Solve the system by substitution. -\[\begin{array} { l } x - y ^ { 2 } = 0 \\ x - 25 = 0 \end{array}\]

A) $( \pm 5,25 )$ B) $( 25 , \pm 25 )$ C) $( 25,5 )$ D) $( 25 , \pm 5 )$ A) $( \pm 5,25 )$ B) $( 25 , \pm 25 )$ C) $( 25,5 )$ D) $( 25 , \pm 5 )$

Solve the system by substitution. -\[\begin{array} { l } y - x ^ { 2 } = - 2 x \\ y = x + 4 \end{array}\]

A) $( - 1,3 )$ B) $( - 1,3 )$ and $( 4,7 )$ C) $( - 1,1 )$ and $( 4,8 )$ D) $( - 1,3 )$ and $( 4,8 )$ A) $( - 1,3 )$ B) $( - 1,3 )$ and $( 4,7 )$ C) $( - 1,1 )$ and $( 4,8 )$ D) $( - 1,3 )$ and $( 4,8 )$

Perform the indicated elementary row operations. -$\begin{array} { l } ( - 10 ) R _ { 2 } + R _ { 1 } \\ { \left[ \begin{array} { r r } 3 & - 1 \\ 10 & - 3 \end{array} \right] } \end{array}$

A) $\left[\begin{array}{rr} -97 & 29 \\ 10 & -3 \end{array}\right]$ B) $\left[\begin{array}{rr} 3 & -1 \\ -100 & 30 \end{array}\right]$ C) $\left[\begin{array}{ll} 13 & -1 \\ 40 & -3 \end{array}\right]$ D) $\left[\begin{array}{rr} 3 & -1 \\ -20 & 7 \end{array}\right]$ A) $\left[\begin{array}{rr} -97 & 29 \\ 10 & -3 \end{array}\right]$ B) $\left[\begin{array}{rr} 3 & -1 \\ -100 & 30 \end{array}\right]$ C) $\left[\begin{array}{ll} 13 & -1 \\ 40 & -3 \end{array}\right]$ D) $\left[\begin{array}{rr} 3 & -1 \\ -20 & 7 \end{array}\right]$

Exam 7: Systems and Matrices

Find the indicated matrix product or state that the product is undefined. - $A = \left[ \begin{array} { l l l l } 0 & 0 & 1 & 0 \\0 & 0 & 0 & 1 \\1 & 0 & 0 & 0 \\0 & 1 & 0 & 0\end{array} \right] , B = \left[ \begin{array} { r r r r } - 5 & 9 & 6 & 4 \\8 & 4 & 9 & 8 \\7 & - 1 & 5 & 0 \\0 & - 2 & 4 & - 1\end{array} \right]$ BA

(Multiple Choice)

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Question 281

Graph the inequality. - $y \geq|x+6|$ $Graph the inequality. - y \geq|x+6|$

(Multiple Choice)

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Question 282

Solve the system of equations by finding the reduced row echelon form for the augmented matrix. - 2x+6y+10z=170 x+3y+5z=-34 x+y+z=-5

(Multiple Choice)

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Question 283

Solve the system by substitution. - x-=0 x-25=0

(Multiple Choice)

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Question 284

Determine whether the matrices are inverses. - $\left[ \begin{array} { r r r } 2 & - 1 & 0 \\- 1 & 1 & - 2 \\1 & 0 & - 1\end{array} \right] , \left[ \begin{array} { r r r } 1 & - 1 & 2 \\- 3 & - 2 & 4 \\- 1 & 1 & 1\end{array} \right]$

(True/False)

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Question 285

Find a row echelon form or a reduced row echelon form, as indicated, for the given matrix. -Find a reduced row echelon form for the matrix.

(Essay)

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Question 286

Determine the value of each variable. - $\left[ \begin{array} { r r } x + 3 & y + 4 \\ 7 & 8 \end{array} \right] = \left[ \begin{array} { l l } 6 & 9 \\ 7 & k \end{array} \right]$

(Multiple Choice)

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Question 287

Write a system of inequalities whose solution set is the region shown. -

(Multiple Choice)

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Question 288

Use division to write the rational function in the form q(x) + r(x)/d(x), where the degree of r(x) is less than the degree of d(x). Then find the partial fraction decomposition of r(x)/d(x). - $\frac { 4 x ^ { 3 } + 8 x ^ { 2 } + 5 x - 7 } { 2 x ^ { 2 } - x - 1 }$

(Multiple Choice)

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Question 289

Solve the system by substitution. - y-=-2x y=x+4

(Multiple Choice)

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Question 290

Solve the system of inequalities. - x+2y\leq2 x+y\geq0 $Solve the system of inequalities. - \begin{array}{r} x+2 y \leq 2 \\ x+y \geq 0 \end{array}$

(Multiple Choice)

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Question 291

Write a system of inequalities whose solution set is the region shown. -

(Multiple Choice)

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Question 292

Solve the system of equations by finding the reduced row echelon form for the augmented matrix. - x-y+3z =-18 5x+z =-5 x+5y+z =10

(Multiple Choice)

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Question 293

Find the partial fraction decomposition. - $\frac { 13 x - 46 } { x ^ { 2 } - 7 x + 12 }$

(Multiple Choice)

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Question 294

Write the system of equations associated with the augmented matrix. Do not solve. - $\left[ \begin{array} { r r r } 4 & 9 & 15 \\ 16 & 19 & 7 \end{array} \right]$

(Multiple Choice)

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Question 295

Solve the system of inequalities. - 2x+y \leq12 x+3y \leq9 x \geq0 y \geq0 $Solve the system of inequalities. - \begin{aligned} 2 x+y & \leq 12 \\ x+3 y & \leq 9 \\ x & \geq 0 \\ y & \geq 0 \end{aligned}$

(Multiple Choice)

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Question 296

Solve the problem. -The total number of cars sold at a used car lot for the years 1996 and 1997 was 592. The number of cars sold in 1997 was 3 times the number of cars sold in 1996. How many cars were sold in 1997?

(Multiple Choice)

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Question 297

Perform the indicated elementary row operations. - (-10)+ 3 -1 10 -3

(Multiple Choice)

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Question 298

Find the indicated matrix. -Let $A = \left[ \begin{array} { r r } - 3 & 5 \\ 0 & 2 \end{array} \right]$ . Find $3 A$ .

(Multiple Choice)

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Question 299

Solve the system by elimination. -6x - 44 = 8y 4x - 6y = 30

(Multiple Choice)

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Question 300

Graph the inequality. - $y \geq|x+6|$ $Graph the inequality. - y \geq|x+6|$

Solve the system of equations by finding the reduced row echelon form for the augmented matrix. - 2x+6y+10z=170 x+3y+5z=-34 x+y+z=-5

Solve the system by substitution. - x-=0 x-25=0

Determine whether the matrices are inverses. - $\left[ \begin{array} { r r r } 2 & - 1 & 0 \\- 1 & 1 & - 2 \\1 & 0 & - 1\end{array} \right] , \left[ \begin{array} { r r r } 1 & - 1 & 2 \\- 3 & - 2 & 4 \\- 1 & 1 & 1\end{array} \right]$

Find a row echelon form or a reduced row echelon form, as indicated, for the given matrix. -Find a reduced row echelon form for the matrix.

Determine the value of each variable. - $\left[ \begin{array} { r r } x + 3 & y + 4 \\ 7 & 8 \end{array} \right] = \left[ \begin{array} { l l } 6 & 9 \\ 7 & k \end{array} \right]$

Write a system of inequalities whose solution set is the region shown. -

Use division to write the rational function in the form q(x) + r(x)/d(x), where the degree of r(x) is less than the degree of d(x). Then find the partial fraction decomposition of r(x)/d(x). - $\frac { 4 x ^ { 3 } + 8 x ^ { 2 } + 5 x - 7 } { 2 x ^ { 2 } - x - 1 }$

Solve the system by substitution. - y-=-2x y=x+4

Solve the system of inequalities. - x+2y\leq2 x+y\geq0 $Solve the system of inequalities. - \begin{array}{r} x+2 y \leq 2 \\ x+y \geq 0 \end{array}$

Write a system of inequalities whose solution set is the region shown. -

Solve the system of equations by finding the reduced row echelon form for the augmented matrix. - x-y+3z =-18 5x+z =-5 x+5y+z =10

Find the partial fraction decomposition. - $\frac { 13 x - 46 } { x ^ { 2 } - 7 x + 12 }$

Write the system of equations associated with the augmented matrix. Do not solve. - $\left[ \begin{array} { r r r } 4 & 9 & 15 \\ 16 & 19 & 7 \end{array} \right]$

Solve the system of inequalities. - 2x+y \leq12 x+3y \leq9 x \geq0 y \geq0 $Solve the system of inequalities. - \begin{aligned} 2 x+y & \leq 12 \\ x+3 y & \leq 9 \\ x & \geq 0 \\ y & \geq 0 \end{aligned}$

Solve the problem. -The total number of cars sold at a used car lot for the years 1996 and 1997 was 592. The number of cars sold in 1997 was 3 times the number of cars sold in 1996. How many cars were sold in 1997?

Perform the indicated elementary row operations. - (-10)+ 3 -1 10 -3

Find the indicated matrix. -Let $A = \left[ \begin{array} { r r } - 3 & 5 \\ 0 & 2 \end{array} \right]$ . Find $3 A$ .

Solve the system by elimination. -6x - 44 = 8y 4x - 6y = 30

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

Statistics and Probability

An Introduction to Calculus: Limits, Derivatives, and Integrals

Prerequisites

Filters

Exam 7: Systems and Matrices

Graph the inequality. - y≥∣x+6∣y \geq|x+6|y≥∣x+6∣

Solve the system of equations by finding the reduced row echelon form for the augmented matrix. - 2x+6y+10z=170 x+3y+5z=-34 x+y+z=-5

Solve the system by substitution. - x-=0 x-25=0

Find a row echelon form or a reduced row echelon form, as indicated, for the given matrix. -Find a reduced row echelon form for the matrix.

Determine the value of each variable. - [x+3y+478]=[697k]\left[ \begin{array} { r r } x + 3 & y + 4 \\ 7 & 8 \end{array} \right] = \left[ \begin{array} { l l } 6 & 9 \\ 7 & k \end{array} \right][x+37​y+48​]=[67​9k​]

Write a system of inequalities whose solution set is the region shown. -

Solve the system by substitution. - y-=-2x y=x+4

Solve the system of inequalities. - x+2y\leq2 x+y\geq0

Write a system of inequalities whose solution set is the region shown. -

Solve the system of equations by finding the reduced row echelon form for the augmented matrix. - x-y+3z =-18 5x+z =-5 x+5y+z =10

Find the partial fraction decomposition. - 13x−46x2−7x+12\frac { 13 x - 46 } { x ^ { 2 } - 7 x + 12 }x2−7x+1213x−46​

Write the system of equations associated with the augmented matrix. Do not solve. - [491516197]\left[ \begin{array} { r r r } 4 & 9 & 15 \\ 16 & 19 & 7 \end{array} \right][416​919​157​]

Solve the system of inequalities. - 2x+y \leq12 x+3y \leq9 x \geq0 y \geq0

Solve the problem. -The total number of cars sold at a used car lot for the years 1996 and 1997 was 592. The number of cars sold in 1997 was 3 times the number of cars sold in 1996. How many cars were sold in 1997?

Perform the indicated elementary row operations. - (-10)+ 3 -1 10 -3

Find the indicated matrix. -Let A=[−3502]A = \left[ \begin{array} { r r } - 3 & 5 \\ 0 & 2 \end{array} \right]A=[−30​52​] . Find 3A3 A3A .

Solve the system by elimination. -6x - 44 = 8y 4x - 6y = 30

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

Statistics and Probability

An Introduction to Calculus: Limits, Derivatives, and Integrals

Prerequisites

Filters

Graph the inequality. - $y \geq|x+6|$ $Graph the inequality. - y \geq|x+6|$

Determine the value of each variable. - $\left[ \begin{array} { r r } x + 3 & y + 4 \\ 7 & 8 \end{array} \right] = \left[ \begin{array} { l l } 6 & 9 \\ 7 & k \end{array} \right]$

Solve the system of inequalities. - x+2y\leq2 x+y\geq0 $Solve the system of inequalities. - \begin{array}{r} x+2 y \leq 2 \\ x+y \geq 0 \end{array}$

Find the partial fraction decomposition. - $\frac { 13 x - 46 } { x ^ { 2 } - 7 x + 12 }$

Write the system of equations associated with the augmented matrix. Do not solve. - $\left[ \begin{array} { r r r } 4 & 9 & 15 \\ 16 & 19 & 7 \end{array} \right]$

Solve the system of inequalities. - 2x+y \leq12 x+3y \leq9 x \geq0 y \geq0 $Solve the system of inequalities. - \begin{aligned} 2 x+y & \leq 12 \\ x+3 y & \leq 9 \\ x & \geq 0 \\ y & \geq 0 \end{aligned}$

Find the indicated matrix. -Let $A = \left[ \begin{array} { r r } - 3 & 5 \\ 0 & 2 \end{array} \right]$ . Find $3 A$ .