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weqwewe [10]
3 years ago
11

Simplify x to the fifth over x to the 4th using only positive exponents

Mathematics
1 answer:
pychu [463]3 years ago
8 0

Answer:

the answer is __________________ fill the blanks have fun EX

Step-by-step explanation:

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Show that 1n^ 3 + 2n + 3n ^2 is divisible by 2 and 3 for all positive integers n.
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Prove:

Using mathemetical induction:

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for n=1

P(n)  = 1^{3}+2(1)+3(1)^{2} = 6

It is divisible by 2 and 3

Now, for n=k, n > 0

P(k) = k^{3}+2k+3k^{2}

Assuming P(k) is divisible by 2 and 3:

Now, for n=k+1:

P(k+1) = (k+1)^{3}+2(k+1)+3(k+1)^{2}

P(k+1) = k^{3}+3k^{2}+3k+1+2k+2+3k^{2}+6k+3

P(k+1) = P(k)+3(k^{2}+3k+2)

Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also

divisible by 2 and 3.

Hence, by mathematical induction, P(n) = n^{3}+2n+3n^{2} is divisible by 2 and 3 for all positive integer n.

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3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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If f(x) = 7x − 1, what does f(12) represent?
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Hello : 
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