Exam 8: Systems of Equations and Inequalities

Find the maximum or minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of feasible points. -z = -7x - y. Find maximum.

Solve the system of equations by substitution. -

Write a system of linear inequalities that has the given graph. -

Solve the system of equations. -

Solve the system of equations using substitution. -

Solve the system of equations. If the system has no solution, say that it is inconsistent. -

Solve the system of equations. -

Determine whether the system corresponding to the given augmented matrix is consistent or inconsistent. If it is consistent, give the solution. -

Graph the system of inequalities. -

Graph the system of inequalities. -

Write the word or phrase that best completes each statement or answers the question. -

Graph the system of inequalities. -

Write the word or phrase that best completes each statement or answers the question. -A boat on a river goes 77 miles downstream in 2 hours and 45 minutes. The return trip takes 3 hours and30 minutes. If the boatʹs speed is the same in each direction, find the speed of the boat and the speed of thecurrent.

Find the value of the determinant. -

Write the word or phrase that best completes each statement or answers the question. -Lexie wants to have an income of $9000 per year from investments. To that end she is going to invest$90,000 in three different accounts. These accounts pay 7%, 10%, and 14% simple interest. If she wants tohave $10,000 more in the account paying 7% simple interest than she has in the account paying 14% simpleinterest, how much should go into each account?

Use the properties of determinants to find the value of the second determinant, given the value of the first. -

Write the word or phrase that best completes each statement or answers the question. -The perimeter of a parking lot is 500 yards. Find the dimensions of the lot if the length is 50 yards morethan three times the width.

Write the word or phrase that best completes each statement or answers the question. -Jenny receives $1270 per year from three different investments totaling $20,000. One of the investmentspays 6%, the second one pays 8%, and the third one pays 5%. If the money invested at 8% is $1500 lessthan the amount invested at 5%, how much money has Jenny invested in the investment that pays 6%?

Find the maximum or minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of feasible points. -z = x + 6y + 7. Find minimum.

Encode or decode the given message, as requested, numbering the letters of the alphabet 1 through 26 in their usual order. -Use the coding matrix to encode the message CARE.