The function that describes the graph is an exponential function
<h3>How to determine the function type?</h3>
From the graph, we have the following highlights:
- Initially, when x increases; y seem not to increase
- Then, x and y increase at the same time
- Finally, y increase and x seem not to increase
The above is the description of an exponential function
Hence, the function that describes the graph is an exponential function
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we can divide the equation on (x+1) and if we have a real solutons (x+1) is a factor
is a factor because the remainder is 0
so the new form of the equation is
For the given situation we have a total of 259,459,200 permutations.
<h3>
How many permutations are?</h3>
First, how we know that it is a permutation?
Because the order matters, we aren't only selecting 8 out of the 15 people, but these 8 selected also have an order (is not the same thing to finish the race first than fourth, for example).
Then we need to find the number of permutations, to do it, we need to find the numbers of options for each of the 8 positions.
- For the first position there are 15 options.
- For the second position ther are 14 options (one runner already finished).
- For the third position there are 13 options.
- And so on.
Then the total number of permutations (product between the numbers of options) is:
P = 15*14*13*12*11*10*9*8 = 259,459,200
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Answer:
A is the answer
Step-by-step explanation:
Answer:
The state governments are able to focus entirely on the citizens that live there. The federal government has to deal with wide spread, national issues, and would not provide the care and attention that the smaller state governments can.
Step-by-step explanation: