Answer:

Step-by-step explanation:
Given
See attachment for question
Required
Solve
We have:

Take LCM and solve


x=-6 because multiply x/3 by its reciprocal which is 3/x and do the same to the other part of the equation which is -2, and -2*3=-6. If you check your work, and use -6 as x, then -6/3=-2 and that is correct
Answer:
15mm
Step-by-step explanation:
just make the one shape into two and then add the areas after
The answer is (7,-1).
x1-y1 and x2-y2 gives you 2-(-5) and 3-4, so you now have a point which is (7,-1) which is the slope.
Answer:
1.88 inches
Step-by-step explanation:
The volume is the product of length, width, and height. If w represents the width of the box, then its length is 4w and its height is w+7. The volume is then ...
V = (4w)(w)(w+7)
We want to find the value of w that makes V=126. It is convenient to use the graphing calculator to look for zeros of a function, so we can write the equation as ...
V - 126 = 0
4w·w·(w+7) -126 = 0
The only positive solution to this equation is near w ≈ 1.883.
The width of the box is about 1.88 inches.
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Attached is output from the DESMOS free graphing calculator. The ALEKS calculator requires a subscription. The method of solution is substantially the same, but requires a little more work on the ALEKS calculator to find the zero-crossing.