Solve. Provide answers in interval notation.(x + 2)(x - 5) < 0

A. (-?, -2)
B. (5, ?)
C. (-2, 5)
D. (-?, -2) ? (5, ?)


Answer: C

Mathematics

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Solve the problem.There are 6000 under-capitalized retail stores. If this represents 12% of the total number, what is the total number? Round to the nearest whole number.

A. 72,000  B. 500 C. 50,000  D. 720 

Mathematics

Identify where f is increasing and where f is decreasing.f(x) = 

A. increasing: (-?, 4]; decreasing: [4, ?) B. increasing: (-?, -4]; decreasing: [-4, ?) C. increasing: [4, ?); decreasing: (-?, 4] D. increasing: [-4, ?); decreasing: (-?, -4]

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Graph the inequality.y ? x2 + 2

A.

B.

C.

D.

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State the dual problem. Use y1, y2,  y3 and y4 as the variables. Given: y1 ? 0, y2 ? 0,  y3 ? 0, and y4Minimizew = 2x1 + 3x2 + x3subject to:x1 + 3x2 + 2x3 ? 35 2x1 + 4x2 + 3x3 ? 50 x1 ? 0, x2 ? 0, x3 ? 0

A. Maximize z = 50y1 + 35y2

subject to:2y1 + y2 ? 2
 4y1 + 3y2 ? 3
 3y1 + 2y2 ? 1
B.
Maximizez = 35y1 + 50y2
subject to:y1 + 2y2 ? 2
 3y1 + 4y2 ? 3
 2y1 + 3y2 ? 1
C. Maximize z = 50y1 + 35y2
subject to:2y1 + y2 ? 2
 4y1 + 3y2 ? 3
 3y1 + 2y2 ? 1
D.
Maximizez = 35y1 + 50y2
subject to:y1 + 2y2 ? 2
 3y1 + 4y2 ? 3
 2y1 + 3y2 ? 1

Mathematics