Find the product.(x - 3y)(x - 9y)

A. x - 12xy + 27y
B. x2 - 12xy - 12y2
C. x2 - 12xy + 27y2
D. x2 - 15xy + 27y2


Answer: C

Mathematics

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Write the expression in lowest terms. Assume that all variables represent positive real numbers.

A.
B. 6 + 6
C.
D. 6 + 6

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Find the composition. If f(x) = 6x2 - 5x and g(x) = 3x, find (g ? f)(x)

A. 6x2 - 10 B. 18x2 - 15x C. 54x2 - 5x D. 18x3 - 15x2

Mathematics

Find the vertices and locate the foci for the hyperbola whose equation is given. -  = 1

A. vertices: (-2, 0), (2, 0)  
foci: (- 2, 0), (2, 0)
B. vertices: (-12, 0), (12, 0)  
foci: (-2, 0), (2, 0)
C. vertices: (-12, 0), (12, 0)  
foci: (- 2, 0), (2, 0)
D. vertices: (0, -12), (0, 12)  
foci: (- 2, 0), (2, 0)

Mathematics

Find values of x and y such that both fx(x,y) = 0 and fy(x,y) = 0.f(x,y) = x2 + xy + y2 + 2x + 3y

A. x = , y = 
B. x = , y =  
C. x = - , y = -  
D. x = - , y = -  

Mathematics