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mamaluj [8]
3 years ago
11

What is the range of Variable B? Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable A. Th

e vertical axis is labeled Variable B. Points are plotted at (one, eight), (two, three), (four, two), (four, six), (five, two), (six, one), (seven, three), (nine, five).
for a laugh Abe Lincoln
sorry for it being three pics and two graphs

Mathematics
1 answer:
Drupady [299]3 years ago
7 0
Variable B : 8, 3, 2, 6, 2, 1, 3, 5

To get the range of a set, we need to arrange the numbers from least to greatest

1, 2, 2, 3, 3, 5, 6, 8

We get the difference of the greatest number and the lowest number.

8 - 1 = 7

The range of the set is 7.

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B2-4b+4=0 using quadratic forumla
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Trying to factor by splitting the middle term   

Factoring <span> b2-4b+4</span> 
The first term is, <span> <span>b2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -4b </span> its coefficient is <span> -4 </span>.
The last term, "the constant", is <span> +4 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span>  1 • 4 = 4</span> 

Step-2 : Find two factors of  4  whose sum equals the coefficient of the middle term, which is  <span> -4 </span>.
<span><span>     </span></span>

<span><span>-4   +   -1   =   -5</span><span>     -2   +   -2   =   -4   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  -2 
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Step-4 : Add up the first 2 terms, pulling out like factors :
                    b • (b-2)
              Add up the last 2 terms, pulling out common factors :
                    2 • (b-2)
Step-5 : Add up the four terms of step 4 :
                    (b-2)  •  (b-2)
             Which is the desired factorization

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