Find the standard form of the parabola with the given characteristic and vertex at the origin. focus: (0, –5)
A) x2 = –20y
B) x2 = –5y
C) x2 = 5y
D) y2 = –20x
E) y2 = –5x
A) x2 = –20y
Mathematics
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Graph the rational function. Include the graphs and equations of the asymptotes.f(x) = 
A. asymptotes: x = -2, x = 2, y = 0
B. asymptotes: x = -2, x = 2, y = 0
C. asymptotes: x = -2, x = 2, y = 2
D. asymptotes: x = -2, x = 2, y = -2
Mathematics
The argument has a true conclusion. Identify the argument as valid or invalid.All soda pops are carbonated.All diet colas are soda pops. All diet colas are carbonated.
A. Valid B. Invalid
Mathematics
Solve: 2 - 2(x - 4) = 5(5 - x)
A. 5
B. 
C. 
D. 0
Mathematics
Factor the difference of cubes.729 - p3q3
A. (9 - pq)(81 + 9pq + p2q2) B. (9 + pq)(81 - 9pq + p2q2) C. (9p - q)(81p2 + 9pq + q2) D. (9 - pq)3
Mathematics