anonymous
  • anonymous
Help? Suppose w varies directly with x, x varies inversely with y, and y varies inversely with z. Show algebraically how w relates to z.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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asnaseer
  • asnaseer
do you know how to write "w varies directly with x" as an equation?
anonymous
  • anonymous
I don't o.o
asnaseer
  • asnaseer
ok, this can be written as:\[w=ax\]where 'a' is some constant

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anonymous
  • anonymous
so a, being some constant, is part of how it relates to z?
asnaseer
  • asnaseer
yes - thats right. similarly, "x varies inversely with y" can be written as:\[x=\frac{b}{y}\]where 'b' is some other constant
asnaseer
  • asnaseer
finally "y varies inversely with z" can be written as:\[y=\frac{c}{z}\]
anonymous
  • anonymous
well that makes sense now that you put it that way thanks!
asnaseer
  • asnaseer
where 'c' is some other constant
asnaseer
  • asnaseer
now all you need to do is to combine all these equations:\[w=ax\]\[x=\frac{b}{y}\]\[y=\frac{c}{z}\] to get a relation between w and z.

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