Step-by-step explanation:
x=y
y=1/z^3
Now,
for equation,
x=y=1/z^3
x is directly proportional to y and is inversely proportional to the cube of z.
Then, x = y = [tex]$\frac{1}{z}^{3[/tex].
If y exists directly proportional to x then,
y/x = k
⟹ y = kx
If y exists inversely proportional to x then,
yx = k
⟹ y = k/x
Let, x is directly proportional to y.
It suggests that when all other phrases which affect x exist kept constant, x changes at a rate that exists a constant multiple of the rate at which y changes.
Let, x ∝ y
⟹ x = ky, x ∝ y
⟹ x = ky
Where k is constant.
when you exist told that x exists directly proportional to y.
x = y
y = [tex]$\frac{1}{z}^{3[/tex]
From the given information, we get
x = y = [tex]$\frac{1}{z}^{3[/tex]
Here, x is directly proportional to y and is inversely proportional to the cube of z.
Therefore, x = y = [tex]$\frac{1}{z}^{3[/tex].
To learn more about directly proportional and inversely proportional
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