Solve the problem.A hardware store has room for 200 bags of fertilizer. The fertilizer manufacturer plans to ship x bags of fertilizer with  and y bags of fertilizer without weed killer. This can be represented by . Which of the following combinations of fertilizer bags can be shipped? (x = 50, y = 140)(x = 50, y = 200) (x = 0, y = 250)(x = 200, y = 200)

A. (50, 200)
B. (200, 200)
C. (0, 250)
D. (50, 140)


Answer: D

Mathematics

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A.
B.  
C.  
D.

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Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f.f(x) = x, g(x) = x - 4

A. g shifts the graph of f vertically up 4 units

B. g shifts the graph of f vertically down 4 units

C. g shifts the graph of f vertically down 4 units

D. g shifts the graph of f vertically up 4 units

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Assess the stability of the equilibrium points of the nonlinear system x? = (x ? 2)( y ?1) and y? = x2 ? 2y ?8

Sketch trajectories of solutions of z? = Az given the eigenvalues and associated eigenvectors of A. Classify the origin and assess its stability.

Mathematics

Find the indicated limit, if it exists.f(x), f(x) = 

A. 6 B. 2 C. -2 D. The limit does not exist.

Mathematics