(4/9)^-1=

A. -4/9

B. 9/4

C. -9/4

9/4

Step-by-step explanation: Think of as .

Now, we can change 4⁻¹ to 4¹ by moving it to the denominator and

we can change 9⁻¹ to 9¹ by moving it to the numerator.

So we have 9¹/4¹ which simplifies to 9/4.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.