Solve the problem.If there are x teams in a sports league and all the teams play each other twice, a total of N(x) games are played, where N(x) = x2 - x. A soccer league has 10 teams, each of which plays the others twice. If the league pays $46 per game for the field and officials, how much will it cost to play the entire schedule?
A. $5060
B. $4232
C. $4140
D. $4600
Answer: C
Mathematics
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Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{4, 5, 6, 7, ...}
A.
| { | 4, | 5, | 6, | 7, ..., | n + 3, | ...} |
| ? | ? | ? | ? | ? |
| { | 3, | 4, | 5, | 6, ..., | n + 2, | ...} |
B.
| { | 4, | 5, | 6, | 7, ..., | n + 3, | ...} |
| ? | ? | ? | ? | ? |
| { | 5, | 6, | 7, | 8, ..., | n + 5, | ...} |
C.
| { | 4, | 5, | 6, | 7, ..., | n + 4, | ...} |
| ? | ? | ? | ? | ? |
| { | 3, | 4, | 5, | 6, ..., | n + 2, | ...} |
D.
| { | 4, | 5, | 6, | 7, ..., | n + 3, | ...} |
| ? | ? | ? | ? | ? |
| { | 5, | 6, | 7, | 8, ..., | n + 4, | ...} |
Mathematics
Find the least common multiple (LCM) of the pair of numbers.14 and 7
A. 7 B. 98 C. 686 D. 14
Mathematics
The inside area of a square garden has an area of (x+4)^2 - x^2, where x represents the length of the side of the outside of the garden. Simplify this expression.
What will be an ideal response?
Mathematics
Use the graph and the viewing rectangle shown below the graph to find the indicated limit.
(x2 - 2)
[-6, 6, 1] by [-6, 6, 1]
A. 
(x2 - 2) = 6
B. 
(x2 - 2) = -6
C. 
(x2 - 2) = -2
D. 
(x2 - 2) = 2
Mathematics