Perform the indicated operation(s). Simplify if possible.
+ 
A. 
B. 
C. 
D. 
Answer: B
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Use Venn diagrams to determine whether the following statements are equal for all sets A and B.B ? (A ? C), (B ? A) ? (B ? C)
A. equal B. not equal
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
Solve the quadratic inequality by graphing an appropriate quadratic function.x2 - 8x + 7 ? 0
A. (-?, 1] ? [7, ?) B. [1, 7] C. [7, ?) D. (-?, 1]
Find the vertices and locate the foci for the hyperbola whose equation is given.y = ± 
A. vertices: (-
, 0), (
, 0)
foci: (-2
, 0), (2
, 0)
B. vertices: (0, -
), (0, 
)
foci: (0, -2
), (0, 2
)
C. vertices: (-6, 0), (6, 0)
foci: (-
, 0), (
, 0)
D. vertices: (-6, 0), (6, 0)
foci: (-2
, 0), (2
, 0)