Solve the problem.The cost C of producing t units is given by C(t) = 3t2 + 7t, and the revenue R generated from selling t units is given by  For what values of t will there be a profit?

A. t > 8
B. t > 7
C. t > 0
D. t > 6


Answer: D

Mathematics

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Solve the problem.The surface of a snow-covered mountainside can be modeled by the function f(x,y) = e-((x - 0.5)2 + (y - 0.7)2),where x and y are coordinates in the horizontal plane (xy-plane). Find a unit vector that indicates the direction an avalanche will move initially if it begins at the point . Assume that the avalanche moves along the path of steepest descent.

A. u = 
B. u = 
C. u = 
D. u = 

Mathematics

Use Cramer's rule to solve the system.2.5x + 2.2y =  40.11.0x - 2.3y =  -9.4

A. {(9, 8)} B. {(-9, -8)} C. {(-8, 9)} D. {(8, 9)}

Mathematics

The problem tells how many units and in what direction the graph of the given equation is to be shifted. Give an equation for the shifted graph. Then sketch the original graph with a dashed line and the shifted graph with a solid line.y = - Left 4

A. y = 

B. y =  + 4

C. y = 

D. y =  - 4

Mathematics

Complete the table using the formula.y =   

A.
 
B.
 
C.

D.
 

Mathematics