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Setler79 [48]
2 years ago
9

Consider the graph of the exponential function, y=3(2)^. Is the graph increasing or decreasing

Mathematics
1 answer:
Serhud [2]2 years ago
7 0

The graph of the exponential function, y=3(2)^x is increasing

<u>Step-by-step explanation:</u>

In mathematics, an exponential function is a function of the form f(x) = ab^{x}  , where b is a positive real number, and in which the argument x occurs as an exponent. For real numbers c and d, a function of the form f(x) = ab^{cx+d} is also an exponential function,

We have the function y = 3(2)^x or y = 3(2)^{x}  . It's an exponential function :

For all the values of x , Value of function is almost zero , but never zero . For all values of x\geq 0 , The function is an increasing function i.e. Function is directly proportional to value of x  . For your reference , given below is the graph of function y = 3(2)^x or y = 3(2)^{x}  .

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2 years ago
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2 years ago
A roster for a baseball team has 12 players. the coach is randomly making the batting order for 9 players. what is the probabili
andrey2020 [161]
The probability of you being the leadoff hitter is <span>8.3%.</span>

Explanation:

The number of possible rosters can be calculated with permutations, knowing that the coach can choose the first hitter among all 12 players, then the second hitter among the 11 players remaining and so on until the 9th hitter among the remaining 4 players.

Therefore:
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The leadoff hitter is the first player in the batting order, therefore the number of possible rosters in which you are chosen as the first one is:
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The probability of you being leadoff is:
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Note that this is exactly the probability of you being chosen out of the 12 players of the team in a one-pick choice because it does not matter how the rest of the batting order is composed.


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{:\implies \quad \sf y^{\circ}=97^{\circ}}

{:\implies \quad \boxed{\bf{y=97}}}

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