Answer:
where
.
The number of players compete in round 7 will be 4.
Step-by-step explanation:
The number of players in a tennis tournament is reduced by half (50%) after every round. In round 1 there are 256 players, in round 2 there are 128 players, and so on.
So, the number of players is multiplied by
gives the number of players in the next round.
Therefore, the explicit function of number of players in nth round is given by
where
.
Therefore, the number of players compete in round 7 will be
. (Answer)
Answer:
C. {-1, 5, 8}
Step-by-step explanation:
Use each of the domain values in the function to see what the corresponding range value is.
f(-1) = 5 -3(-1) = 8
f(0) = 5 -3(0) = 5
f(2) = 5 -3(2) = -1
The range is the set of numbers {-1, 5, 8}.
_____
<em>Additional comment</em>
The values in a set are generally listed lowest to highest. The coefficient of x in the equation for f(x) is negative, meaning the lowest range value will correspond to the highest domain value. If you start by finding f(2) = -1, you immediately eliminate all answer choices except B and C.
Those choices differ only in the middle value, so you can tell which is correct by evaluating f(x) for the middle domain value: f(0) = 5. Only one answer choice has both -1 and 5 in the set.
(There are two answers here: how you work the problem, and how you game a multiple choice question.)
Answer:
288
Step-by-step explanation:
Hope it helps :>