Solve the system by the substitution method. -\[\begin{array} { l } y = 9 x ^ { 2 } - 18 x \\ y = 9 x \end{array}\]

A) $\{ ( 0,0 ) \}$ B) $\{ ( 0,0 ) , ( 3,27 ) \}$ C) { } D) $\{ ( 3,27 ) \}$ A) $\{ ( 0,0 ) \}$ B) $\{ ( 0,0 ) , ( 3,27 ) \}$ C) { } D) $\{ ( 3,27 ) \}$

Solve the system of equations by using the addition method. -\[\begin{array} { l } 2 ( x - y ) = y - 2 \\ - 3 x + 12 = - 2 y \end{array}\]

A) $\{ ( 8,9 ) \}$ B) $\{ ( 0 , - 6 ) \}$ C) $\{ ( 8,6 ) \}$ D) $\{ ( - 6,0 ) \}$ A) $\{ ( 8,9 ) \}$ B) $\{ ( 0 , - 6 ) \}$ C) $\{ ( 8,6 ) \}$ D) $\{ ( - 6,0 ) \}$

Exam 5: Systems of Equations and Inequalities

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. - -2x-5y+6z=11 -x-2y-7z=-25 7x+5y-7z=16

(Multiple Choice)

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Question 81

Choose the one alternative that best completes the statement or answers the question. Determine whether the ordered pair is a solution to the inequality. - $y \geq ( x + 2 ) ^ { 2 } - 1$

(Multiple Choice)

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Question 82

Solve the problem. -A theater charges $50 per ticket for seats in section A, $40 per ticket for seats in section B, and $20 per ticket for seats in section C. For one play, 9,500 tickets were sold for a total of $335,000 in Revenue. If 500 more tickets in section B were sold than the other two sections combined, how many Tickets in each section were sold?

(Multiple Choice)

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Question 83

Choose the one alternative that best completes the statement or answers the question. Determine whether the ordered pair is a solution to the inequality. - $- x - 4 y \geq 10$

(Multiple Choice)

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Question 84

Solve the problem. -Find two numbers whose sum is -1 and whose product is -72.

(Multiple Choice)

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Question 85

Solve the system by the substitution method. - y=9-18x y=9x

(Multiple Choice)

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Question 86

Solve the system by using any method. - $\log x + 4 \log y = 11$ $3 \log x - \log y = 7$

(Multiple Choice)

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Question 87

Choose the one alternative that best completes the statement or answers the question. Determine whether the ordered pair is a solution to the inequality. - $- 4 x + y > - 2$

(Multiple Choice)

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Question 88

Solve the system of equations by using the addition method. - 2(x-y)=y-2 -3x+12=-2y

(Multiple Choice)

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Question 89

Choose the one alternative that best completes the statement or answers the question. Determine whether the ordered pair is a solution to the inequality. - $| y | - 4 > - 2$

(Multiple Choice)

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Question 90

Find the indicated system of inequalities. -Write a system of inequalities that represents the points in the first quadrant less than 7 units from the origin.

(Multiple Choice)

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Question 91

Solve the system by using any method. If a system does not have one unique solution, state whether the system is inconsistent or whether the equations are dependent. - 0.01x-0.02y=0.006 0.03x-0.04y=0.06

(Multiple Choice)

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Question 92

Solve the problem. -A college theater reserves x tickets for students and y tickets for general admission. Total number of seats available is at most 500. The college reserves a least 2 times as many student tickets as general Admission tickets. The number of student tickets cannot be negative. The number of general Admission tickets cannot be negative. Write a system of inequalities to represent the described Scenario and graph the solution set.

(Multiple Choice)

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Question 93

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. - -9x-6z =19 y+8z =-2 x-3y =35

(Multiple Choice)

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Question 94

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. - x-2z =10 3y+6z =-27 2x-2y =6

(Multiple Choice)

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Question 95

Use a graphing utility to approximate the solution(s) to the system of equations. Round the coordinates to 3 decimal places. - y=-0.6x+7 y=-9

(Multiple Choice)

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Question 96

Graph the solution set. - x-y \leq4 x \geq-1 y \leq-2

(Multiple Choice)

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Question 97

Solve the problem. -Two angles are supplementary. The measure of one angle is 68° more than 3 times the measure of the other angle. Find the measure of each angle.

(Multiple Choice)

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Question 98

Solve the system by using any method. If a system does not have one unique solution, state whether the system is inconsistent or whether the equations are dependent. - 2(3x+y)=y-x+8 x-y=

(Multiple Choice)

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Question 99

Find the partial fraction decomposition. - $\frac { 9 x ^ { 2 } + 36 x + 8 } { ( x + 4 ) \left( x ^ { 2 } + 5 x + 6 \right) }$

(Multiple Choice)

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Question 100

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. - -2x-5y+6z=11 -x-2y-7z=-25 7x+5y-7z=16

Choose the one alternative that best completes the statement or answers the question. Determine whether the ordered pair is a solution to the inequality. - $y \geq ( x + 2 ) ^ { 2 } - 1$

Choose the one alternative that best completes the statement or answers the question. Determine whether the ordered pair is a solution to the inequality. - $- x - 4 y \geq 10$

Solve the problem. -Find two numbers whose sum is -1 and whose product is -72.

Solve the system by the substitution method. - y=9-18x y=9x

Solve the system by using any method. - $\log x + 4 \log y = 11$ $3 \log x - \log y = 7$

Choose the one alternative that best completes the statement or answers the question. Determine whether the ordered pair is a solution to the inequality. - $- 4 x + y > - 2$

Solve the system of equations by using the addition method. - 2(x-y)=y-2 -3x+12=-2y

Choose the one alternative that best completes the statement or answers the question. Determine whether the ordered pair is a solution to the inequality. - $| y | - 4 > - 2$

Find the indicated system of inequalities. -Write a system of inequalities that represents the points in the first quadrant less than 7 units from the origin.

Solve the system by using any method. If a system does not have one unique solution, state whether the system is inconsistent or whether the equations are dependent. - 0.01x-0.02y=0.006 0.03x-0.04y=0.06

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. - -9x-6z =19 y+8z =-2 x-3y =35

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. - x-2z =10 3y+6z =-27 2x-2y =6

Use a graphing utility to approximate the solution(s) to the system of equations. Round the coordinates to 3 decimal places. - y=-0.6x+7 y=-9

Graph the solution set. - x-y \leq4 x \geq-1 y \leq-2

Solve the problem. -Two angles are supplementary. The measure of one angle is 68° more than 3 times the measure of the other angle. Find the measure of each angle.

Solve the system by using any method. If a system does not have one unique solution, state whether the system is inconsistent or whether the equations are dependent. - 2(3x+y)=y-x+8 x-y=

Find the partial fraction decomposition. - $\frac { 9 x ^ { 2 } + 36 x + 8 } { ( x + 4 ) \left( x ^ { 2 } + 5 x + 6 \right) }$

Equations and Inequalities

Functions and Relations

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Matrices and Determinants and Applications

Analytic Geometry

Sequences, Series, Induction, and Probability

Review of Prerequisites

Filters

Exam 5: Systems of Equations and Inequalities

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. - -2x-5y+6z=11 -x-2y-7z=-25 7x+5y-7z=16

Choose the one alternative that best completes the statement or answers the question. Determine whether the ordered pair is a solution to the inequality. - y≥(x+2)2−1y \geq ( x + 2 ) ^ { 2 } - 1y≥(x+2)2−1

Choose the one alternative that best completes the statement or answers the question. Determine whether the ordered pair is a solution to the inequality. - −x−4y≥10- x - 4 y \geq 10−x−4y≥10

Solve the problem. -Find two numbers whose sum is -1 and whose product is -72.

Solve the system by the substitution method. - y=9-18x y=9x

Solve the system by using any method. - log⁡x+4log⁡y=11\log x + 4 \log y = 11logx+4logy=11 3log⁡x−log⁡y=73 \log x - \log y = 73logx−logy=7

Choose the one alternative that best completes the statement or answers the question. Determine whether the ordered pair is a solution to the inequality. - −4x+y>−2- 4 x + y > - 2−4x+y>−2

Solve the system of equations by using the addition method. - 2(x-y)=y-2 -3x+12=-2y

Choose the one alternative that best completes the statement or answers the question. Determine whether the ordered pair is a solution to the inequality. - ∣y∣−4>−2| y | - 4 > - 2∣y∣−4>−2

Find the indicated system of inequalities. -Write a system of inequalities that represents the points in the first quadrant less than 7 units from the origin.

Solve the system by using any method. If a system does not have one unique solution, state whether the system is inconsistent or whether the equations are dependent. - 0.01x-0.02y=0.006 0.03x-0.04y=0.06

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. - -9x-6z =19 y+8z =-2 x-3y =35

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. - x-2z =10 3y+6z =-27 2x-2y =6

Use a graphing utility to approximate the solution(s) to the system of equations. Round the coordinates to 3 decimal places. - y=-0.6x+7 y=-9

Graph the solution set. - x-y \leq4 x \geq-1 y \leq-2

Solve the problem. -Two angles are supplementary. The measure of one angle is 68° more than 3 times the measure of the other angle. Find the measure of each angle.

Solve the system by using any method. If a system does not have one unique solution, state whether the system is inconsistent or whether the equations are dependent. - 2(3x+y)=y-x+8 x-y=

Find the partial fraction decomposition. - 9x2+36x+8(x+4)(x2+5x+6)\frac { 9 x ^ { 2 } + 36 x + 8 } { ( x + 4 ) \left( x ^ { 2 } + 5 x + 6 \right) }(x+4)(x2+5x+6)9x2+36x+8​

Equations and Inequalities

Functions and Relations

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Matrices and Determinants and Applications

Analytic Geometry

Sequences, Series, Induction, and Probability

Review of Prerequisites

Filters

Choose the one alternative that best completes the statement or answers the question. Determine whether the ordered pair is a solution to the inequality. - $y \geq ( x + 2 ) ^ { 2 } - 1$

Choose the one alternative that best completes the statement or answers the question. Determine whether the ordered pair is a solution to the inequality. - $- x - 4 y \geq 10$

Solve the system by using any method. - $\log x + 4 \log y = 11$ $3 \log x - \log y = 7$

Choose the one alternative that best completes the statement or answers the question. Determine whether the ordered pair is a solution to the inequality. - $- 4 x + y > - 2$

Choose the one alternative that best completes the statement or answers the question. Determine whether the ordered pair is a solution to the inequality. - $| y | - 4 > - 2$

Find the partial fraction decomposition. - $\frac { 9 x ^ { 2 } + 36 x + 8 } { ( x + 4 ) \left( x ^ { 2 } + 5 x + 6 \right) }$