Simplify the expression by rationalizing the denominator.
A. 
B. 
C. 
D. 1
Answer: A
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Solve the problem using inductive reasoning.When the numbers in the sequence of n-agonal numbers are divided by n, the sequence of remainders obtained is a repeating sequence. Verify this for n = 7 and find the repeating sequence of remainders.
What will be an ideal response?
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 the function. Describe its position relative to the graph of the indicated basic function.f(x) = 4x + 2; relative to f(x) = 4x
A. Moved right 2 unit(s)
B. Moved up 2 unit(s)
C. Moved left 2 unit(s)
D. Moved down 2 unit(s)
Write in exponent form.9
A. 19 B. 1 ? 9 C. 91 D. 92