Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 5.4, Problem 5.85TI
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.
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Assume {u1, U2, 13, 14} spans R³.
Select the best statement.
A. {U1, U2, u3} never spans R³ since it is a proper subset of a spanning set.
B. {U1, U2, u3} spans R³ unless one of the vectors is the zero vector.
C. {u1, U2, us} spans R³ unless one of the vectors is a scalar multiple of another vector in the set.
D. {U1, U2, us} always spans R³.
E. {U1, U2, u3} may, but does not have to, span R³.
F. none of the above
Let H = span {u, v}. For each of the following sets of vectors determine whether H is a line or a plane.
Select an Answer
u =
3
1.
-10
8-8
-2
,v=
5
Select an Answer
-2
u =
3
4
2.
+
9
,v=
6
Solve for the matrix X:
X
(2 7³) x + ( 2 ) - (112)
6
14
8
Chapter 5 Solutions
Elementary Algebra
Ch. 5.1 - Determine whether the ordered pair is a solution...Ch. 5.1 - Determine whether the ordered pair is a solution...Ch. 5.1 - Solve each system by graphing: {x3y=3x+y=5 .Ch. 5.1 - Solve each system by graphing: {x+y=13x+2y=12 .Ch. 5.1 - Solve each system by graphing: {y=2x+2y=x4 .Ch. 5.1 - Solve each system by graphing: {y=3x+3y=x+7 .Ch. 5.1 - Solve each system by graphing: {x+y=12x+y=10 .Ch. 5.1 - Solve each system by graphing: {2x+y=6x+y=1 .Ch. 5.1 - Solve each system by graphing: {x+y=6xy=2 .Ch. 5.1 - Solve each system by graphing: {x+y=2xy=8 .
Ch. 5.1 - Solve each system by graphing: {y=1x+3y=6 .Ch. 5.1 - Solve each system by graphing: {x=43x2y=24 .Ch. 5.1 - Solve each system by graphing: {y= 1 4x+2x+4y=8 .Ch. 5.1 - Solve each system by graphing: {y=3x16x2y=6 .Ch. 5.1 - Solve each system by graphing: {y=3x66x+2y=12 .Ch. 5.1 - Solve each system by graphing: {y= 1 2x42x4y=16 .Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Manny is making 12 quarts of orange juice from...Ch. 5.1 - Alisha is making an 18 ounce coffee beverage that...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - In the following exercises, solve. 63. Molly is...Ch. 5.1 - In the following exercises, solve. 64. Jamal is...Ch. 5.1 - In the following exercises, solve. 65. Enrique is...Ch. 5.1 - In the following exercises, solve. 66. Owen is...Ch. 5.1 - Leo is planning his spring flower garden. He wants...Ch. 5.1 - A marketing company surveys 1,200 people. They...Ch. 5.1 - In a system of linear equations, the two equations...Ch. 5.1 - In a system of linear equations, the two equations...Ch. 5.2 - Solve the system by substitution. {2x+y=11x+3y=9Ch. 5.2 - Solve the system by substitution. {x+3y=104x+y=18Ch. 5.2 - Solve the system by substitution. {x+y=6y=3x2Ch. 5.2 - Solve the system by substitution. {2xy=1y=3x6Ch. 5.2 - Solve the system by substitution. {4x+y=23x+2y=1Ch. 5.2 - Solve the system by substitution. {x+y=44xy=2Ch. 5.2 - Solve the system by substitution. {x5y=134x3y=1Ch. 5.2 - Solve the system by substitution. {x6y=62x4y=4Ch. 5.2 - Solve the system by substitution. {y=3x16y= 1 3xCh. 5.2 - Solve the system by substitution. {y=x+10y= 1 4xCh. 5.2 - Solve the system by substitution. {x4y=43x+4y=0Ch. 5.2 - Solve the system by substitution. {4xy=02x3y=5Ch. 5.2 - Solve the system by substitution....Ch. 5.2 - Solve the system by substitution....Ch. 5.2 - Solve the system by substitution. {3x+2y=9y= 3...Ch. 5.2 - Solve the system by substitution. {5x3y=2y= 5 3x4Ch. 5.2 - The sum of two numbers is 10. One number is 4 less...Ch. 5.2 - The sum of two number is 6 . One number is 10 less...Ch. 5.2 - The perimeter of a rectangle is 40. The length is...Ch. 5.2 - The perimeter of a rectangle is 58. The length is...Ch. 5.2 - The measure of one of the small angles of a right...Ch. 5.2 - The measure of one of the small angles of a right...Ch. 5.2 - Geraldine has been offered positions by two...Ch. 5.2 - Kenneth currently sells suits for company A at a...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - When Gloria spent 15 minutes on the elliptical...Ch. 5.2 - Stephanie left Riverside, California, driving her...Ch. 5.2 - Solve the system of equations {x+y=10xy=6 (a)by...Ch. 5.2 - Solve the system of equations {3x+y=12x=y8 by...Ch. 5.3 - Solve the system by elimination. {3x+y=52x3y=7Ch. 5.3 - Solve the system by elimination. {4x+y=52x2y=2Ch. 5.3 - Solve the system by elimination. {2x+y=5xy=4Ch. 5.3 - Solve the system by elimination. {x+y=32xy=1Ch. 5.3 - Solve the system by elimination. {4x3y=15x9y=4Ch. 5.3 - Solve the system by elimination. {3x+2y=26x+5y=8Ch. 5.3 - Solve the system by elimination. {3x4y=95x+3y=14Ch. 5.3 - Solve the system by elimination. {7x+8y=43x5y=27Ch. 5.3 - Solve the system by elimination. { 1 3x 1 2y=1 3...Ch. 5.3 - Solve the system by elimination. {x+ 3 5y= 1 5 1...Ch. 5.3 - Solve the system by elimination. {5x3y=15y=5+ 5 3xCh. 5.3 - Solve the system by elimination. {x+2y=6y= 1 2x+3Ch. 5.3 - Solve the system by elimination. {3x+2y=89x6y=13Ch. 5.3 - Solve the system by elimination. {7x3y=214x+6y=8Ch. 5.3 - The sum of two numbers is 42. Their difference is...Ch. 5.3 - The sum of two numbers is 15 . Their difference is...Ch. 5.3 - Malik stops at the grocery store to buy a bag of...Ch. 5.3 - To get her daily intake of fruit for the day,...Ch. 5.3 - For each system of linear equations, decide...Ch. 5.3 - For each system of linear equations, decide...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - 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In the following exercises, translate to a system...Ch. 5.3 - In the following exercises, translate to a system...Ch. 5.3 - In the following exercises, decide whether it...Ch. 5.3 - In the following exercises, decide whether it...Ch. 5.3 - In the following exercises, decide whether it...Ch. 5.3 - In the following exercises, decide whether it...Ch. 5.3 - Norris can row 3 miles upstream against the...Ch. 5.3 - Josie wants to make 10 pounds of trail mix using...Ch. 5.3 - Solve the system {x+y=105x+8y=56 (a)by...Ch. 5.3 - Solve the system {x+y=12y=4 1 2x (a) by...Ch. 5.4 - Translate to a system of equations: The sum of two...Ch. 5.4 - Translate to a system of equations: The sum of two...Ch. 5.4 - Translate to a system of equations: A couple has a...Ch. 5.4 - Translate to a system of equations: A senior...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - In the following exercises, translate to a system...Ch. 5.4 - In the following exercises, translate to a system...Ch. 5.4 - In the following exercises, translate to a system...Ch. 5.4 - 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Write an application problem similar to...Ch. 5.4 - Write a uniform motion problem similar to Example...Ch. 5.5 - Translate to a system of equations and solve: The...Ch. 5.5 - Translate to a system of equations and solve: A...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve: Juan...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve: Leon...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - In the following exercises, translate to a system...Ch. 5.5 - In the following exercises, translate to a system...Ch. 5.5 - In the following exercises, translate to a system...Ch. 5.5 - 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Determine whether the ordered pair is a solution...Ch. 5.6 - Solve the system by graphing. {y3x+2yx1Ch. 5.6 - Solve the system by graphing. {y 1 2x+3y3x4Ch. 5.6 - Solve the system by graphing. {x+y2y 2 3x1Ch. 5.6 - Solve the system by graphing. {3x2y6y 1 4x+5Ch. 5.6 - Solve the system by graphing. {y3x2y1Ch. 5.6 - Solve the system by graphing. {x4x2y4Ch. 5.6 - Solve the system by graphing. {3x2y12y 3 2x+1Ch. 5.6 - Solve the system by graphing. {x+3y8y 1 3x2Ch. 5.6 - Solve the system by graphing. {y3x+13x+y4Ch. 5.6 - Solve the system by graphing. {y 1 4x+2x+4y4Ch. 5.6 - A trailer can carry a maximum weight of 160 pounds...Ch. 5.6 - Mary needs to purchase supplies of answer sheets...Ch. 5.6 - Tension needs to eat at least an extra 1,000...Ch. 5.6 - Philip’s doctor tells him he should add at least...Ch. 5.6 - In the following exercises, determine whether each...Ch. 5.6 - In the following exercises, determine whether each...Ch. 5.6 - In the following exercises, determine whether each...Ch. 5.6 - 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