Solve the system by substitution.x = 3y + 7y = x - 5
A. (-4, -1)
B. (-4, 1)
C. (4, -1)
D. (4, 1)
Answer: C
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Solve the problem.The figure shown here shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 8 units long. Express the area A of the rectangle in terms of x.
A. A(x) = 2x(x - 4) B. A(x) = 2x2 C. A(x) = 2x(4 - x) D. A(x) = x(4 - x)
Write a system of three inequalities that describe the constraints in the problem.An office manager is buying used filing cabinets. Small file cabinets cost $4 each and large file cabinets cost $11 each, and the manager cannot spend more than $57 on file cabinets. A small cabinet takes up 6 square feet of floor space and a large cabinet takes up 9 square feet, and the office has no more than 63 square feet of floor space available for file cabinets. The manager must buy at least 6 file cabinets in order to get free delivery. Let x = the number of small file cabinets bought and y = the number of large file cabinets bought.
A. 4x + 11y ? 57; 9x + 6y ? 63; x ? 6 B. 4x + 11y ? 57; 6x + 9y ? 63; x + y ? 6 C. 4x + 11y ? 57; 6x + 9y ? 63; x + y ? 6 D. 4x + 11y ? 57; 6x + 9y ? 63; y ? 6
Graph.f(x) = - 
x
A. 
B. 
C. 
D. 
Solve the problem.Barbara knows that she will need to buy a new car in 6 years. The car will cost $15,000 by then. How much should she invest now at 8%, compounded quarterly, so that she will have enough to buy a new car? Round to the nearest cent.
A. $9325.82 B. $11,854.72 C. $8752.36 D. $10,208.75