Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Textbook Question
Chapter 4.4, Problem 4.72TI
The community college soccer team sold three kinds of tickets to its latest game. The adult tickets sold for $10, the student tickets for $8 and the child tickets for $5. The soccer team was thrilled to have sold 600 tickets and brought in $4,900 for one game. The number of adult tickets is twice the number of child tickets. How many of each type did the soccer team sell?
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Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
Select the best statement.
A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors
are distinct.
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B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0
excluded spans Rª.
○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n
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○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors
spans Rn.
E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn.
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Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.)
☐ A.
{
7
4
3
13
-9
8
-17
7
☐ B.
0
-8
3
☐ C.
0
☐
D.
-5
☐ E.
3
☐ F.
4
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Chapter 4 Solutions
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 - 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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 - 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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 - 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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 - 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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 - 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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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