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a_sh-v [17]
3 years ago
8

What is the greatest common factor of the polynomial expression 2x^3 - 4x^2 + 6x?

Mathematics
1 answer:
iren2701 [21]3 years ago
5 0

Step-by-step explanation:

2 {x}^{3}  - 4 {x}^{2}  + 6x \\  = 2x( {x}^{2}  - 2x + 3) \\  \because \: 2x \: is \: common \: from \: all \: terms \\  \therefore \: greatest \: common \: factor = 2x

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A. They are boys who are not in sixth grade and don't wear glasses.

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Which of the following is a geometric sequence
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Read 2 more answers
-⅔ (6x +9) = 18 I really need some help and understanding with this one. Thanks in advance!!
Sever21 [200]

-⅔ (6x + 9) = 18

Apply distributive property. Multipy -⅔ to 6x and 9.

-4x - 6 = 18

Add 6 to both sides so -4x can be alone.

-4x - 6 + 6 = 18 + 6

-4x = 24

To get x alone, divide both sides by -4.

-4/-4x = 24/-4

x = -6

x = -6 is your answer. I hope this helps! Let me know if you need more help or if I got something wrong.

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Which linear function is represented by a graph with y-intercept of - 1/6
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Express the confidence interval 0.555 less than 0.777 in the form Modifying above p with caret plus or minus Upper E.
Elina [12.6K]

Complete Question

Express the confidence interval 0.555 less than p less than  0.777 in the form Modifying above p with caret plus or minus Upper E.

Answer:

The modified representation is \r p \pm  E  = 0.666 \pm  0.111

Step-by-step explanation:

From the question we are told that

    The  confidence interval interval is  0.555 <  p <  0.777

Now looking at the values that make up  the up confidence interval we see that this is a symmetric  confidence interval(This because the interval covers 95%  of the area under the normal curve which mean that the probability of a value falling outside the interval is 0.05 which is divided into two , the first half on the left -tail and the second half on the right tail  as shown on the figure in the first uploaded image(reference - Yale University ) ) which means

     Now  since the confidence interval is  symmetric , we can obtain the sample proportion as follows

             \r p  =  \frac{0.555 + 0.777}{2}

            \r p  =0.666

Generally the margin of error is mathematically represented as

            E  =  \frac{1}{2}  *  K

Where  K is the length of the confidence interval which iis mathematically represented as

           K  =  0.777 -0.555

         K  = 0.222

Hence  

          ME  =  \frac{1}{2}  *  0.222

           ME  =  0.111

So the confidence interval can now be represented as

        \r p \pm  E  = 0.666 \pm  0.111

     

3 0
3 years ago
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