Factor the sum or difference of two cubes.x3 - 343

A. (x - 7)(x2 + 49)
B. (x - 7)(x2 + 7x + 49)
C. (x + 7)(x2 - 7x + 49)
D. (x + 343)(x2 - 1)


Answer: B

Mathematics

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A function f(x) and the numbers L, x0, and ? > 0 are given. Find the greatest value for  such that for all x satisfying   the inequality  holds.f(x) = -6x + 8,L = 2,x0 = 1,

src="https://sciemce.com/media/4/ppg__tttt0613191435__f1q170g6.jpg" alt="" style="vertical-align: -4.0px;" />? = 0.01 A. 0.0034 B. -0.01 C. 0.0017 D. 0.0067

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Sketch the graph for the equation by plotting points.x2 + 9y = 9

A.

B.

C.

D.

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List all numbers from the given set that are members of the given Real Number subset.{13, , -24, 0, 0.} Natural numbers

A. 13
B. 13, 0
C. 13, 
D. 13, 0, 

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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 y4Minimize w = 11x1 + 7x2 + 4x3 + 5x4subject to: 11x1 + 5x2 + 7x3 + 4x4 ? 25 16x1 + 5x2 + 11x3 + 7x4 ? 30 x1 ? 0, x2 ? 0, x3 ? 0, x4 ? 0

A.

Maximizez = 25y1 + 30y2
subject to: 11y1 + 16y2 ? 11
 5y1 + 5y2 ? 7
 7y1 + 11y2 ? 4
 4y1 + 7y2 ? 5
B.
Maximizez = 25y1 + 30y2
subject to: 11y1 + 16y2 ? 11
 5y1 + 5y2 ? 7
 7y1 + 11y2 ? 4
 4y1 + 7y2 ? 5
C.
Maximizez = -25y1 - 30y2
subject to: 11y1 + 16y2 ? 11
 5y1 + 5y2 ? 7
 7y1 + 11y2 ? 4
 4y1 + 7y2 ? 5
D.
Maximizez = 25y1 + 30y2
subject to: 11y1 + 16y2 ? -11
 5y1 + 5y2 ? -7
 7y1 + 11y2 ? -4
 4y1 + 7y2 ? -5

Mathematics