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dsp73
1 year ago
15

Calculate a and b if

Mathematics
1 answer:
const2013 [10]1 year ago
4 0

Notice that

7^{2014} - 7^{2012} = 7^{2012} \bigg(7^2 - 1\bigg) = 7^{2012} \times 48 = 2^4 \times 3 \times 7^{2012}

12=2^2\times3, so

\dfrac{7^{2014}-7^{2012}}{12} = 2^2 \times 7^{2012}

Then taking the positive square root gives

\sqrt{\dfrac{7^{2014}-7^{2012}}{12}} = \sqrt{2^2 \times 7^{2012}} = 2\times7^{1006}

so \boxed{a=2} and \boxed{b=1006}.

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What is the range of function gif g(x) = -2/(x) + 1
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The function g(x) is a rational function, and none of the options represent the range of the function g(x)

<h3>How to determine the range of the function?</h3>

The function is given as:

g(x) = -2/x + 1

The above function is undefined at point x = 0.

This is so because -2/x is undefined.

So, we have:

g(0) = -undefined + 1

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2 years ago
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3 years ago
What is -5/12 - 4/14 + 6/34
andrew11 [14]

Answer:

4 1/2

Step-by-step explanation:

Look at this expression as given in the original problem; the numbers, properly typewritten, are    -5  1/2,  - 4  1/4,  + 6  3/4.

We want to combine these three numbers into one.

To do this, we need the LCD; it is 4.

Thus, -5  1/2 is rewritten as  -5  2/4.

Then we have

-5  2/4 - 4  1/4 + 6  3/4  = -5 -4 + 6 + 2/4 + 1/4 + 3/4.

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                                                                      4  1/2

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3 years ago
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Answer: 117 degrees

Step-by-step explanation:

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