Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
, the volume in cubic inches
That equal to
One root is x=2, if try Rational Roots Theorem.
2 | 2 -19 45 -30
|
| 4 -30 30
|________________________________
2 -15 15 0
So the equation can be rewritten
and general quadratic equation solution will help for roots of the quadratic factor.
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
All you need is to substitute x= 2 into the given function, and calculate the value
V(2) = 4*2^3 - 38*2^2 + 90*2 = 4*8 - 38*4 + 90*2 = 60 cubic inches. ANSWER
Solved.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
The polynomial
4x3 − 38x2 + 90x
gives the volume (in cubic inches) of the resulting box when a square with sides x inches long is cut from each corner of a 9 in. × 10 in. piece of cardboard. Find the volume of a box if 2-inch squares are cut out.
Length of each side of each cut-out square/Height of box: 2"
Length of cardboard before squares were cut out: 10"
Length of cardboard after squares were cut out/Length of base of box: 10 - 2(2) = 10 - 4 = 6"
Width of cardboard before squares were cut out: 9"
Width of cardboard after squares were cut out/Width of box: 9 - 2(2) = 9 - 4 = 5"
Volume of box formed after squares were cut out from cardboard: LWH = 6(5)(2) = 60 cubic inches
OR
Substitute 2 for x in volume-polynomial: 4x3 − 38x2 + 90x.
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