Graph y = f(x). Compare the graph to the graph of y = log x.y = log(x) - 1

A. Reflected across the x-axis and
shifted 1 unit(s) upward

B. Shifted 1 unit(s) downward

C. Shifted 1 unit(s) to the right

D. Shifted 1 unit(s) the upward


Answer: B

Mathematics

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Solve the system of equations by the addition method.

A. (0, 0) B. (0, -1) C. (-2, 1) D. no solution

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Find the intercepts and then graph the line.12y - 3x = -6

A. (0, ); (2, 0)

B. (0, - ); (2, 0)

C. (0, ); (-2, 0)

D. (0, - ); (-2, 0)

Mathematics

Set up the linear programming problem.An office manager is buying used filing cabinets. Small file cabinets cost $5 each and large file cabinets cost $11 each, and the manager cannot spend more than $73 on file cabinets. A small cabinet takes up 7 square feet of floor space and a large cabinet takes up 10 square feet, and the office has no more than 86 square feet of floor space available for file cabinets. The manager must buy at least 7 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. Write a system of inequalities that describes these constraints.

A. 5x + 11y ? 73 7x + 10y ? 86 y ? 7 B. 5x + 11y ? 73 10x + 7y ? 86 x ? 7 C. 5x + 11y ? 73 7x + 10y ? 86 x + y ? 7 D. 5x + 11y ? 73 7x + 10y ? 86 x + y ? 7

Mathematics

Solve.The distance from Ivy's house to the park is  of a mile. Ivy leaves her house with her dog and walks  of a mile toward the park. How much farther does she have to walk her dog to get to the park?

A.  of a mile
B.  of a mile
C.  of a mile
D.  of a mile

Mathematics