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2 answers:
Step-by-step explanation:
You can draw it easily by compensating eBay values for X and finding Y value and then fold this equivalent in the sense of mode X at 0.1.2.3, and so and then find the value of Y and will be in this form
Answer:
The graph below
Step-by-step explanation:
We have a graph and an equation and are asked to create the graph.
We need to keep in mind that y = 1/4x - 2 is a positive linear equation, since 1/4 though is a fraction, is still positive, along with that there is no exponent within the equation at all. So what we can know with this information, is that the line will be straight and ascending from negative to positive.
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Answer:
For least material to be used lengths of square base and sides = 10 units.
Step-by-step explanation:
Let the lengths of the square base and the sides = x feet, x feet and y feet
Area of the square base = x² feet
Volume of the rectangular prism = Area of the square base × Height
= x²y cubic feet
1000 = x²y
y = -------(1)
Material used in the prism = Surface area of the rectangular prism
= 2(lb + bh + hl)
Here, h = height of the prism
l = length of the base
w = Width of the base
Material to be used (S) = 2(xy + x² + xy) - Area of lid
S = 2(x² + 2xy) - x²
S = x² + 2xy
Now by substituting the value of y from equation (1),
S = x² +
= x² +
For least amount of material used,
We will find the derivative of the given function and equate it to zero.
S' = 2x -
2x - = 0
2x³ = 2000
x³ = 1000
x = 10 feet
From equation (1),
y =
y = 10 feet
Therefore, for least amount of the material used lengths of square base and sides will be 10 feet.