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WARRIOR [948]
3 years ago
14

Hey Hons!!! What is 0.38 × 5 × ( 1 20 ) × 3 × (−8)

Mathematics
2 answers:
Zarrin [17]3 years ago
7 0

Answer:

-5472

Step-by-step explanation:

Gala2k [10]3 years ago
4 0

Answer:

-57/25 or -2 7/25 or - 2.28

Step-by-step explanation:

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Lostsunrise [7]

Let p(x) be a polynomial, and suppose that a is any real number. Prove that

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Solution. Notice that

 

2(−1)4 − 3(−1)3 − 4(−1)2 − (−1) − 1 = 1 .

 

So x − (−1) must divide 2x^4 − 3x^3 − 4x^2 − x − 2. Do polynomial long division to get 2x^4 − 3x^3 − 4x^2 – x – 2 / (x − (−1)) = 2x^3 − 5x^2 + x – 2.

 

Let ε > 0. Set δ = min{ ε/40 , 1}. Let x be a real number such that 0 < |x−(−1)| < δ. Then |x + 1| < ε/40 . Also, |x + 1| < 1, so −2 < x < 0. In particular |x| < 2. So

 

|2x^3 − 5x^2 + x − 2| ≤ |2x^3 | + | − 5x^2 | + |x| + | − 2|

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< 2(2)^3 + 5(2)^2 + (2) + 2

= 40

 

Thus, |2x^4 − 3x^3 − 4x^2 − x − 2| = |x + 1| · |2x^3 − 5x^2 + x − 2| < ε/40 · 40 = ε.

3 0
3 years ago
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