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katrin [286]
3 years ago
11

3n^5 ÷ 6n^3, using properties of exponents

Mathematics
2 answers:
strojnjashka [21]3 years ago
6 0

Answer:

<u />\frac{n^{2} }{2}<u />

Step-by-step explanation:

Rewrite the division as a fraction.

\frac{3n^{5} }{6n^{3} }

Cancel the common factor of 3 and 6.

\frac{3(n^{5}) }{6n^{3} }

\frac{n^{5} }{2n^{3} }

Cancel the common factor

<u />\frac{n^{2} }{2}<u />

<u>Hope this helps!</u>

<u>If you need more help with questions like these please reach out to me!</u>

Dovator [93]3 years ago
3 0

Answer:

Step-by-step explanation:

\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\frac{3n^{5}}{6n^{3}}=\frac{3}{6}*n^{5-3}\\\\=\frac{1}{2}n^{2}

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Answer:

  1a. y-intercept: 12

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  1c. equation: y = -3/2x +12

  2a. y-intercept: -9

  2b. slope: 2

  2c. equation: y = 2x -9

Step-by-step explanation:

<h3>1.</h3>

A) We observe the pattern to be <em>x-values in the table increase by 2, while y-values in the table decrease by 3</em>. We notice the first x-value is 2, so extending the table upward to x=0 would tell us the y-intercept. That is, adding 3 to the first y-value will give the y-intercept as (x, y) = (0, 12).

B) We have already observed that the "rise" (change in y) is -3 for each "run" (change in x) of 2. The slope is the ratio of these changes:

  slope = m = rise/run = -3/2

C) From the above, we know that m=-3/2 and b=12. Putting these values into the equation for the line gives ...

 y = -3/2x +12

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<h3>2.</h3>

A) We observe the pattern to be <em>y-values increase by 2 while x-values increase by 1</em>. As before, we can find the point that would go before the first one shown in the table. It will have an x-value of 0 and a y-value of -9.

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2 years ago
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Adding 6y and subtracting 12,

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Dividing by 6,

y = (4/6) x - (12/6)

y = (2/3) x - 2

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3 0
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