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nekit [7.7K]
2 years ago
15

Can someone help me with this please?​

Mathematics
1 answer:
bogdanovich [222]2 years ago
5 0

Answer:

3x+6

Step-by-step explanation:

Distributive property is where youre multiplying the inside numbers by the outside number and it cannot be further simplified

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Suppose that the population of a town Increases by 3% each year. the population of the town today is 25,000
jolli1 [7]

Answer:

The population of town after 1 year is 25,750  .

Step-by-step explanation:

Given as :

The rate of increase in the population of town each year = 3 %

The initial population of town = 25,000

Let the population of town after one year = x

So,

The population after n year = initial population × (1+\dfrac{\textrm rate}{100})^{\textrm n}

Or, The population after 1 year = 25,000 × (1+\dfrac{\textrm 3}{100})^{\textrm 1}

Or, The population after 1 year = 25,000 × (1.03)^{1}

Or,  The population after 1 year = 25,000 × 1.03

∴  The population after 1 year = 25,750

Hence The population of town after 1 year is 25,750  . Answer

3 0
3 years ago
How do i find the slope
Elodia [21]

Hi, I'm happy to help!

To find the slope, you need to use the slope formula, where m is the slope:

<u>m=</u>\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }<u></u>

Slope means rise over run, or how much the line rises per the amount the line moves forward. This equation shows the movement from the y points to show <u>rise</u>, over the difference in the x points to show <u>run</u>.

Now, to find the slope we insert our values, starting with our second y point:

<u>m=</u>\frac{2-y_{1 } }{x_{2} -x_{1} }<u></u>

Now insert our first y point:

<u>m=</u>\frac{2-4 }{x_{2} -x_{1} }<u></u>

Now we insert our second x point:

<u>m=</u>\frac{2-4 }{-3 -x_{1} }<u></u>

And finally our first x point:

<u>m=</u>\frac{2-4 }{-3 -3 }

Now, we solve:

<u>m=</u>\frac{-2 }{-6}

So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.

<u>m=</u>\frac{2 }{6}

Now, we simplify our fraction by dividing the top and bottom by 2:

<u>m=</u>\frac{1}{3}<u></u>

So, our slope is 1/3. This means that for every 1 unit the line rises, it goes to the right 3 units. The y-intercept is where the line hits the y axis.

If the question is asking for slope intercept form for the equation, you use y=mx+b

y represents any y coordinate on your line, m represents your slope (1/3), x represents any x coordinate on your line, and b represents your y-intercept (3).

If you were to insert these values, you would get:

y=\frac{1}{3}x+3

You use this to find what a y coordinate would be so you can draw your line.

For the next equation we do the same thing:

<u>m=</u>\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }<u></u>

Insert our values:

<u>m=</u>\frac{4-1}{2-(-4)}<u></u>

Get rid of the double negative:

<u>m=</u>\frac{4-1}{2+4}<u></u>

Solve:

<u>m=</u>\frac{3}{6}<u></u>

Simplify:

<u>m=</u>\frac{1}{2}

Now that we know our slope, let's plug it in to our slope intercept form equation.

y=\frac{1}{2}x+3

I hope this was helpful! Keep learning! :D

5 0
3 years ago
What is 12 3/4 - 11 7/8?
Sergeu [11.5K]
11.9 would be the correct answer I believe
3 0
3 years ago
Lesson 4 Solving One Variable Equation
aleksandr82 [10.1K]

Answer:

b = -³¹⁄₃

Step-by-step explanation:

We can solve this Algebra equation by separating the variable and constants.

3b + 15 = -26 - 20

3b + 15 = -46

3b = -31

b = -³¹⁄₃

3 0
3 years ago
How do I solve the equation 2x-5x+6.3=-14.4
Serga [27]
-3x+6.3=-14.4
-6.3=-6.3
-<u>3x</u>=-<u>20.7</u>
-3      -3
x=6.9
7 0
3 years ago
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