Each member of a baseball team has a specific position. those positions are catcher, pitcher, infielder, and outfielder. at any given time, there must be nine players on the field: one catcher, one pitcher, four infielders, and three outfielders.

Create a roster for a baseball team of 25 players. Determine how many catchers, pitchers, infielders, and outfielders must be on the team.

How many catchers are on your team? 3

How many pitchers are on your team? 3

How many infielders are on your team? 9

How many outfielders are on your team? 10

How many different combinations of players can be on the field at any given time? Show your work. 25!/4!(25-4)!=25!/4!21!=12650

How many different permutations of players can be on the field at any given time? Show your work. 25!/(25-4)!=25!/21!=303600

Which of these numbers would be more helpful to a manager who wants to figure out who to play together on the field? Explain your answer. I think combinations because you combine the players with different players at different times.

If a major league baseball team plays 162 games in a season and 1 combination is used per game, how many seasons would it take to go through every combination of players? Explain your answer. Divide the combinations of players and divide it by the number of games we get aprox 78 seasons

How many seasons would it take to go through each permutation of players? Explain your answer. Divide the number of permutations of players by the number of games and we get approx 1874

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3