Answer:
The dimensions of the piece of metal can be represented by x and x+10.
Now, 2 in squares are being cut out of each corner.
So the new dimensions are x-4 (2in from each side) and x+10-4 or x+6.
When you fold it up, the height becomes 2 and the base has dimensions x-4 and x+6. Now plug this into the volume formula.
V=l*w*h
1302 = (x+6)(x-4)(2)
651 = x2+2x-24
0 = x2 + 2x-675
0 = (x+27)(x-25)
x=-27 reject since lengths cannot be negative or x=25.
So your original dimension for the piece of metal are 25 by 35.
Step-by-step explanation:
Answer:
the third option. x is a real number
We can rewrite this by subtracting the right side to get
... 3^(-x) -x^3 -x = 0
A graphing calculator shows this to have a solution near x=0.5.
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There are no algebraic means for solving such a combination of exponential and polynomial functions.
The GCF is 6.... if u need me to explain id be happy to
