What is the domain of the given function? {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}

Mathematics

2 answers:

mihalych1998 [28]3 years ago

5 0

Hey Kiddo.

The domain is the first number of each set.
Domain, 3, 6, -1, 5, -4

attashe74 [19]3 years ago

4 0

Answer: { 3 , 6 , -1 , 5 , -4 }

Step-by-step explanation:

For every function, the domain is the set of all possible input values of x.

For example : In function {(1,2), (2,6), (3,4)},

The domain = {1 , 2 , 3}

In function : f(x)=x

The domain = Set of all real numbers.

The given function: {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}

The set of x-values = { 3 , 6 , -1 , 5 , -4 }

Therefore , the domain of the given function = { 3 , 6 , -1 , 5 , -4 }

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The Lacrosse booster club is holding a raffle for a fundraiser. They will sell 100 tickets for $5 each and select 4 winners. All

Nadusha1986 [10]

Answer:

<h2>There are 3,921,225 ways to select the winners.</h2>

Step-by-step explanation:

This problem is about combinations with no repetitions, because the same person can't win four times. It's a combinaction because the order of winning doesn't really matter.

Combinations without repetitions are defined as

$C_{n}^{r} =\frac{n!}{r!(n-r)!}$

Where $n=100$ and $r=4$ .

Replacing values, we have

$C_{100}^{4} =\frac{100!}{4!(100-4)!}=\frac{100!}{4! 96!}=\frac{100 \times 99 \times 98 \times 97 \times 96!}{4! \times 96!}= \frac{94,109,400}{24}= 3,921,225$