Y = -4x + 2
3x + 2y = 6 (or in y-intercept form y=-3/2x + 3)
2x - y = 7 equals y = 2x -7 in y-intercept form. This means that the line has a positive slope and therefore goes upwards. This cannot be a potential equation because the line shown is clearly pointing downwards.
y=5 indicates that the line is a horizontal line that neither points upwards or downwards. This cannot be a potential equation because the line is pointing downwards.
The only possible equations left are y= -4x + 2 and 3x + 2y = 6, both of which graph a line pointing downwards because their slopes are negative. Hope this helps!
Answer: choice C) x-y <= 2
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Explanation:
The two points (0,-2) and (2,0) are on the boundary line. The boundary line equation is y = x-2. We find this equation through the use of the slope formula to find that m = 1. The y intercept is -2 so b = -2. Therefore, y = mx+b turns into y = 1x+(-2) which simplifies to y = x-2
The equation y = x-2 can be arranged to get x-y = 2 (subtract y from both sides; add 2 to both sides)
So the answer is either x-y <= 2 OR it is x-y >= 2
The question is: which inequality has the test point (0,0) in it? We pick on the origin since 0 is the easiest number to work with.
Plug (x,y) = (0,0) into the equation for choice C
x-y <= 2
0-0 <= 2
0 <= 2
which is true. So choice C is the answer.
Choice D can be ruled out since...
x-y >= 2
0-0 >= 2
0 >= 2
which is false: 0 is not larger or equal to 2
I believe it is 6 and 36. Not to sure though. So sorry if I'm wrong.
Answer: 178.1
(12.3x7)+(11.5x8)
86.1+92=178.1
