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FinnZ [79.3K]
3 years ago
7

Divide x^3+2 by x+1 long division ppleeease! :)

Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

     Long division:   (x³ + 2)  ÷  (x + 1)


                                        <u>    </u><u>x² –  x  +  1   </u>
      x³ + 0x² + 0x + 2      |    x  +  1
   <u>– x³ –   x²</u>    ⋮       ⋮
          –   x² + 0x     ⋮
          <u>+   x² +   x</u><span>     ⋮</span>
                    +  x + 2
<span>                   </span> <u>–  x – 1</u>
                            + 1


         Quotient:   Q(x) = x² – x – 1;
  
     Remainder:   R(x) = + 1.


I hope this helps. =)

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Suppose that a restaurant chain claims that its bottles of ketchup contain 24 ounces of ketchup on average, with a standard devi
Tanya [424]

Answer:

Confidence Interval = (23.776, 24.224)

Step-by-step explanation:

Restaurant chain claims that its bottles of ketchup contain 24 ounces of ketchup on average.

⇒ Mean = 24 ounces.

Standard Deviation = 0.8

Number of bottles used for sample = 49

⇒ n = 49

Confidence level = 95%

Corresponding z value with 95% confidence level = 1.96

Now, confidence interval is given by the following expression :

Mean \pm z^*\times \frac{\sigma}{\sqrt{n}}\\\\=24\pm1.96\times \frac{0.8}{\sqrt{49}}\\\\=24\pm 0.224

Hence, Confidence Interval = (23.776, 24.224)

6 0
2 years ago
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\bold{\text{Answer:\qquad }b)\quad \bigg(\dfrac{1}{2},-2\bigg)}

<u>Step-by-step explanation:</u>

The vertex form of an absolute value equation is: f(x)=|x-h|+k where

(h, k) is the vertex. In the given equation, f(x)=\bigg|x-\dfrac{1}{2}\bigg|-2, the h-value is 1/2 and the k-value is -2.

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8 0
3 years ago
Reduce any fractions to lowest terms.Don’t round your answer, and don’t use mixed fractions
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Answer:

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Step-by-step explanation:

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Dividing '17' on both sides

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4 0
2 years ago
Read 2 more answers
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The 25th percentile corresponds to z ≈ -0.67.
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The solution is
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.. σ ≈ 5.11

5 0
2 years ago
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