Solve the system by the addition method. -\[\begin{array} { c } 2 \mathrm { x } + 10 \mathrm { y } = - 56 \\ 10 \mathrm { x } + 2 \mathrm { y } = 56 \end{array}\]

A) $\{ ( 7 , - 7 ) \}$ B) $\{ ( - 7,7 ) \}$ C) $\{ ( 10 , - 10 ) \}$ D) $\{ ( - 2,7 ) \}$ A) $\{ ( 7 , - 7 ) \}$ B) $\{ ( - 7,7 ) \}$ C) $\{ ( 10 , - 10 ) \}$ D) $\{ ( - 2,7 ) \}$

Solve the system by the addition method. -\[\begin{array} { l } 6 x + 5 y = 95 \\ 6 x + 2 y = 110 \end{array}\]

A) $\{ ( 20 , - 5 ) \}$ B) $\{ ( - 20,6 ) \}$ C) $\{ ( - 20,5 ) \}$ D) $\{ ( - 5,20 ) \}$ A) $\{ ( 20 , - 5 ) \}$ B) $\{ ( - 20,6 ) \}$ C) $\{ ( - 20,5 ) \}$ D) $\{ ( - 5,20 ) \}$

Solve the system by the substitution method. -\[\begin{array} { l } y = x + 3 \\ y ^ { 2 } = 12 x \end{array}\]

A) $\{ ( 3,6 ) \}$ B) $\{ ( 3,6 ) , ( - 3,0 ) \}$ C) $\{ ( 3,6 ) , ( 3 , - 6 ) \}$ D) $\{ ( 3,6 ) , ( 3 , - 6 ) , ( - 3,0 ) \}$ A) $\{ ( 3,6 ) \}$ B) $\{ ( 3,6 ) , ( - 3,0 ) \}$ C) $\{ ( 3,6 ) , ( 3 , - 6 ) \}$ D) $\{ ( 3,6 ) , ( 3 , - 6 ) , ( - 3,0 ) \}$

Solve the system by the substitution method. -\[\begin{array} { l } 2 x ^ { 2 } + 4 y ^ { 2 } = 36 \\ y = x + 3 \end{array}\]

A) $\{ ( 0,3 ) , ( - 4 , - 1 ) \}$ B) $\{ ( 0 , - 3 ) , ( - 4 , - 1 ) \}$ C) $\{ [ 0,3 ) , ( 4,7 ) \}$ D) $\{ ( 0 , - 3 ) , ( 4,7 ) \}$ A) $\{ ( 0,3 ) , ( - 4 , - 1 ) \}$ B) $\{ ( 0 , - 3 ) , ( - 4 , - 1 ) \}$ C) $\{ [ 0,3 ) , ( 4,7 ) \}$ D) $\{ ( 0 , - 3 ) , ( 4,7 ) \}$

Solve the system by the addition method. -\[\begin{array} { r } 5 x + 2 y = - - 1 \\ - 5 x - 5 y = 5 \end{array}\]

A) $\{ ( 1 , - 2 ) \}$ B) $\{ ( - 1,2 ) \}$ C) $\{ ( - 1 , - 2 ) \}$ D) $\varnothing$ A) $\{ ( 1 , - 2 ) \}$ B) $\{ ( - 1,2 ) \}$ C) $\{ ( - 1 , - 2 ) \}$ D) $\varnothing$

Exam 5: Systems of Equations and Inequalities

Decide if the system of equations in two variables is linear or nonlinear. - $\left\{ \begin{array} { l } x ^ { 2 } = 4 y + 2 \\7 x - y = 3\end{array} \right.$

(Multiple Choice)

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Question 181

Decide if the system of equations in two variables is linear or nonlinear. - $\left\{ \begin{array} { l } x ^ { 3 } + 2 x = y \\x + 7 y = 4\end{array} \right.$

(Multiple Choice)

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Question 182

Decompose P/Q, Where Q Has a Prime, Repeated Quadratic Factor Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants. - $\frac { 6 x ^ { 3 } - 5 x ^ { 2 } + 14 x - 19 } { \left( x ^ { 2 } + 3 \right) ^ { 3 } }$

(Multiple Choice)

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Question 183

An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs. - Objective Function z=7x+6y Constraints x\geq0 y\geq0 3x+y\leq21 x+y\leq10 x+2y\geq12

(Multiple Choice)

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Question 184

Graph the solution set of the system of inequalities or indicate that the system has no solution. - y\geq1 2\leqx\leq6 x-2y\geq-2 x+y\leq6 $Graph the solution set of the system of inequalities or indicate that the system has no solution. - \begin{array}{l} y \geq 1 \\ 2 \leq x \leq 6 \\ x-2 y \geq-2 \\ x+y \leq 6 \end{array}$

(Multiple Choice)

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Question 185

Solve the system by the addition method. - 2+10=-56 10+2=56

(Multiple Choice)

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Question 186

Solve the problem. -The Family Fine Arts Center charges $22 per adult and $14 per senior citizen for its performances. On a recent weekend evening when 507 people paid admission, the total receipts were $8098. How many who Paid were senior citizens?

(Multiple Choice)

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Question 187

Solve the problem. -A system for tracking ships indicated that a ship lies on a hyperbolic path described by $5 x ^ { 2 } - y ^ { 2 } = 31$ . The process is repeated and the ship is found to lie on a hyperbolic path described by $y ^ { 2 } - 3 x ^ { 2 } = 1$ . If it is known that the ship is located in the first quadrant of the coordinate system, determine its exact location.

(Multiple Choice)

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Question 188

Solve the problem. -As the price of a product increases, the demand for that product decreases. However, at higher prices, suppliers are willing to produce greater quantities of the product. The weekly supply and demand models For a certain type of television are as follows: Demand: $\mathrm { N } = - 6 \mathrm { p } + 730$ Supply: $\quad N = 2.4 p$ where $\mathrm { p }$ is the price in dollars per television. Find the price at which supply and demand are equal. At this price, how many televisions can be supplied and sold each week?

(Multiple Choice)

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Question 189

Solve the system by the addition method. - 6x+5y=95 6x+2y=110

(Multiple Choice)

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Question 190

Graph the solution set of the system of inequalities or indicate that the system has no solution. - +\leq9 +\geq1 $Graph the solution set of the system of inequalities or indicate that the system has no solution. - \begin{array}{l} x^{2}+y^{2} \leq 9 \\ x^{2}+y^{2} \geq 1 \end{array}$

(Multiple Choice)

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Question 191

Graph the solution set of the system of inequalities or indicate that the system has no solution. - (x-5+(y+1>16 (x-5+(y+1<36 $Graph the solution set of the system of inequalities or indicate that the system has no solution. - \begin{array}{l} (x-5)^{2}+(y+1)^{2}>16 \\ (x-5)^{2}+(y+1)^{2}<36 \end{array}$

(Multiple Choice)

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Question 192

Solve the system by the substitution method. - y=x+3 =12x

(Multiple Choice)

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Question 193

Solve the problem. -A steel company produces two types of machine dies, part A and part B and is bound by the following constraints: · Part A requires 1 hour of casting time and 10 hours of firing time. · Part B requires 4 hours of casting time and 3 hours of firing time. · The maximum number of hours per week available for casting and firing are 100 and 70, respectively. · The cost to the company is $0.75 per part A and $3.00 per part B. Total weekly costs cannot exceed $45.00. Let x = the number of part A produced in a week and y = the number of part B produced in a week. Write A system of three inequalities that describes these constraints.

(Multiple Choice)

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Question 194

Solve the problem. -The following is known about three numbers: If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 3. The third number plus 4 times the first number is 4. The first number plus 3 times the second number plus the third number is 19. Find the three numbers. [Hint: let x represent the first number, y the second number, and z the third number. Use the given Conditions to write and solve a system of equations.]

(Multiple Choice)

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Question 195

Solve the system by the substitution method. - 2+4=36 y=x+3

(Multiple Choice)

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Question 196

Solve the system by the addition method. - 5x+2y=--1 -5x-5y=5

(Multiple Choice)

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Question 197

Graph the solution set of the system of inequalities or indicate that the system has no solution. - +\leq81 -7x+7y\leq-49 $Graph the solution set of the system of inequalities or indicate that the system has no solution. - \begin{array} { l } x ^ { 2 } + y ^ { 2 } \leq 81 \\ - 7 x + 7 y \leq - 49 \end{array}$

(Multiple Choice)

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Question 198

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. - y=6x+1 -24x+4y=4

(Multiple Choice)

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Question 199

Solve Problems Using Systems of Nonlinear Equations Let x represent one number and let y represent the other number. Use the given conditions to write a system of nonlinear equations. Solve the system and find the numbers. -The sum of two squares of two numbers is 20, and the difference of their squares is 12. Find the numbers.

(Multiple Choice)

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Question 200

Showing 181 - 200 of 287

Decide if the system of equations in two variables is linear or nonlinear. - $\left\{ \begin{array} { l } x ^ { 2 } = 4 y + 2 \\7 x - y = 3\end{array} \right.$

Decide if the system of equations in two variables is linear or nonlinear. - $\left\{ \begin{array} { l } x ^ { 3 } + 2 x = y \\x + 7 y = 4\end{array} \right.$

Decompose P/Q, Where Q Has a Prime, Repeated Quadratic Factor Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants. - $\frac { 6 x ^ { 3 } - 5 x ^ { 2 } + 14 x - 19 } { \left( x ^ { 2 } + 3 \right) ^ { 3 } }$

Solve the system by the addition method. - 2+10=-56 10+2=56

Solve the problem. -The Family Fine Arts Center charges $22 per adult and $14 per senior citizen for its performances. On a recent weekend evening when 507 people paid admission, the total receipts were $8098. How many who Paid were senior citizens?

Solve the system by the addition method. - 6x+5y=95 6x+2y=110

Graph the solution set of the system of inequalities or indicate that the system has no solution. - +\leq9 +\geq1 $Graph the solution set of the system of inequalities or indicate that the system has no solution. - \begin{array}{l} x^{2}+y^{2} \leq 9 \\ x^{2}+y^{2} \geq 1 \end{array}$

Solve the system by the substitution method. - y=x+3 =12x

Solve the system by the substitution method. - 2+4=36 y=x+3

Solve the system by the addition method. - 5x+2y=--1 -5x-5y=5

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. - y=6x+1 -24x+4y=4

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Matrices and Determinants

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Exam 5: Systems of Equations and Inequalities

Decide if the system of equations in two variables is linear or nonlinear. - {x2=4y+27x−y=3\left\{ \begin{array} { l } x ^ { 2 } = 4 y + 2 \\7 x - y = 3\end{array} \right.{x2=4y+27x−y=3​

Decide if the system of equations in two variables is linear or nonlinear. - {x3+2x=yx+7y=4\left\{ \begin{array} { l } x ^ { 3 } + 2 x = y \\x + 7 y = 4\end{array} \right.{x3+2x=yx+7y=4​

Graph the solution set of the system of inequalities or indicate that the system has no solution. - y\geq1 2\leqx\leq6 x-2y\geq-2 x+y\leq6

Solve the system by the addition method. - 2+10=-56 10+2=56

Solve the problem. -The Family Fine Arts Center charges $22 per adult and $14 per senior citizen for its performances. On a recent weekend evening when 507 people paid admission, the total receipts were $8098. How many who Paid were senior citizens?

Solve the system by the addition method. - 6x+5y=95 6x+2y=110

Graph the solution set of the system of inequalities or indicate that the system has no solution. - +\leq9 +\geq1

Graph the solution set of the system of inequalities or indicate that the system has no solution. - (x-5+(y+1>16 (x-5+(y+1<36

Solve the system by the substitution method. - y=x+3 =12x

Solve the system by the substitution method. - 2+4=36 y=x+3

Solve the system by the addition method. - 5x+2y=--1 -5x-5y=5

Graph the solution set of the system of inequalities or indicate that the system has no solution. - +\leq81 -7x+7y\leq-49

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. - y=6x+1 -24x+4y=4

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Matrices and Determinants

Conic Sections

Sequences, Induction, and Probability

Filters

Decide if the system of equations in two variables is linear or nonlinear. - $\left\{ \begin{array} { l } x ^ { 2 } = 4 y + 2 \\7 x - y = 3\end{array} \right.$

Decide if the system of equations in two variables is linear or nonlinear. - $\left\{ \begin{array} { l } x ^ { 3 } + 2 x = y \\x + 7 y = 4\end{array} \right.$

Graph the solution set of the system of inequalities or indicate that the system has no solution. - +\leq9 +\geq1 $Graph the solution set of the system of inequalities or indicate that the system has no solution. - \begin{array}{l} x^{2}+y^{2} \leq 9 \\ x^{2}+y^{2} \geq 1 \end{array}$