Answer: The range is the set {8, 3, 2, -7} which can be sorted to get {-7, 2, 3, 8}
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Explanation:
The range is simply the set of possible y values. All you have to do is list all the y coordinates and surround the values in curly braces. The curly braces indicate a set. Every point is of the form (x,y). The y coordinate is the second value listed of each ordered pair.
Rearranging y = 8x -4y = 12 in the y = mx + b form gives y = 2x - 3
y = 2x - 3
y = mx - 6 (already in y = mx + b form)
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Parallel lines have the same slope.
m = 2
Note that the two lines have the different y-intercepts and are not the same line.
Let x,y,z be those numbers.
x+y+z = 12
Since x,y,z are consecutive: y=x+1, and z = x+2
Let's replace y and z by their new values:
x+x+1+x+2=12
3x+3=12
You subtract 3 from each side to get variables on a side, and numbers on the other:
3x=9
You divide both sides by 3:
x=3
y=x+1 = 3+1 = 4
z=x+2 = 3+2 = 5
So the numbers are 3; 4 and 5.
You can re-check your answers (very important):
3+4+5 = 12
3;4;5 are consecutive numbers.
The answer has been approved.
Hope this Helps! :)
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Step-by-step explanation:
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