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Alenkasestr [34]
2 years ago
11

Factor f(x)=x^(3)-2x^(2)-x+2

Mathematics
1 answer:
DanielleElmas [232]2 years ago
6 0
X=-1
x=1
x=2

if wrong sorry
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(a) Write a pair of negative integers whose difference gives 8
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An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
-Dominant- [34]

The largest possible volume of the given box is; 96.28 ft³

<h3>How to maximize volume of a box?</h3>

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

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√(100/3) = b

b = 5.77 ft

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h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

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Largest volume = [√(100/3)]² * 2.8885

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