Verbal 2. How do we determine the domain of a function defined by an equation?

Mathematics

1 answer:

soldier1979 [14.2K]2 years ago

5 0

Step-by-step explanation:

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<u>The domain of a function can be determined by listing the input values of a set of ordered pairs. See (Figure). The domain of a function can also be determined by identifying the input values of a function written as an equation.</u>

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What does n equal in this equation? n+4/-2=-9

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So basically you just want to isolate the variable. So you want n on a side all by itself. so first you multiply by -2 to both sides, that will leave you with the equation n+4=18, then you subtract 4 from both sides, this will give you the equation n=14. To make sure this solution is correct, you can plug it back into the equation filling 14 in for n, this equation is 14+4/-2=-9, and this solution works. Hope this helped :)

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you have enough tickets to play 6 different games at a amusement park. if there are 14 games, how many ways can you choose six?

Musya8 [376]

Answer:

3003 ways

Step-by-step explanation:

You can basically choose 6 games from 14 games in total. This is essential a combination problem. We want the number of ways to choose 6 things from 14 things. The general formula for combinations is:

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

Which tells us the number of ways to choose "r" things from a total of "n" things.

The factorial notation is:

n! = n * (n-1) * (n-2) * ....

Example: 3! = 3 * 2 * 1

Now, we know from the problem,

n = 14

r = 6

So, substituting, we get:

$nCr=\frac{n!}{r!(n-r)!}\\14C6=\frac{14!}{6!(14-6)!}\\=\frac{14!}{8!*6!}\\=\frac{14*13*12*11*10*9*8!}{6!*8!}\\=\frac{14*13*12*11*10*9}{6*5*4*3*2*1}\\=3003$