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3 years ago

Which equation represents h(x)?

Mathematics

1 answer:

GarryVolchara [31]3 years ago

8 0

Answer:

Step-by-step explanation:

You might find this easier if you change h(x) to y. It might look more familiar.

you are given 1 point and that is (-1,1). What that means is when x = -1,

y = 1

You have written this as though y is linear. It is not. The power is 1/3, not 1.

Let us try B which is what I think the answer is.

y = (x + 2)^(1/3)

Put x = -1 on the right hand side.

y = (-1 + 2)^(1/3)

y = (1)^(1/3)

The cube root of 1 is 1.

So the answer is

y = (x + 2)^(1/3)

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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

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So, the sum is divisible by 3.

Step 3 - Conclusion

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Thanks

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