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lapo4ka [179]
4 years ago
13

Solve the inequality |4x-10|greater than or equal to 14

Mathematics
1 answer:
IrinaK [193]4 years ago
6 0
|4x-10|  \geq 14 \\ +10 \\ |4x|  \geq 24\\  \frac{|4x| \geq 24}{4} \\ |x|  \geq 6
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Answer to the 1st question: 8 years

Answer to the 2nd question: The year 2022

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Further explanation:

x = number of years after 2008

y = average price of a new car

The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.

The y intercept is b = 30100 as this is the price in 2008.

This leads us to go from y = mx+b to y = 1250x+30100

Plug in x = 0 and you should get y = 30100.

Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.

-----------------

Next, we plug in y = 47600 and solve for x.

y = 1250x+30100

47600 = 1250x+30100

47600-30100 = 1250x

17500 = 1250x

1250x = 17500

x = 17500/1250

x = 14

This means 14 years after the year 2008 is when the average new car price will be $47,600.

2008+14 = 2022

2022-2014 = 8

Therefore, <u>8 years</u> after 2014 (aka the <u>the year 2022</u>) is when the new car average price will be $47,600.

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2 years ago
I know the answer to it, it's a...however I need an explanation onto why it's a.​
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3 years ago
Find MN <br> Segment addition postulate
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Answer:

<h2>MN= 6</h2>

Step-by-step explanation:

<h3>Let MP= 32 and NP = 26</h3><h3 /><h3>32 - 26 = 6</h3><h3 />

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The table displays the amount of money Stephen has in his piggy bank.
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The answer is 27%, 6/22, and 3/11.

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1. What does the mark of the angles and sides of the triangle indicate?
RideAnS [48]

2. You see them in your face:

\displaystyle m∠F ≅ m∠C;$\overline{FD}$ ≅ $\overline{CA}$

m∠E ≅ m∠B;$\overline{FE}$ ≅ $\overline{CB}$

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1. The edge and angle markings of both triangles represent all corresponding parts. Each angle and edge corresponds with another angle and edge.

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