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damaskus [11]
3 years ago
5

What are the steps for this equation?: 6x-5=3x+4

Mathematics
2 answers:
Papessa [141]3 years ago
4 0
First subtract your x's so

6x
-3x
3x-5=4

then add 5 to the other side

3x-5=4
+5 +5

3x=9

divided 3 into 9 which gets you x=3
Allisa [31]3 years ago
3 0
6x-5=3x+4
+5          +5
6x=3x+9
-3x    -3x
3x=9
(divide both sides by 3)
x=3
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Answer: -2

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Draw a vertical line through 4 on the x axis. This vertical line crosses the parabola at some point (which we'll call point A). Draw a horizontal line from point A to the y axis and note how it lands on y = 12. Therefore the point (4,12) is on this parabola.

Repeat the same steps as before to find that (8,4) is also on the parabola

We need to find the slope of the line through (4,12) and (8,4)

m = (y2 - y1)/(x2 - x1)

m = (4-12)/(8 - 4)

m = -8/4

m = -2

The slope of this line is -2 meaning that the average rate of change from x = 4 to x = 8 is -2.

The line goes down 2 units each time you move to the right 1 unit.

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Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Hope this helps!

Step-by-step explanation:

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