12 to the third over 12 to the seventh (12^3/12^7)? the answers are 12^4, 1/12^4, 1/12^-4, or 12^10

Mathematics

1 answer:

vaieri [72.5K]3 years ago

4 0

12^3 / 12^7

Cancel out the common factor:

Multiply the numerator by 1:

12^3 * 1 / 12^7

Factor 12^3 out of the denominator to get:

12^3 * 1 / 12^3 * 12^4

Now cancel the common factor to get:

1/12^4

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WILL GIVE BRAINLIEST

Alona [7]

Given:

One linear function represented by the table.

Another linear function represented by the graph.

To find:

The greater unit rate and greater y-intercept.

Solution:

Formula for slope (unit rate):

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the given table it is clear that the linear function passes through (0,5) and (5,15). The function intersect the y-axis at (0,15), so the y-intercept is 15.

$m_1=\dfrac{15-5}{5-0}$

$m_1=\dfrac{10}{5}$

$m_1=2$

So, the unit rate of first function is 2.

From the given graph it is clear that the linear function passes through (0,6) and (-4,0). The function intersect the y-axis at (0,6), so the y-intercept is 6.

$m_2=\dfrac{0-6}{-4-0}$