Solve the system using the inverse matrix method.

A. x = 5, y = 2, z = -2; (5, 2, -2)
B. x = 2, y = 5, z = 2; (2, 5, 2)
C. x = 5, y = -2, z = 2; (5, -2, 2)
D. x = -5, y = -2, z = -2; (-5, -2, -2)


Answer: C

Mathematics

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Solve the problem.Find the optimum number of batches (to the nearest whole number) of an item that should be produced annually (in order to minimize cost) if 270,000 units are to be made, it costs $2 to store a unit for one year, and it costs $520 to set up the factory to produce each batch. Assume that units of this item will be sold off throughout the year, so the cost equation will use the average cost.

A. 18 batches B. 16 batches C. 25 batches D. 23 batches

Mathematics

Multiply and then, if possible, simplify by factoring.

A. 5
B. 25
C. 625
D. 5

Mathematics

Factor out the negative of the greatest common factor.-54m9 + 6m7 - 42m5

A. -m5(-54m4 + 6m2 + 42) B. -6m5(9m4 - m2 + 7) C. -6(9m9 - m7 + 7m5) D. -m5(54m4 - 6m2 + 42)

Mathematics

Provide an appropriate response.Look for a pattern in the sequence of figures shown below, and use your reasoning to draw the next figure.

A.

B.

C.

D.

Mathematics