Question

+show work PLEASE HELP!!

Answer 1

28. x=6 29. x=15 30. -56/5 31. -3 32. -10 33. 9.6

Explanation:

The statement "y varies inversely as x" means that there is a constant (a number that doesn't change) k so that

`y=(k)/(x)`

28. y = 12 when x = 3, so
`12=(k)/(3) \Rightarrow k=(12)(3)=36`. Now that you know the value of k (in THIS problem!), plug in 6 for y to find x.

`6=(36)/(x)\\6x=36\\x=6`

All these problems work the same way.

29.
`5=(k)/(6) \Rightarrow 5(6)=k \Rightarrow k=30` Then,
`2=(30)/(x) \Rightarrow 2x = 30 \Rightarrow x=15.`

30.

`4=(k)/(14) \Rightarrow (4)(14)=k \Rightarrow k=56\\-5=(56)/(x) \Rightarrow -5x=56 \Rightarrow x = -(56)/(5)`

31.

`9=(k)/(9) \Rightarrow 81=k\\\\y=(81)/(-27)=-3`