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8 months ago

Cengage Homework Trig/Pre-calc

Mathematics

1 answer:

iVinArrow [24]8 months ago

3 0

Based on the populations of the town from 2000 to 2008, the average rate of change of the population between 2002 and 2004 is -6.1%

The average rate of change between 2002 and 2006 is -4.88%

<h3>What is the average rate of change?</h3>

The average rate of change can be found as:

=Change in population / Population in base year

The average rate of change in population between 2002 and 2004 is:

= (77 - 82) / 82

= -6.1%

The average rate of change in population between 2002 and 2006 is:

= (78 - 82) / 82

= -4.88%

Find out more on the average rate of change at brainly.com/question/23434598

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Graph the equation 2x + 3y = 9

jeka57 [31]

$2x + 3y = 9\\3y = -2x + 9\\y = -\frac{2}{3}x + 3$

Look at the graph picture I attached

$y = mx + c$

c is the intercept, which is why the graph crosses the y-axis at +3

to find where it crosses the x-axis, we make y = 0

$y = 0\\\to -\frac{2}{3}x + 3 = 0\\-\frac{2}{3} = -3\\\frac{2}{3}x = 3\\2x = 9\\x = \frac{9}{2}\ \ (=4.5)$

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2 years ago

Which expression is equivalent to the quantity five raised to the negative second power times three raised to the fifth power en

serg [7]

The equivalent expression is 5^(4) * 3^(-10)

<h3>How to determine the equivalent expression?</h3>

The statement is given as:

five raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power

Rewrite properly as:

(5^-2 * 3^5)^-2

Expand the expression by multiplying the exponents

So, we have:

5^(-2 -2) * 3^(5 *-2)

Evaluate the products

5^(4) * 3^(-10)

Hence, the equivalent expression is 5^(4) * 3^(-10)