .Ch. 4.1 - Solve the system by elimination: {7x+8y=43x5y=27 .Ch. 4.1 - Solve the system by elimination: {13x12y=134xy=52...Ch. 4.1 - Solve the system by elimination:...Ch. 4.1 - Solve the system by elimination: {5x3y=15y=5+53x .Ch. 4.1 - Solve the system by elimination: {x+2y=6y=12x+3 .Ch. 4.1 - For each system of linear equations decide whether...Ch. 4.1 - For each system of linear equations decide whether...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - 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Solve the system of equations {x+y=10xy=6 (a) by...Ch. 4.2 - The sum of two numbers is 10. One number is 4 less...Ch. 4.2 - The sum of two numbers is 6 . One number is 10...Ch. 4.2 - Geraldine has been offered positions by two...Ch. 4.2 - Kenneth currently sells suits for company A at a...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - The measure of one of the small angles of a right...Ch. 4.2 - The measure of one of the small angles of a right...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - 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In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - Write an application problem similar to Example...Ch. 4.2 - Write a uniform motion problem similar to Example...Ch. 4.3 - Translate to a system of equations and solve: The...Ch. 4.3 - Translate to a system of equations and solve: The...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve: Leon...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - The manufacturer of a weight training bench spends...Ch. 4.3 - The manufacturer of a weight training bench spends...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - 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The manufacturer of an energy drink spends $1.20...Ch. 4.3 - The manufacturer of a water bottle spends $5 to...Ch. 4.3 - Take a handful of two types of coins, and write a...Ch. 4.3 - In Example 4.28, we used elimination to solve the...Ch. 4.4 - Determine whether the ordered triple is a solution...Ch. 4.4 - Determine whether the ordered triple is a solution...Ch. 4.4 - Solve the system by elimination:...Ch. 4.4 - Solve the system by elimination:...Ch. 4.4 - Solve: {3x4z=12y+3z=22x+3y=6 .Ch. 4.4 - Solve: {4x3z=53y+2z=73x+4y=6 .Ch. 4.4 - Solve the system of equations:...Ch. 4.4 - Solve the system of equations:...Ch. 4.4 - Solve the system by equations:...Ch. 4.4 - Solve the system by equations:...Ch. 4.4 - The community college fine arts department sold...Ch. 4.4 - The community college soccer team sold three kinds...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the given...Ch. 4.4 - In the following exercises, solve the given...Ch. 4.4 - In the following exercises, solve the given...Ch. 4.4 - In the following exercises, solve the given...Ch. 4.4 - In your own words explain the steps to solve a...Ch. 4.4 - How can you tell when a system of three linear...Ch. 4.5 - Write each system of linear equations as an...Ch. 4.5 - Write each system of linear equations as an...Ch. 4.5 - Write the system of equations that corresponds to...Ch. 4.5 - Write the system of equations that corresponds to...Ch. 4.5 - Perform the indicated operations on the augmented...Ch. 4.5 - Perform the indicated operations on the augmented...Ch. 4.5 - Perform the needed row operation that will get the...Ch. 4.5 - Perform the needed row operation that will get the...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - Write the system of equations that that...Ch. 4.5 - Write the system of equations that that...Ch. 4.5 - Write the system of equations that that...Ch. 4.5 - Write the system of equations that that...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - 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For the determinant |210301123| , find and then...Ch. 4.6 - Evaluate the determinant |324012231| , by...Ch. 4.6 - Evaluate the determinant |322214103| , by...Ch. 4.6 - Evaluate the determinant |213034343| by expanding...Ch. 4.6 - Evaluate the determinant |213122440| by expanding...Ch. 4.6 - Solve using Cramer’s rule: {3x+y=32x+3y=6 .Ch. 4.6 - Solve using Cramer’s rule: {x+y=22x+y=4 .Ch. 4.6 - Solve the system of equations using Cramer’s Rule:...Ch. 4.6 - Solve the system of equations using Cramer’s Rule:...Ch. 4.6 - Solve the system of equations using Cramer’s rule:...Ch. 4.6 - Solve the system of equations using Cramer’s rule:...Ch. 4.6 - Determine whether the points (3,2),(5,3), and...Ch. 4.6 - Determine whether the points (4,1),(6,2) and (2,4)...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, find and then evaluate...Ch. 4.6 - In the following exercises, find and then evaluate...Ch. 4.6 - In the following exercises, find and then evaluate...Ch. 4.6 - In the following exercises, find and then evaluate...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, determine whether the...Ch. 4.6 - In the following exercises, determine whether the...Ch. 4.6 - In the following exercises, determine whether the...Ch. 4.6 - In the following exercises, determine whether the...Ch. 4.6 - Explain the difference between a square matrix and...Ch. 4.6 - Explain what is meant by the minor of an entry in...Ch. 4.6 - Explain how to decide which row or column you will...Ch. 4.6 - Explain the steps for solving a system of...Ch. 4.7 - Determine whether the ordered pair is a solution...Ch. 4.7 - Determine whether the ordered pair is a solution...Ch. 4.7 - Solve the system by graphing: {y3x+2yx1 .Ch. 4.7 - Solve the system by graphing: {y 1 2x+3y3x4 .Ch. 4.7 - Solve the system by graphing: {x+y2y 2 3x1 .Ch. 4.7 - Solve the system by graphing: {3x2y6y 1 4x+5 .Ch. 4.7 - Solve the system by graphing: {y3x2y1 .Ch. 4.7 - Solve the system by graphing: {x4x2y4 .Ch. 4.7 - Solve the system by graphing: {3x2y12y 3 2x+1 .Ch. 4.7 - Solve the system by graphing: {x+3y8y 1 3x2 .Ch. 4.7 - Solve the system by graphing: {y3x+13x+y4 .Ch. 4.7 - Solve the system by graphing: {y 1 4x+2x+4y4 .Ch. 4.7 - A trailer can carry a maximum weight of 160 pounds...Ch. 4.7 - Mary needs to purchase supplies of answer sheets...Ch. 4.7 - Tension needs to eat at least an extra 1,000...Ch. 4.7 - Philip’s doctor tells him he should add at least...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - 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In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - Graph the inequality xy3 . How do you knowwhich...Ch. 4.7 - Graph the system {x+2y6y 1 2x4 . 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- Write an application problem similar to Example 4.14. Then translate to a system of equations and solve it.arrow_forwardUsing the method of addition, is there only one way to solve the system?arrow_forwardTranslate to a system of equations and then solve: Charlie left his mother’s house traveling at an average speed of 36 miles per hour. His sister Sally left 15 minutes (1/4 hour) later traveling the same route at an average speed of 42 miles per hour. How long before Sally catches up to Charlie?arrow_forward
- Take a handful of two types of coins, and write a problem similar to Example 4.25 relating the total number of coins and their total value. Set up a system of equations to describe your situation and then solve it.arrow_forwardUse the system of three equations in three variables to solve each problem. Work schedules A college student earns 198.50 per week working three part-time jobs. Half of his 30-hour work week is spent cooking hamburgers at a fast-food chain, earning 5.70 per hour. In addition, the student earns 6.30 per hour doing janitorial work. How many hours per week does the student work at each jobarrow_forwardTranslate to a system of equations and then solve: Alexis wants to build a rectangular dog run in her yard adjacent to her neighbor’s fence. She will use 136 feet of fencing to completely enclose the rectangular dog run. The length of the dog run along the neighbor’s fence will be 16 feet less than twice the width. Find the length and width of the dog run.arrow_forward
- Translate to a system of equations and then solve: A Mississippi river boat cruise sailed 120 miles upstream for 12 hours and then took 10 hours to return to the dock. Find the speed of the river boat in still water and the speed of the river current.arrow_forwardTranslate to a system of equations: A couple has a total household income of $84,000. The husband earns $18,000 less than twice what the wife earns.How much does the wife earn?arrow_forwardWrite an application problem similar to Example5.37 using the ages of two of your friends or family members. Then translate to a system of equations and solve it.arrow_forward
- Translate to a system of equations and then solve: Mitchell left Detroit on the interstate driving south towards Orlando at a speed of 60 miles per hour. Clark left Detroit 1 hour later traveling at a speed of 75 miles per hour, following the same route as Mitchell. How long will it take Clark to catch Mitchell?arrow_forwardIn your own words, explain the advantages and disadvantages of solving a system of equations by graphing.arrow_forwardSolve the system of equations by substitution and explain all your steps in words: {3x+y=12x=y8 .arrow_forward
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