3 years ago

Factor 7x^2+35y-49 what is the answer please

Mathematics

1 answer:

zheka24 [161]3 years ago

7 0

Answer:

Step-by-step explanation:

I do not know what you were asking for

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3 years ago

Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.

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Answer:

Step-by-step explanation:

Hello, please consider the following.

$3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)$

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

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Step-by-step explanation:

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2 years ago

Use the Distributive Property to expand 4(8x - 2y)-3=

choli [55]

Answer:

32x-8y-3

Step-by-step explanation:

4(8x-2y)-3

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4 x 2y = -8y

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3 years ago

Factor 7x^2+35y-49 what is the answer please ​

Factor 7x^2+35y-49 what is the answer please