Find an equation of a parabola that satisfies the given conditions.Vertex (-3, -8), focus (-3, -14)

A. 24(y - 3) = (x - 8)2 
B. 24(y + 8) = -(x + 3)2 
C. 56(y - 8) = -(x - 3)2 
D. 24(y - 8) = (x - 3)2 


Answer: B

Mathematics

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Solve the differential equation.x   = y + (x2 - 3)2

A. y =  x3 - 6x -  + C
B. y =  x4 - 6x2 - 9 + Cx
C. y =  x4 - 18x ln x+ Cx
D. y = x4 - x2 - 9 + Cx

Mathematics

Perform the indicated operation.

A.
B.
C.
D.

Mathematics

Your wage is $11.00 per hour plus $0.50 for each unit produced per hour. So, your hourly wage in terms of the number of units produced x is y = 11 + 0.50x. Find the inverse function. What does each variable represent in the inverse function? ?

A.

x = hourly wage; y = numbers of units produced


B. y = 11 + 0.50x

x = hourly wage; y = numbers of units produced

?


C.

x = hourly wage; y = numbers of units produced

?


D.

x = hourly wage; y = numbers of units produced

?


E. y = 11 - 0.50x

x = hourly wage; y = numbers of units produced

?


Mathematics

Select the correct function for the graph using oblique asymptotes as aids. ?? ?

A.
B.
C.
D.
E.

Mathematics