Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression.

A. , x ? 7
B. 2x2 - 26, no restrictions on x
C. 2x - 6, x ? 7
D. , x ? 7


Answer: C

Mathematics

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d. The power output is 50% of max. at fCO and the output decreases as frequency increases


a. VR decreases, VC increases.
b. VR remains the same, VC decreases.
c. VR increases, VC remains the same.
d. VR increases, VC decreases.
e. VR increases, VC increases.

Mathematics

Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.(y + 2)2 - 25(x + 2)2 = 25

A. center: (-2, -2)
transverse axis: x = -2
vertices: (-2, -7) and (-2, 3)
foci: (-2, -2 - ) and (-2, -2 + )
asymptotes: y + 2 = - 5(x + 2) and y + 2 = 5(x + 2)
B. center: (-2, -2)
transverse axis: x = -2
vertices: (-1, -6) and (-1, 4)
foci: (-1, -1 - ) and (-1, -1 + )
asymptotes: y + 2 = - (x + 2) and y + 2 = (x + 2)
C. center: (-2, -2)
transverse axis: y = -2
vertices: (2, -5) and (-2, 5)
foci: (-2, - ) and (-2, )
asymptotes: y + 2 = - 5(x + 2) and y + 2 = 5(x + 2)
D. center: (2, 2)
transverse axis: x = 2
vertices: (2, -3) and (2, 7)
foci: (2, 2 - ) and (2, 2 + )
asymptotes: y + 2 = - 5(x + 2) and y + 2 = 5(x + 2)

Mathematics

The proprietor of the Showplace, a video store, has estimated that the rental price p (in dollars) of prerecorded video discs is related to the quantity x rented/day by the demand equation ?  ?  Currently, the rental price is $3/disc. Is the demand elastic or inelastic at this rental price? If the rental price is increased, will the revenue increase or decrease? ? 

A. inelastic, increase B. inelastic, decrease C. elastic, decrease D. elastic, increase

Mathematics

Solve the problem.The length of the diagonal of a box is given by D =  where L, W, and H are the length, width, and height of the box. Find the length of the diagonal, D, of a box that is  long,  high, and  wide. Give the exact value.

A. 8 ft
B. 16 ft
C. 2 ft
D. 4 ft

Mathematics