Question

5. If z varies directly with x and inversely with the cube of y,

and x = 12, y = 2, when z = 3 then find z when x = 6 and y = 4.

Answer 1

Step-by-step explanation:

Solution

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z=

27

32

​

Step-by-step explanation:

the initial statement here is z∝

y

2

x

​

To convert to an equation multiply by k the constant of variation:

z=

y

2

kx

​

To find the k use the given condition:

z=18 when x=6 and y=2

z=

y

2

kx

​

k=

x

y

2

z

​

=

6

4×18

​

=12

Equation is z=

y

2

12x

​

When x=8 and y=9

z=

81

12×8

​

=

27

32

​try like this answer must be come