Solve using artificial variables.Minimize w = 12x1 + 10x2 + 15x3subject to: 42x1 + 60x2 + 69x3 = 1110 90x1 + 150x2 + 180x3 ? 2700 48x1 + 78x2 + 82x3 ? 1344 x1 ? 0, x2 ? 0, x3 ? 0, x4 ? 0

A. 210
B. 260
C. 256
D. 246


Answer: A

Mathematics

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Factor the trinomial completely.6x2 - 21x - 12

A. 3(2x + 1)(x - 4) B. (6x - 3)(x + 4) C. 3(2x - 1)(x + 4) D. prime

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Solve the problem.Refer to the following preference schedule.Find the winner by the method of pairwise comparisons.

A. C B. A C. D D. B

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Find the decimal approximation for the radical. Round the answer to three decimal places.

A. 2.882 B. 2.914 C. 2.904 D. 2.896

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The Richter scale converts seismographic readings into numbers for measuring the magnitude of an earthquake according to this function M(x) = log , where x0 = 10-3.Two earthquakes differ by 0.1 when measured on the Richter scale. How would the seismographic readings differ at a distance of 100 kilometers from the epicenter?

A. The earthquake of greater magnitude has a seismographic reading that is 100 times that of the lesser earthquake.
B. The earthquake of greater magnitude has a seismographic reading that is  times that of the lesser earthquake.
C. The earthquake of greater magnitude has a seismographic reading that is  times that of the lesser earthquake.
D. The earthquake of greater magnitude has a seismographic reading that is 10 times that of the lesser earthquake.

Mathematics