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3 years ago

Solve the following absolute value inequality, 2/2x-1| +4 < 10

Mathematics

1 answer:

DENIUS [597]3 years ago

7 0

Answer:

x<2

Step-by-step explanation:

First you would subtract 4 from both sides to get 2|2x-1|<6

Then you would divide by 2 to get 2x-1<3

next you would add 1 on both sides to get 2x<4

Finally divide by 2 to get x<2

Hope this helped please give brainliest

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In 2003 a town’s population was 1431. By 2007 the population had grown to 2134. Assume the population is changing linearly.How m

sergiy2304 [10]

We will have the following:

First, we will have that the population change by:

$\Delta P=2134-1431\Rightarrow\Delta P=703$

So, the population changed by 703 people.

It took the follwoing number of years to change from 1431 to 2134:

$\Delta y=2007-2003\Rightarrow\Delta y=4$

So, it took 4 years to changes from 1431 to 2134.

$m=\frac{2134-1431}{2007-2003}\Rightarrow m=175.75$

The average population growth per year is of 175.75 people per year.

The population in 2000 would have been:

$P_{2000}=\frac{2000\cdot1431}{2003}\Rightarrow P_{2000}=1428.856715\ldots$

$\Rightarrow P_{2000}\approx1429$

So, the population in 2000 would have been approximately 1429 people.

We will have that the equation for the population would be:

$P=(\frac{2134-1431}{2007-2003})t+1429\Rightarrow P=\frac{703}{4}t+1429$

So, the equation would be:

$P=175.75t+1429$

Now, we predict the number of people of the town in 2014:

$P_{2014}=175.75(14)+1429\Rightarrow P_{2014}=3889.5$

$\Rightarrow P_{2014}\approx3890$

So, there will be approximately 3890 people of the town in 2014.

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1 year ago

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sineoko [7]

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4 years ago

Diego's sister is twice his age minus 9 years. She is also as old as half the sum of the ages of Diego and both of his 12-year-o

slava [35]

Answer:

Diego is 14 years old.

Sister is 19

Step-by-step explanation:

x = Diego's age

x + 24

2x-9 = 2

First to get rid of the fraction we multiply each side by 2

2(2x-9) = 2((x+24)/2)

4x-18 = x+24

The we isolate x

4x-18 = x+24

-x+18 -x+18

3x = 42 Now we divide each side 3

3 3

x = 14

So Diego is 14

Now we can solve for his sister. We can use one of the two equations from earlier to do this.

Plug 14 in for x and then solve for his sister

2(14)-9

28-9

His sister is 19

5 0

3 years ago

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What is the answer for number 7?

aivan3 [116]

Answer:

Step-by-step explanation:

x=30

m=abe=180

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3 years ago

Kevin can travel 22 1/2 miles in 1/3 hour. what is his average speed in miles per hour

klemol [59]

We know that speed * time = distance

Before we start we need to make sure the units for all three numbers are right

The time is 1/3 of a hour, 1/3*60 = 20 minutes

x * 20 = 22.5

x *2 * 10 = 22.5

2x = 2.25

x = 1.125

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3 years ago

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