Use an equation to solve the problem.The average price of homes in one neighborhood decreased 8% since last year, a drop of $5,400. What was the average price of a home last year?
A. $64,500
B. $69,500
C. $68,500
D. $67,500
E. $71,500
Answer: D
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A line contains the given points. (a) Find the slope of the line that is parallel to the line containing the given points. (b) Find the slope of the line that is perpendicular to the line containing the given points.(3, 3) and (-4, -4)
A. (a) - 
; (b) 
B. (a) -1; (b) 1
C. (a) 1; (b) -1
D. (a) 0; (b) 0
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)
Express the following in interval notation.
A. [-4, 0) B. (-?, -4] ? (0, ?) C. (-?, -4) ? [0, ?) D. (-?, -4) ? (0, ?)
Use Descartes' Rule of Signs to determine the possible number of positive and negative real zeros for the function. Then, use a graph to determine the actual number of positive and negative real zeros.P(x) = -6x4 - 6x3 - 4x2 - 5x + 7
A. possible: 0 or 2 pos, 0 or 2 neg
actual: 2 pos, 0 neg
B. possible: 1 pos, 1 or 3 neg
actual: 1 pos, 1 neg
C. possible: 1 pos, 1 neg
actual: 1 pos, 1 neg
D. possible: 1 pos, 1 or 3 neg
actual: 1 pos, 1 neg