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Allushta [10]
2 years ago
15

Which number line represents the solution set for the inequality 3(8-4x) < 6(x - 5)?

Mathematics
1 answer:
zhenek [66]2 years ago
4 0

Answer:

I think it is the second one I guess so.

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I NEED HELP!! ILL MARK BRAINLIEST AND GIVE YOU 100 POINTS!!
Flauer [41]

I'm not entirely sure if the focus of this question is more on marketing or the proof, but I can try to help a bit with the proof.

From what I can tell this is basically asking you to take a polynomial from column A, square it, and then add it to column B, and then simplify it while showing your work in order to create an identity. For example:

(x+y)^2 + (ax+b) =

x^2 + xy + +y^2 + ax+b =

x^2 + ax +y^2 + xy + b

Factor out an x from x^2 + ax and a y from y^2 + xy (you don't have to simplify it this way, I'm just doing it as an example)

x(x+a) + y(y+x) + b

Therefore, (x+y)^2 + (ax+b) = x(a+x) + y(y+x)

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Alan drove 260 miles using 12 gallons of gas. At this rate, how many gallons of gas would he need to drive 286 miles?
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Answer:

Alan would need 13.2 gallons of gas to drive 286 miles.  

Step-by-step explanation:

This question can be solved in a number of ways.  First, you can find the unit rate, or the approximate amount of miles that Alan can drive per gallon of gas.  Since we know that Alan drove 260 miles using 12 gallons of gas, we can divide the number of miles by the number of gallons to get the amount of miles per gallon:  260 ÷12 = 21.67miles per gallon.  In order to find the amount of gas needed to drive 286, we take the total mileage divided by the unit rate:  286 ÷ 21.67 = 13.2 gallons.  The other way to solve is using a proportion with a variable, for example:  260/12 = 286/x.  Using cross-multiplication and divide, we get 260x = 3432, divide both sides of our equation by 260 to isolate the variable and solve for x = 13.2  Either method will result in the same answer.  

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