As a part-time contractor, you want to test a new cement mixture for a project. You need 2 34 wheelbarrows of sand to make 8 whe
2 answers:
Answer: He would need 10.07 cubic feet of sand for wheelbarrows.
Step-by-step explanation:
Since we have given that
Ratio of wheelbarrows of sand to wheelbarrows of concrete is given by
Volume of concrete for wheelbarrows = 248 cubic feet.
Then volume of wheelbarrows of sand would be
Hence, he would need 10.07 cubic feet of sand for wheelbarrows.
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We can expression one variable in terms of the others as
Since the area is the product of the dimensions, we have
This is a parabola facing down, so it's vertex is the maximum:
So, the maximum is
And since we know that , we have
as well.
This is actually a well known theorem: out of all the rectangles with given perimeter, the one with the greatest area is the square.
Solution:
We have to find the remainder when f(x) is divided by
x²-1=0
x=
So, remainder is 13 and -13.