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AleksandrR [38]
2 years ago
6

Find the value of each expression. Show your work. 9^P^3

Mathematics
1 answer:
SIZIF [17.4K]2 years ago
4 0
_n{P}_r = \frac{n!}{(n - r)!}
_9P_3 = \frac{9!}{(9 - 3)!}
_9P_3 = \frac{9!}{6!}
_9P_3 = \frac{9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1}{6 * 5 * 4 * 3 * 2* 1}
_9P_3 = 9 * 8 * 7
_9P_3 = 72 * 7
_9P_3 = 504
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Comment

It's a good thing that the domain is confined or the graph is. That function is undefined if x < - 3 

At exactly x = - 3, f(x) = 0 and that's your starting point.

So look what happens to this graph. If x = 0, f(0) =  y = 3. So we are starting to see that as x get's larger so does f(x). The graph tells us that x = 0 is bigger than x = - 3.

Let's keep on plugging things in.
As x increases to 5, f(5) = 5. x = 5 is larger than x = 0, and f(5) > 3.

One more and then we'll start drawing conclusions. If x = 9 then f(9) = y =  6. 
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OK I think we should be ready to look at answers. There's nothing there that makes the answer anything but a. Let's find out what the problem is with the rest of the choices.

B
The problem with B is that as x increases, f(x) does not decrease. We didn't find one example of that. So B is wrong.

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The answer is A <<<< Answer.
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