Part
1 answer:
Answer:
No! They are not proportional!
Step-by-step explanation:
Proportional prices to the length means that
(price 1/length 1)=(price 2/length 2)=(price 3/length 3)
Even by plugging in the numbers yourself to double check my numbers, and getting and answer for each ratio, it is clear that they are not proportional.
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Answer:
Step-by-step explanation:
<u>Volume And Function s</u>
Geometry can usually be joined with algebra to express volumes as a function of some variable. The volume of a parallelepiped of dimensions a,b,c is
Our problem consists in computing the volume of a box made with some sheet of metal 12 ft by 18 ft. The four corners are cut by a square distance x as shown in the image below .
If the four corners are to be lifted and a box formed, the base of the box will have dimensions (12-2x)(18-2x) and the height will be x. The volume of the box is
Operating and simplifying
The inequality described can be written as:
y < 3x + 2.
<h3>How to get the inequality?</h3>First, we know that we have a dashed line, and the region to the left of that line is shaded, then we will have:
y < line.
The linear equation is of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
Remember that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
Here we know that the line passes through (-3, -7) and (0, 2), so the slope is:
And because the line passes through (0, 2), the y-intercept is 2, then the inequality is:
y < 3x + 2.
If you want to learn more about inequalities:
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