Step-by-step explanation:
The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.Jan 21, 2020
Answer:
Exponential function;
.
Step-by-step explanation:
We have been given that a tennis tournament starts with 120 players. During each round of the game, half of the players are eliminated from the tournament.
We can see that the change in number of eliminated players is not constant. The number of players in tournament is decreasing exponentially. Therefore, an exponential function best models the relationship between the number of players in the tournament, y, and the game round, x.
We know that exponential decay function is in form
, where,
y = Final amount,
a = Initial amount,
b = Decay factor,
t = Time
Since during each round of the game, half of the players are eliminated from the tournament, so decay factor would be
.
Initially there were 120 players, so
.
Therefore, our required equation would be
.
Answer: The derivative of the function
is
.
Step-by-step explanation:
We know that the derivative of
with respect to x is given by :
(1)
The given function is 
Differential both sides with respect to x , we get

( Using (1))
Therefore , the derivative of the function
is
.
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