Answer:
x = 2
Step-by-step explanation:
x + 1/2 (6x - 4) = 6
DISTRIBUTIVE PROPERTY (distribute the 1/2)
x + 3x - 2 = 6
SIMPLIFY (combine like terms)
4x - 2 = 6
solve for x by adding 2 to both sides
4x = 8
divide both sides by 4
x = 2
Answer:
see attached
Step-by-step explanation:
In the attached, the feasible region is white, and all excluded regions are shaded. When there are so many inequalities, it is easier to see the solution (feasible region) this way. The boundary lines are dashed because they are not excluded. That is, each boundary line is part of the feasible region.
The vertices of the feasible region are shown to aid in any optimization you might want to do. We have shown the values that would apply if there were a constraint y ≥ 0, which is not on your list. (We assume pounds of Brussels sprouts will not be negative.)
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If you actually do the shading required by the problem statement, you will be shading on the opposite side of each of the lines shown, and you would draw the lines as solid.
Answer:
9 inches
Step-by-step explanation:
We see all sides are the same length:
4x+3=3(2x-5)
4x+3=6x-15
18=2x
x=9
Therefore 9 inches.
Answer:
The slope is 0
Step-by-step explanation:
This is a horizontal line, and all horizontal lines have a slope of 0.
(to see why, just pick any two points, and work out the change in x over the change in y. i.e. rise/run. Since the y coordinates are all equal to 2, the numerator will be 2 -2, meaning the fraction is 0).