BrynlynnK95718 BrynlynnK95718
  • 03-11-2022
  • Mathematics
contestada

assume that y varies inversely with x. If y = -4 when x = 1/2 , find x when y=2

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BeckamK769211 BeckamK769211
  • 03-11-2022

it is given that x and y have inverse relation

so K = xy

put y = -4 and x = 1/2

[tex]\begin{gathered} k=\frac{1}{2}\times-4 \\ k=-2 \end{gathered}[/tex]

now

y = 2

then'

[tex]\begin{gathered} -2=x\times2 \\ x=\frac{-2}{2} \\ x=-1 \end{gathered}[/tex]

so the value of x = -1

[tex]\begin{gathered} x\infty\frac{1}{y} \\ x=\frac{K}{y} \\ K=xy \end{gathered}[/tex]

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