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# p(x)=4x/9-c,find c if x=1,2,3,4,5

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p(x)=4x/9-c,find c if x=1,2,3,4,5,

Guest Mar 3, 2017
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What is p?

Davis  Mar 3, 2017
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p(x)=4x/9-c,find c if x=1,2,3,4,5,

$$\begin{array}{|rcll|} \hline p(x) &=& prim(x) \\ \hline p(1) &=& 2 \\ p(2) &=& 3 \\ p(3) &=& 5 \\ p(4) &=& 7 \\ p(5) &=& 11 \\ p(6) &=& 13 \\ p(7) &=& 17 \\ p(8) &=& 19 \\ p(9) &=& 23 \\ p(10) &=& 29 \\ \dots \\ \hline \end{array}$$

$$\begin{array}{|rcll|} \hline p(x) &=& \frac{4x}{9-c} \\ c &=& 9-\frac{4x}{p(x)} \\ \hline \end{array}$$

$$\begin{array}{r|c} \hline x & c \\ \hline 1 & 9-\frac{4\cdot 1}{2} = 7 \\ 2 & 9-\frac{4\cdot 2}{3} = \frac{19}{3} \\ 3 & 9-\frac{4\cdot 3}{5} = \frac{33}{5} \\ 4 & 9-\frac{4\cdot 4}{7} = \frac{47}{7} \\ 5 & 9-\frac{4\cdot 5}{11} = \frac{79}{11} \\ \hline \end{array}$$

heureka  Mar 3, 2017

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