Exam 8: Systems of Linear Equations and Inequalities

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Match the graph to the linear inequality. Match the graph to the linear inequality.

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Use row operations to transform the matrix to reduced row-echelon form. Use row operations to transform the matrix to reduced row-echelon form.

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Perform the row operations Perform the row operations   on the matrix and write the resulting matrix.  on the matrix and write the resulting matrix. Perform the row operations   on the matrix and write the resulting matrix.

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Starbucks Coffee sells its House Blend for $9.08 per pound and its Sumatra coffee for $13.97 per pound. How many pounds of each type of coffee did a Starbucks outlet sell in one day if the total number of pounds sold was 50 and the day's receipts totaled $674.05? Let h represent the number of pounds of House Blend and s the number of pounds of Sumatra sold. Round your answer to the nearest pound.

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Minimize Minimize        Minimize

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Graph the linear inequality. Graph the linear inequality.

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Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solution), or dependent (infinitely many solutions). 7x + 10y - 3z = -7 -7x - 10y + 3z = 7 10x + 5y + 4z = 29

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Solve the system of linear equations for k, m, and n. 2k + 8m - 4n = -60 4k - 2m - 5n = 3 7k - 8m - 5n = 51

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Solve the system by linear equations by substitution. Solve the system by linear equations by substitution.

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Calculate A + B if Calculate A + B if   And   And Calculate A + B if   And

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Write the system of linear equations represented by the augmented matrix. Utilize the variables x, y, and z. Write the system of linear equations represented by the augmented matrix. Utilize the variables x, y, and z.

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Josh and Ginger decide to place $14,900 of their savings into investments. They put some in a money market account earning 5.1 % interest, some in a mutual fund that has been averaging 6.9% a year, and some in a stock that rose 9.1% last year. If they put $1,600 more in the money market than in the mutual fund and the mutual fund and stocks have the same growth in the next year as they did in the previous year, they will earn $1,006.7 in a year. How much money did they put in each of the three investments?

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Employ the following supply and demand equations. Demand Employ the following supply and demand equations. Demand     Supply     Write a system of linear inequalities corresponding to the consumer surplus. Supply Employ the following supply and demand equations. Demand     Supply     Write a system of linear inequalities corresponding to the consumer surplus. Write a system of linear inequalities corresponding to the consumer surplus.

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Write the partial fraction decomposition for the given rational expression. Write the partial fraction decomposition for the given rational expression.

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Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solution), or dependent (infinitely many solutions). -6x - 7y + 2z = 6 -7x - 7y + 4z = -1 5x + 4y - 6z = 11

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Use Cramer's Rule to solve the system of equations. Use Cramer's Rule to solve the system of equations.

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Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants. Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

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Graph the linear inequality. Graph the linear inequality.

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Use Cramer's Rule to solve the system of equations. Use Cramer's Rule to solve the system of equations.

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Write the system of linear equations as an augmented matrix. 24x - 5y = 27 10x + 3y = -28

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