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Neko [114]
3 years ago
6

If the average of 2 and p is equal to the average of 1,6, and p, what is the value of p

Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0

Answer:

p = 8

Step-by-step explanation:

\frac{2+p}{2}=\frac{1+6+p}{3}\\\\\frac{2+p}{2}=\frac{7+p}{3}\\\\

Cross multiply

 (2+p) * 3 = (7 + p) * 2          {Use distributive rule}

2*3 + p*3 = 7*2 + p *2

    6+ 3p   = 14 + 2p          {subtract 2p form both sides}

6 + 3p - 2p= 14

      6 + p  = 14                {Subtract 6 form both sides}

              p = 14 - 6

              p = 8

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Step-by-step explanation:

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     -----------------------

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since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

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Step-by-step explanation:

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What makes the statement true? 7^-2=?<br> A. 49<br> B. 1/49<br> C. 14<br> D. 1/14
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