Match the graph with its function using the x-intercepts.

A. y = (x - 5)2 + 2(x - 5) - 3
B. y = (x - 5)2 + 12(x - 5) + 32
C. y = (x - 5)2 - 12(x - 5) + 32
D. y = (x - 5)2 - 2(x - 5) - 3


Answer: D

Mathematics

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A delivery truck must deliver packages to 6 different store locations (A, B, C, D, E, and F). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled. Using only the nearest-neighbor, repetitive nearest-neighbor, and cheapest-link algorithms (not brute force) on this graph,

A. the cheapest-link and the repetitive nearest-neighbor algorithms both yield the shortest trip. B. the nearest-neighbor algorithm yields the shortest trip. C. the nearest-neighbor and the repetitive nearest-neighbor algorithms both yield the shortest trip. D. the repetitive nearest-neighbor algorithm yields the shortest trip. E. the cheapest-link algorithm yields the shortest trip.

Mathematics

Determine if the sequence is geometric. If the sequence is geometric, find the common ratio.60, 30, 15, 7.5, 3.75, . . .

A. yes, 3.75 B. yes, 2 C. yes, 0.5 D. no

Mathematics

Find the volume of the circular cone. Use 3.14 or  for ? as indicated and round as indicated. Use 3.14 for ?. Round to the nearest whole number.

A. 678 cm3 B. 1017 cm3 C. 170 cm3 D. 151 cm3

Mathematics

Determine a general formula (or formulas) for the solution to the equation.sin ? = -1

A. ? =  + 2n?
B. ? =  + 2n?
C. 2n?
D. ? = ? + 2n?

Mathematics