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3 years ago

-(r+4) = -3 solve each expression plz explain step by step so i can understand

1 answer:

8 0

There’s an invisible 1 in front of the minus sign and an invisible 1 in front of the variable.

-1(r+4)=-3 —> -1 times 1r = -1r. -1 times 4 = -4
Multiply inside the parentheses.

-1r-4=-3

Now add 4 to both sides.

-1r-4=-3
+4=+4
-1r = 1
Now divide

R= -1

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The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,

Stella [2.4K]

Answer:

$P_4 = 7604.08$

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

$P_1 = P_0 + 0.04P_0$

Where $P_0$ is the initial population and $P_n$ is the population in year n

In year 2

$P_2 = P_1 + 0.04P_1$

It can also be written as:

$P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)$

Taking out common factor $P_0$

$P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)$

Taking out common factor (1 + 0.04)

$P_2 = (1 + 0.04) (P_0 + 0.04P_0)$

Taking out again common factor $P_0$

$P_2 = (1 + 0.04) (1 + 0.04) P_0$

Simplifying

$P_2 = P_0 (1 + 0.04) ^ 2$

$P_n = P_0 (1 + 0.04) ^ n$

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

$P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08$

3 0

3 years ago

How do you write 5x - 4y = 1 in slope intercept form

Alexxandr [17]

First move the 4y to the right and the 1 to the left:

4y=5x-1

Then divide everything by 4:

y=5/4 x - 1/4

7 0

3 years ago

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Ted and Meg have each drawn a line on the scatter plot shown below:

expeople1 [14]

Answer:

A.)Line P, because it is closest to most data points

Step-by-step explanation:

The line of best fit is a line which best represents the data and the data points are closely related to it.

It is also known as a trend line.

The line of best fit may pass through, some , none or all of the data points.

Also if the scatter plot does not pass through all the data point then the magnitude of positive residual must be approximately equal to the magnitude of negative residual of the data points.

Hence, by looking at the scatter plot we see that all the data points lie above Line R.

Hence, the Line R will not be a line of best fit.

But all the data points lie close to the line P , hence it act as a line of best fit.

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3 years ago

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What is lcm and gcf of 6a and 8b

Feliz [49]

Lcm is 24 and the gcf is 2

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3 years ago

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Plz answer last question and im lost!

harkovskaia [24]

Answer:

$\pi$ radian

Step-by-step explanation:

We know that angle for a full circle is 2 $\pi$

In the given figure shape is semicircle

hence,

angle for semicircle will be half of angle of full circle

thus, angle for given figure = half of angle for a full circle = 1/2 * 2 $\pi$ = $\pi$

Thus, answer is $\pi$ radian

alternatively, we also know that angle for a straight line is 180 degrees

and 180 degrees is same as $\pi$ radian.

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3 years ago