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Xelga [282]
3 years ago
8

How does the graph of g(x) =[x] +0.5 differ from the graph of f(x) =[x]

Mathematics
1 answer:
Sever21 [200]3 years ago
8 0
When you add a constant value to a function the graph of the function is shifted vertically the number of units indicated by the constant.

In this case, the function g(x) is formed by adding 0.5 to the function f(x) so the graph of g(x) is equal to the graph of f(x) shifted 0.5 units upward.
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Step-by-step explanation:

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Matt has 16 CDs. How many ways can he arrange the CDs so they are in equal rows?
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Answer:

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6 0
4 years ago
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4 years ago
How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen
fenix001 [56]

Answer:

120

Step-by-step explanation:

Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

We use the permutation formula to find the answer, but before that let's check values.

n = 8

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Now since there are two letters already chosen we have to deduct two from both the value of n and k.

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k = 3

Now we can use the permutation formula:

_{n}P_{k}=\dfrac{n!}{(n-k)!}

_{6}P_{3}=\dfrac{6!}{6-3)!}

_{6}P_{3}=\dfrac{6!}{3!}

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The 3*2*1 cancels out and leaves us with:

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