College Algebra By Openstax
17th Edition
ISBN: 9781506698229
Author: Jay Abramson;arizona State University
Publisher: XANEDU PUBLISHING
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Textbook Question
Chapter 7.8, Problem 51SE
For the following exercise, create a system of linear equations to describe the behavior. Then, calculate the determinant. Will there be a unique solution? If so, find the unique solution.
51. Three numbers add up to 106. The first number is 3 less than the second number. The third number is 4 more than the first number.
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The augmented matrix of a linear system has been reduced by row operations to the
form shown. Continue the appropriate row operations and describe the solution set of the
original system.
1 -1
0 1 -2
00-4
0-6
0
0
1
- 3
3
0
001
4
Solve the system.
X1
-
3x3
=
10
4x1
+ 2x2 + 3x3 =
22
×2 + 4x3
=
-2
Use the quadratic formula to find the zeros of the quadratic equation.
Y=3x^2+48x+180
Chapter 7 Solutions
College Algebra By Openstax
Ch. 7.1 - Determine whether the ordered pair (8, 5) is a...Ch. 7.1 - Solve the following system of equations by...Ch. 7.1 - Solve the following system of equations by...Ch. 7.1 - Solve the system of equations by addition....Ch. 7.1 - Solve the system of equations by addition....Ch. 7.1 - Solve the following system of equations in two...Ch. 7.1 - Solve the following system of equations in two...Ch. 7.1 - Meal tickets at the circus cost $4.00 for children...Ch. 7.1 - Can a system of linear equations have exactly two...Ch. 7.1 - If you are performing a break-even analysis for a...
Ch. 7.1 - If you are solving a break-even analysis and get a...Ch. 7.1 - If you are solving a break-even analysis and there...Ch. 7.1 - Given a system of equations, explain at least two...Ch. 7.1 - For the following exercises, determine whether the...Ch. 7.1 - For the following exercises, determine whether the...Ch. 7.1 - For the following exercises, determine whether the...Ch. 7.1 - For the following exercises, determine whether the...Ch. 7.1 - For the following exercises, determine whether the...Ch. 7.1 - For the following exercises, solve each system by...Ch. 7.1 - For the following exercises, solve each system by...Ch. 7.1 - For the following exercises, solve each system by...Ch. 7.1 - For the following exercises, solve each system by...Ch. 7.1 - For the following exercises, solve each system by...Ch. 7.1 - For the following exercises, solve each system by...Ch. 7.1 - For the following exercises, solve each system by...Ch. 7.1 - For the following exercises, solve each system by...Ch. 7.1 - 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For the following exercises, use a system of...Ch. 7.1 - For the following exercises, use a system of...Ch. 7.1 - For the following exercises, use a system of...Ch. 7.1 - For the following exercises, use a system of...Ch. 7.1 - For the following exercises, use a system of...Ch. 7.1 - For the following exercises, use a system of...Ch. 7.1 - For the following exercises, use a system of...Ch. 7.1 - For the following exercises, use a system of...Ch. 7.2 - Solve the system of equations in three variables....Ch. 7.2 - Solve the system of equations in three variables....Ch. 7.2 - Solve the following system...Ch. 7.2 - Can a linear system of three equations have...Ch. 7.2 - If a given ordered triple solves the system of...Ch. 7.2 - If a given ordered triple does not solve the...Ch. 7.2 - Using the method of addition, is there only one...Ch. 7.2 - Can you explain whether there can be only one...Ch. 7.2 - For the Following exercises, determine whether the...Ch. 7.2 - For the Following exercises, determine whether the...Ch. 7.2 - For the Following exercises, determine whether the...Ch. 7.2 - For the Following exercises, determine whether the...Ch. 7.2 - For the Following exercises, determine whether the...Ch. 7.2 - For the following exercises, solve each system by...Ch. 7.2 - For the following exercises, solve each system by...Ch. 7.2 - For the following exercises, solve each system by...Ch. 7.2 - For the following exercises, solve each system by...Ch. 7.2 - For the following exercises, solve each system by...Ch. 7.2 - For the following exercises, solve each system by...Ch. 7.2 - For the following exercises, solve each system by...Ch. 7.2 - For the following exercises, solve each system by...Ch. 7.2 - For the following exercises, solve each system by...Ch. 7.2 - For the following exercises, solve each system by...Ch. 7.2 - For the following exercises, solve each system by...Ch. 7.2 - For the following exercises, solve each system by...Ch. 7.2 - For the following exercises, solve each system by...Ch. 7.2 - For the following exercises, solve each system by...Ch. 7.2 - 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The smaller is...Ch. 7.2 - Three numbers sum up to 147. The smallest number...Ch. 7.2 - At a family reunion, there were only blood...Ch. 7.2 - An animal shelter has a total of 350 animals...Ch. 7.2 - Your roommate, Sarah, offered to buy groceries for...Ch. 7.2 - Your roommate, John, offered to buy household...Ch. 7.2 - Three coworkers work for the same employer. Their...Ch. 7.2 - At a carnival, $2,914.25 in receipts were taken at...Ch. 7.2 - A local band sells out for their concert. They...Ch. 7.2 - In a bag, a child has 325 coins worth $19.50....Ch. 7.2 - Last year, at Haven's Pond Car Dealership, for a...Ch. 7.2 - A recent college graduate took advantage of his...Ch. 7.2 - You inherit one million dollars. You invest it all...Ch. 7.2 - You inherit one hundred thousand dollars. You...Ch. 7.2 - The top three countries in oil consumption in a...Ch. 7.2 - The top three countries in oil production in the...Ch. 7.2 - The top three sources of oil imports for the...Ch. 7.2 - The top three oil producers in the United States...Ch. 7.2 - At one time, in the United States, 398 species of...Ch. 7.2 - Meat consumption in the United States can be...Ch. 7.3 - Solve the given system of equations by...Ch. 7.3 - Solve the given system of equations by...Ch. 7.3 - Find the solution set for the given system of...Ch. 7.3 - Graph the given system of inequalities. yx21xy1Ch. 7.3 - Explain whether a system of two nonlinear...Ch. 7.3 - When graphing an inequality, explain why we only...Ch. 7.3 - When you graph a system of inequalities, will...Ch. 7.3 - If you graph a revenue and cost function, explain...Ch. 7.3 - If you perform your break-even analysis and there...Ch. 7.3 - For the following exercises, solve the system of...Ch. 7.3 - For the following exercises, solve the system of...Ch. 7.3 - 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For the following exercises, graph the system of...Ch. 7.3 - For the following exercises, graph the system of...Ch. 7.3 - For the following exercises, graph the system of...Ch. 7.3 - For the following exercises, graph the system of...Ch. 7.3 - For the following exercises, graph the inequality....Ch. 7.3 - For the following exercises, graph the inequality....Ch. 7.3 - For the following exercises, find the solutions to...Ch. 7.3 - For the following exercises, find the solutions to...Ch. 7.3 - For the following exercises, find the solutions to...Ch. 7.3 - For the following exercises, find the solutions to...Ch. 7.3 - For the following exercises, find the solutions to...Ch. 7.3 - For the following exercises, solve the system of...Ch. 7.3 - For the following exercises, solve the system of...Ch. 7.3 - For the following exercises, construct a system of...Ch. 7.3 - For the following exercises, construct a system of...Ch. 7.3 - For the following exercises, construct a system of...Ch. 7.3 - For the following exercises, construct a system of...Ch. 7.4 - Find the partial fraction decomposition of the...Ch. 7.4 - Find the partial fraction decomposition of the...Ch. 7.4 - Find the partial fraction decomposition of the...Ch. 7.4 - Find the partial fraction decomposition of the...Ch. 7.4 - Can any quotient of polynomials be decomposed into...Ch. 7.4 - Can you explain why a partial fraction...Ch. 7.4 - Can you explain how to verify a partial fraction...Ch. 7.4 - You are unsure if you correctly decomposed the...Ch. 7.4 - Once you have a system of equations generated by...Ch. 7.4 - For the following exercises, find the...Ch. 7.4 - For the following exercises, find the...Ch. 7.4 - For the following exercises, find the...Ch. 7.4 - For the following exercises, find the...Ch. 7.4 - For the following exercises, find the...Ch. 7.4 - For the following exercises, find the...Ch. 7.4 - For the following exercises, find the...Ch. 7.4 - For the following exercises, find the...Ch. 7.4 - For the following exercises, find the...Ch. 7.4 - For the following exercises, find the...Ch. 7.4 - 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For the following exercises, find the partial...Ch. 7.4 - For the following exercises, perform the operation...Ch. 7.4 - For the following exercises, perform the operation...Ch. 7.4 - For the following exercises, perform the operation...Ch. 7.5 - Add matrix A and matrix B. A=[211603] and...Ch. 7.5 - Given matrix B, find - 2B where A=[4132]Ch. 7.5 - Can we add any two matrices together? If so,...Ch. 7.5 - Can we multiply any column matrix by any row...Ch. 7.5 - Can both the products AB and BA be defined? If so,...Ch. 7.5 - Can any two matrices of the same size be...Ch. 7.5 - Does matrix multiplication commute? 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For the following exercises, use the matrix below...Ch. 7.6 - Write the augmented matrix of the given system of...Ch. 7.6 - Write the system of equations from the augmented...Ch. 7.6 - Solve the given system by Gaussian elimination....Ch. 7.6 - Write the system of equations in row-echelon form....Ch. 7.6 - Solve the system using matrices....Ch. 7.6 - A small shoe company took out a loan of $l,500,000...Ch. 7.6 - Can any system of linear equations be written as...Ch. 7.6 - Can any matrix be written as a system of linear...Ch. 7.6 - Is there only one correct method of using row...Ch. 7.6 - Can a matrix whose entry is 0 on the diagonal be...Ch. 7.6 - Can a matrix that has 0 entries for an entire row...Ch. 7.6 - For the following exercises, write the augmented...Ch. 7.6 - For the following exercises, write the augmented...Ch. 7.6 - For the following exercises, write the augmented...Ch. 7.6 - For the following exercises, write the augmented...Ch. 7.6 - For the following exercises, write the augmented...Ch. 7.6 - 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Show that the following two matrices are inverses...Ch. 7.7 - Use the formula to find the inverse of matrix A....Ch. 7.7 - Find the inverse of the 33 matrix....Ch. 7.7 - Solve the system using the inverse of the...Ch. 7.7 - In a previous section, we showed that matrix...Ch. 7.7 - Does every 22 matrix have an inverse? Explain why...Ch. 7.7 - Can you explain whether a 2×2 matrix with an...Ch. 7.7 - Can a matrix with an entire column of zeros have...Ch. 7.7 - Can a matrix with zeros on the diagonal have an...Ch. 7.7 - In the following exercises, show that matrix A is...Ch. 7.7 - In the following exercises, show that matrix A is...Ch. 7.7 - In the following exercises, show that matrix A is...Ch. 7.7 - In the following exercises, show that matrix A is...Ch. 7.7 - In the following exercises, show that matrix A is...Ch. 7.7 - In the following exercises, show that matrix A is...Ch. 7.7 - In the following exercises, show that matrix A is...Ch. 7.7 - For the following exercise, find the...Ch. 7.7 - For the following exercise, find the...Ch. 7.7 - For the following exercise, find the...Ch. 7.7 - For the following exercise, find the...Ch. 7.7 - For the following exercise, find the...Ch. 7.7 - For the following exercise, find the...Ch. 7.7 - For the following exercise, find the...Ch. 7.7 - For the following exercise, find the...Ch. 7.7 - For the following exercise, find the...Ch. 7.7 - For the following exercise, find the...Ch. 7.7 - For the following exercise, find the...Ch. 7.7 - For the following exercise, find the...Ch. 7.7 - For the following exercise, find the...Ch. 7.7 - For the following exercise, find the...Ch. 7.7 - For the following exercise, solve the system using...Ch. 7.7 - For the following exercise, solve the system using...Ch. 7.7 - For the following exercise, solve the system using...Ch. 7.7 - For the following exercise, solve the system using...Ch. 7.7 - For the following exercise, solve the system using...Ch. 7.7 - For the following exercise, solve the system using...Ch. 7.7 - For the following exercise, solve the system using...Ch. 7.7 - For the following exercise, solve the system using...Ch. 7.7 - For the following exercise, solve the system using...Ch. 7.7 - For the following exercise, solve the system using...Ch. 7.7 - For the following exercise, solve the system using...Ch. 7.7 - For the following exercise, solve the system using...Ch. 7.7 - For the following exercise, solve the system using...Ch. 7.7 - For the following exercise, solve the system using...Ch. 7.7 - For the following exercise, solve the system using...Ch. 7.7 - For the following exercise, solve the system using...Ch. 7.7 - For the following exercise, use a calculator to...Ch. 7.7 - For the following exercise, use a calculator to...Ch. 7.7 - For the following exercise, use a calculator to...Ch. 7.7 - For the following exercise, use a calculator to...Ch. 7.7 - For the following exercises, find the inverse of...Ch. 7.7 - For the following exercises, find the inverse of...Ch. 7.7 - For the following exercises, find the inverse of...Ch. 7.7 - For the following exercises, find the inverse of...Ch. 7.7 - For the following exercises, find the inverse of...Ch. 7.7 - For the following exercises, write a system of...Ch. 7.7 - For the following exercises, write a system of...Ch. 7.7 - For the following exercises, write a system of...Ch. 7.7 - For the following exercises, write a system of...Ch. 7.7 - For the following exercises, write a system of...Ch. 7.7 - For the following exercises, write a system of...Ch. 7.7 - For the following exercises, write a system of...Ch. 7.7 - For the following exercises, write a system of...Ch. 7.7 - For the following exercises, write a system of...Ch. 7.7 - For the following exercises, write a system of...Ch. 7.8 - Use Cramer's Rule to solve the 22 system of...Ch. 7.8 - Find the determinant of the 33 matrix....Ch. 7.8 - Use Cramer's Rule to solve the 33 matrix....Ch. 7.8 - Explain why we can always evaluate the determinant...Ch. 7.8 - Examining Cramer's Rule, explain why there is no...Ch. 7.8 - Explain what it means in terms of an inverse for a...Ch. 7.8 - The determinant of 22 matrix A is 3. If you switch...Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, find the determinant....Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, solve the system of...Ch. 7.8 - For the following exercises, use the determinant...Ch. 7.8 - For the following exercises, use the determinant...Ch. 7.8 - For the following exercises, use the determinant...Ch. 7.8 - For the following exercises, use the determinant...Ch. 7.8 - For the following exercise, create a system of...Ch. 7.8 - For the following exercise, create a system of...Ch. 7.8 - For the following exercise, create a system of...Ch. 7.8 - For the following exercise, create a system of...Ch. 7.8 - For the following exercise, create a system of...Ch. 7.8 - For the following exercise, create a system of...Ch. 7.8 - For the following exercise, create a system of...Ch. 7.8 - For the following exercise, create a system of...Ch. 7.8 - For the following exercise, create a system of...Ch. 7.8 - For the following exercise, create a system of...Ch. 7.8 - For the following exercise, create a system of...Ch. 7.8 - For the following exercise, create a system of...Ch. 7.8 - For the following exercise, create a system of...Ch. 7.8 - For the following exercise, create a system of...Ch. 7.8 - For the following exercise, create a system of...Ch. 7.8 - For the following exercise, create a system of...Ch. 7.8 - For the following exercise, create a system of...Ch. 7.8 - For the following exercises, use this scenario: A...Ch. 7.8 - For the following exercises, use this scenario: A...Ch. 7.8 - For the following exercises, use this scenario: A...Ch. 7 - For the following exercise, determine whether the...Ch. 7 - For the following exercise, determine whether the...Ch. 7 - For the following exercises, use substitution to...Ch. 7 - For the following exercises, use substitution to...Ch. 7 - For the following exercises, use substitution to...Ch. 7 - For the following exercises, use addition to solve...Ch. 7 - For the following exercises, use addition to solve...Ch. 7 - For the following exercises, use addition to solve...Ch. 7 - For the following exercises, write a system of...Ch. 7 - For the following exercises, write a system of...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, perform the given...Ch. 7 - For the following exercises, write a system of...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, graph the inequality....Ch. 7 - For the following exercises, graph the system of...Ch. 7 - For the following exercises, graph the system of...Ch. 7 - For the following exercise, graph the system of...Ch. 7 - For the following exercises, graph the system of...Ch. 7 - For the following exercises decompose into partial...Ch. 7 - For the following exercises decompose into partial...Ch. 7 - For the following exercises decompose into partial...Ch. 7 - For the following exercises decompose into partial...Ch. 7 - For the following exercises decompose into partial...Ch. 7 - For the following exercises decompose into partial...Ch. 7 - For the following exercises decompose into partial...Ch. 7 - For the following exercises decompose into partial...Ch. 7 - For the following exercises, perform the requested...Ch. 7 - For the following exercises, perform the requested...Ch. 7 - For the following exercises, perform the requested...Ch. 7 - For the following exercises, perform the requested...Ch. 7 - For the following exercises, perform the requested...Ch. 7 - For the following exercises, perform the requested...Ch. 7 - For the following exercises, perform the requested...Ch. 7 - For the following exercises, perform the requested...Ch. 7 - For the following exercises, perform the requested...Ch. 7 - For the following exercises, perform the requested...Ch. 7 - For the following exercises, perform the requested...Ch. 7 - For the following exercises, perform the requested...Ch. 7 - For the following exercises, write the system of...Ch. 7 - For the following exercises, write the system of...Ch. 7 - For the following exercises, write the augmented...Ch. 7 - For the following exercises, write the augmented...Ch. 7 - For the following exercises, write the augmented...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, find the inverse of...Ch. 7 - For the following exercises, find the inverse of...Ch. 7 - For the following exercises, find the inverse of...Ch. 7 - For the following exercises, find the inverse of...Ch. 7 - For the following exercises, find the solutions by...Ch. 7 - For the following exercises, find the solutions by...Ch. 7 - For the following exercises, find the solutions by...Ch. 7 - For the following exercises, find the solutions by...Ch. 7 - For the following exercises, write a system of...Ch. 7 - For the following exercises, write a system of...Ch. 7 - For the following exercises, find the determinant....Ch. 7 - For the following exercises, find the determinant....Ch. 7 - For the following exercises, find the determinant....Ch. 7 - For the following exercises, find the determinant....Ch. 7 - For the following exercises, use Cramer’s rule to...Ch. 7 - For the following exercises, use Cramer’s rule to...Ch. 7 - For the following exercises, use Cramer’s Rule to...Ch. 7 - For the following exercises, use Cramer’s rule to...Ch. 7 - For the following exercises, use Cramer’s rule to...Ch. 7 - For the following exercises, use Cramer’s rule to...Ch. 7 - Is the following ordered pair a solution to the...Ch. 7 - For the following exercises, solve the systems of...Ch. 7 - ]For the following exercises, solve the systems of...Ch. 7 - For the following exercises, solve the systems of...Ch. 7 - For the following exercises, solve the systems of...Ch. 7 - For the following exercises, solve the systems of...Ch. 7 - For the following exercises, solve the systems of...Ch. 7 - For the following exercises, solve the systems of...Ch. 7 - For the following exercises, solve the systems of...Ch. 7 - For the following exercises, graph the following...Ch. 7 - For the following exercises, graph the following...Ch. 7 - For the following exercises, write the partial...Ch. 7 - For the following exercises, write the partial...Ch. 7 - For the following exercises, write the partial...Ch. 7 - For the following exercises, perform the given...Ch. 7 - For the following exercises, perform the given...Ch. 7 - For the following exercises, perform the given...Ch. 7 - For the following exercises, perform the given...Ch. 7 - For the following exercises, perform the given...Ch. 7 - For the following exercises, perform the given...Ch. 7 - For the following exercises, perform the given...Ch. 7 - For the following exercises, perform the given...Ch. 7 - For the following exercises, solve the system of...Ch. 7 - For the following exercises, use Gaussian...Ch. 7 - For the following exercises, use the inverse of a...Ch. 7 - For the following exercises, use the inverse of a...Ch. 7 - For the following exercises, use Cramer’s Rule to...Ch. 7 - For the following exercises, use Cramer’s Rule to...Ch. 7 - For the following exercises, solve using a system...Ch. 7 - For the following exercises, solve using a system...
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