Find all numbers that must be excluded from the domain of the rational expression.
A. x ? -4
B. x ? 0
C. x ? -6
D. x ? 4
Answer: D
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Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in the sets.{1, 8, 27, 64, ...}
A.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 1, | 8, | 27, | 64, | ..., | n3, | ...} |
B.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 1, | 8, | 27, | 64, | ..., | n4, | ...} |
C.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 1, | 8, | 27, | 64, | ..., | 2n3, | ...} |
D.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 1, | 8, | 27, | 64, | ..., | n2, | ...} |
Solve the problem.A racetrack curve is banked so that the outside of the curve is slightly elevated or inclined above the inside of the curve. This inclination is called the elevation of the track. The maximum speed on the track in miles per hour is given by
where r is the radius of the track in miles and ? is the elevation in degrees. Find the maximum speed for a racetrack with an elevation of 25° and a radius of 
Round to the nearest mile per hour.
A. 34,025 mph B. 183 mph C. 16,635 mph D. 155 mph
Evaluate.(-11)(-8)
A. -99 B. 96 C. 88 D. 99
Identify the intervals where the function is changing as requested.Decreasing
A. (-1, 0) B. (-?, 0) C. (0, 3) D. (3, ?)