Question 1

Compute the product. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 2

Solve the linear system of equations ​   ​

Accepted Answer

A)  Unique solution:   
B)  Unique solution:   
C)  Infinitely many solutions;   
D)  No solution 
A)  Unique solution:   
B)  Unique solution:   
C)  Infinitely many solutions;   
D)  No solution

Question 3

A simple economy consists of two industries: agriculture and manufacturing. The production of 1 unit of agricultural products requires the consumption of 0.2 unit of agricultural products and 0.1 unit of manufactured goods. The production of 1 unit of manufactured products requires the consumption of 0.3 unit of agricultural products and 0.3 unit of manufactured goods. ​
Find the gross output of goods if the consumer demand for the output of agricultural goods and the consumer demand for manufactured products are $120 million and $130 million, respectively. Round answers to two decimal places.
​

Accepted Answer

A)  $186.76 million and $218.87 million worth of agricultural goods and manufactured products respectively 
B)  $232.08 million and $218.87 million worth of agricultural goods and manufactured products respectively 
C)  $186.76 million and $262.56 million worth of agricultural goods and manufactured products respectively 
D)  $232.08 million and $262.56 million worth of agricultural goods and manufactured products respectively 
A)  $186.76 million and $218.87 million worth of agricultural goods and manufactured products respectively 
B)  $232.08 million and $218.87 million worth of agricultural goods and manufactured products respectively 
C)  $186.76 million and $262.56 million worth of agricultural goods and manufactured products respectively 
D)  $232.08 million and $262.56 million worth of agricultural goods and manufactured products respectively

Question 4

Perform the subtraction.

Accepted Answer

The answer of Perform the subtraction.  ...

Question 5

Find the transpose of the given matrix.

Accepted Answer

The answer of Find the transpose of the given matrix....

Question 6

Determine the value of k for which the system of linear equations has no solution.
​   ​
k = __________

Accepted Answer

The answer of Determine the value of k for which...

Question 7

A dietitian wishes to plan a meal around three foods. The percentage of the daily requirements of proteins, carbohydrates, and iron contained in each ounce of the three foods is summarized in the accompanying table.   Determine how many ounces of each food the dietitian should include in the meal to meet exactly the daily requirement of proteins, carbohydrates, and iron (100% of each).
__________ ounces of Food I
__________ ounces of Food II
__________ ounces of Food III

Accepted Answer

The answer of A dietitian wishes to plan a meal...

Question 8

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.

Accepted Answer

The answer of Determine whether the system of linear equations...

Question 9

Solve the system of linear equations, using the Gauss-Jordan elimination method.

Accepted Answer

A)    
B)    
C)    
D)    
E)  no solution 
A)    
B)    
C)    
D)    
E)  no solution

Question 10

Solve the system of linear equations, using the Gauss-Jordan elimination method. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)  No solution 
A)    
B)    
C)    
D)    
E)  No solution

Question 11

Determine the value of k for which the system of linear equations has infinitely many solutions. Then find all solutions corresponding to this value of k. ​   ​

Accepted Answer

A)    . The solutions are   
B)    . The solutions are   
C)    . The solutions are   
D)    . The solutions are   
A)    . The solutions are   
B)    . The solutions are   
C)    . The solutions are   
D)    . The solutions are

Question 12

Perform the subtraction.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

The total number of passengers riding a certain city bus during the morning shift is 900. If the child's fare is $.15, the adult fare is $.80, and the total revenue from the fares in the morning shift is 460, how many children and how many adults rode the bus during the morning shift?
​
__________ children
​
__________ adults

Accepted Answer

The answer of The total number of passengers riding a...

Compute the product.

Solve the linear system of equations

Perform the subtraction.

Find the transpose of the given matrix.

Determine the value of k for which the system of linear equations has no solution. k = __________

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.

Solve the system of linear equations, using the Gauss-Jordan elimination method.

Solve the system of linear equations, using the Gauss-Jordan elimination method.

Determine the value of k for which the system of linear equations has infinitely many solutions. Then find all solutions corresponding to this value of k.

Perform the subtraction.

Straight Lines and Linear Functions

Linear Programming: a Geometric Approach

Linear Programming: an Algebraic Approach

Mathematics of Finance

Sets and Counting

Probability

Probability Distributions and Statistics

Markov Chains and the Theory of Games

Filters

Exam 2: Systems of Linear Equations and Matrices

Compute the product. ​ ​

Solve the linear system of equations ​ ​

Perform the subtraction.

Find the transpose of the given matrix.

Determine the value of k for which the system of linear equations has no solution. ​ ​ k = __________

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.

Solve the system of linear equations, using the Gauss-Jordan elimination method.

Solve the system of linear equations, using the Gauss-Jordan elimination method. ​ ​

Determine the value of k for which the system of linear equations has infinitely many solutions. Then find all solutions corresponding to this value of k. ​ ​

Perform the subtraction.

Straight Lines and Linear Functions

Linear Programming: a Geometric Approach

Linear Programming: an Algebraic Approach

Mathematics of Finance

Sets and Counting

Probability

Probability Distributions and Statistics

Markov Chains and the Theory of Games

Filters

Compute the product.

Solve the linear system of equations

Determine the value of k for which the system of linear equations has no solution. k = __________

Solve the system of linear equations, using the Gauss-Jordan elimination method.

Determine the value of k for which the system of linear equations has infinitely many solutions. Then find all solutions corresponding to this value of k.