Solve the system graphically. -\[\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 13.85 \\ x = 3 y = 1 \end{array}\]

A) $\approx ( 3.42,1.47 )$ and $\approx ( - 3.62 , - 0.87 )$ B) $\approx ( - 3.41 , - 1.47 )$ and $\approx ( 3.62,0.87 )$ C) $\approx ( 1.47,3.42 )$ and $\approx ( - 0.87 , - 3.62 )$ D) $\approx ( - 11.26 , - 3.42 )$ and $\approx ( 11.06,4.02 )$ A) $\approx ( 3.42,1.47 )$ and $\approx ( - 3.62 , - 0.87 )$ B) $\approx ( - 3.41 , - 1.47 )$ and $\approx ( 3.62,0.87 )$ C) $\approx ( 1.47,3.42 )$ and $\approx ( - 0.87 , - 3.62 )$ D) $\approx ( - 11.26 , - 3.42 )$ and $\approx ( 11.06,4.02 )$

Perform the indicated elementary row operations. -$\begin{array}{l} (-6) R_{3}+R_{1} \\ {\left[\begin{array}{rrr} 5 & -1 & 6 \\ 0 & 8 & -4 \\ 7 & -10 & -2 \end{array}\right]} \end{array}$

A) $\left[\begin{array}{rrr} -31 & -1 & 6 \\ 24 & 8 & -4 \\ 19 & -10 & -2 \end{array}\right]$ B) $\left[\begin{array}{rrr} 47 & -61 & -6 \\ 0 & 8 & -4 \\ 7 & -10 & -2 \end{array}\right]$ C) $\left[\begin{array}{rrr} -37 & 59 & 18 \\ 0 & 8 & -4 \\ 7 & -10 & -2 \end{array}\right]$ D) $\left[\begin{array}{rrr} 5 & -1 & 6 \\ 0 & 8 & -4 \\ -23 & -4 & -38 \end{array}\right]$ A) $\left[\begin{array}{rrr} -31 & -1 & 6 \\ 24 & 8 & -4 \\ 19 & -10 & -2 \end{array}\right]$ B) $\left[\begin{array}{rrr} 47 & -61 & -6 \\ 0 & 8 & -4 \\ 7 & -10 & -2 \end{array}\right]$ C) $\left[\begin{array}{rrr} -37 & 59 & 18 \\ 0 & 8 & -4 \\ 7 & -10 & -2 \end{array}\right]$ D) $\left[\begin{array}{rrr} 5 & -1 & 6 \\ 0 & 8 & -4 \\ -23 & -4 & -38 \end{array}\right]$

Use a graph to determine the number of solutions the system has. -\[\begin{array} { l } 6 x - 9 y = 6 \\ - 10 x + 15 y = - 10 \end{array}\]

A) One solution B) No solution C) Infinitely many solutions A) One solution B) No solution C) Infinitely many solutions

Exam 7: Systems and Matrices

Identify the element specified for the matrix. - $\left[ \begin{array} { r r r r r } - 3 & 1 & - 5 & 8 & 0 \\- 6 & 6 & - 6 & - 8 & 7 \\4 & 0 & - 1 & - 2 & 3 \\- 7 & - 1 & - 1 & 9 & 1\end{array} \right]$ a 42

(Multiple Choice)

4.8/5

(42)

Question 341

Solve the system by elimination. --7x - 4y = -12 -3x - 2y = -6

(Multiple Choice)

4.7/5

(32)

Question 342

Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the matrix product AB, and interpret the significance of the entries of this product. -

(Multiple Choice)

4.9/5

(40)

Question 343

Solve the system graphically. - +=13.85 x=3y=1

(Multiple Choice)

4.8/5

(29)

Question 344

Perform the indicated elementary row operations. - (-6)+ 5 -1 6 0 8 -4 7 -10 -2

(Multiple Choice)

4.8/5

(33)

Question 345

Solve the problem. -A $\$ 112,000$ trust is to be invested in bonds paying $6 \%$ , CDs paying $5 \%$ , and mortgages paying $9 \%$ . The bond and $\mathrm { CD }$ investment must equal the mortgage investment. To earn an $\$ 8010$ annual income from the investments, how much should the bank invest in bonds?

(Multiple Choice)

4.8/5

(38)

Question 346

Solve the problem. -A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. If 100 black, 110 white and 80 red wires were used, how Many of each type cable were made?

(Multiple Choice)

4.8/5

(44)

Question 347

Solve the problem. -The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 2 man-hours to make one SST ring. How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $\$ 40$ and on an SST ring is $\$ 35$ ?

(Multiple Choice)

4.7/5

(32)

Question 348

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

(Essay)

4.9/5

(36)

Question 349

Solve the problem. -A theatre sells two types of tickets to their plays; children's tickets and adult tickets. For today's performance they have sold a total of 900 tickets. Also, they have sold 4 times as many children's tickets as adult tickets. How Many children's tickets have they sold?

(Multiple Choice)

4.9/5

(45)

Question 350

Find the inverse of A if it has one, or state that the inverse does not exist. - $A = \left[ \begin{array} { l l l } 1 & 1 & 1 \\2 & 1 & 1 \\2 & 2 & 3\end{array} \right]$

(Multiple Choice)

4.8/5

(35)

Question 351

Use a graph to determine the number of solutions the system has. - 6x-9y=6 -10x+15y=-10

(Multiple Choice)

4.7/5

(44)

Question 352

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

(Essay)

4.8/5

(45)

Question 353

Perform the indicated operation, if possible. - $\left[ \begin{array} { r r } - 1 & 4 \\0 & 4 \\8 & - 4\end{array} \right] - \left[ \begin{array} { l l } 2 & 1 \\7 & 4 \\1 & 2\end{array} \right]$

(Multiple Choice)

4.8/5

(38)

Question 354

Identify the element specified for the matrix. - $\left[ \begin{array} { r r r r r } - 3 & 1 & - 5 & 8 & 0 \\- 6 & 6 & - 6 & - 8 & 7 \\4 & 0 & - 1 & - 2 & 3 \\- 7 & - 1 & - 1 & 9 & 1\end{array} \right]$ a 42

Solve the system by elimination. --7x - 4y = -12 -3x - 2y = -6

Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the matrix product AB, and interpret the significance of the entries of this product. -

Solve the system graphically. - +=13.85 x=3y=1

Perform the indicated elementary row operations. - (-6)+ 5 -1 6 0 8 -4 7 -10 -2

Solve the problem. -A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. If 100 black, 110 white and 80 red wires were used, how Many of each type cable were made?

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

Solve the problem. -A theatre sells two types of tickets to their plays; children's tickets and adult tickets. For today's performance they have sold a total of 900 tickets. Also, they have sold 4 times as many children's tickets as adult tickets. How Many children's tickets have they sold?

Find the inverse of A if it has one, or state that the inverse does not exist. - $A = \left[ \begin{array} { l l l } 1 & 1 & 1 \\2 & 1 & 1 \\2 & 2 & 3\end{array} \right]$

Use a graph to determine the number of solutions the system has. - 6x-9y=6 -10x+15y=-10

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

Perform the indicated operation, if possible. - $\left[ \begin{array} { r r } - 1 & 4 \\0 & 4 \\8 & - 4\end{array} \right] - \left[ \begin{array} { l l } 2 & 1 \\7 & 4 \\1 & 2\end{array} \right]$

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

Solve the system by elimination. --7x - 4y = -12 -3x - 2y = -6

Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the matrix product AB, and interpret the significance of the entries of this product. -

Solve the system graphically. - +=13.85 x=3y=1

Perform the indicated elementary row operations. - (-6)+ 5 -1 6 0 8 -4 7 -10 -2

Solve the problem. -A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. If 100 black, 110 white and 80 red wires were used, how Many of each type cable were made?

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

Solve the problem. -A theatre sells two types of tickets to their plays; children's tickets and adult tickets. For today's performance they have sold a total of 900 tickets. Also, they have sold 4 times as many children's tickets as adult tickets. How Many children's tickets have they sold?

Find the inverse of A if it has one, or state that the inverse does not exist. - A=[111211223]A = \left[ \begin{array} { l l l } 1 & 1 & 1 \\2 & 1 & 1 \\2 & 2 & 3\end{array} \right]A=​122​112​113​​

Use a graph to determine the number of solutions the system has. - 6x-9y=6 -10x+15y=-10

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

Perform the indicated operation, if possible. - [−14048−4]−[217412]\left[ \begin{array} { r r } - 1 & 4 \\0 & 4 \\8 & - 4\end{array} \right] - \left[ \begin{array} { l l } 2 & 1 \\7 & 4 \\1 & 2\end{array} \right]​−108​44−4​​−​271​142​​

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

Find the inverse of A if it has one, or state that the inverse does not exist. - $A = \left[ \begin{array} { l l l } 1 & 1 & 1 \\2 & 1 & 1 \\2 & 2 & 3\end{array} \right]$

Perform the indicated operation, if possible. - $\left[ \begin{array} { r r } - 1 & 4 \\0 & 4 \\8 & - 4\end{array} \right] - \left[ \begin{array} { l l } 2 & 1 \\7 & 4 \\1 & 2\end{array} \right]$