Four goats eat 8 tin cans in one hour. How long should it take 8 goats to eat 4 tin cans?

15 minutes

Step-by-step explanation:

4 x 8 = 1 hour

with twice the goats and half the cans you divide by 4

The range of x values for which y is unique is 2·π

Step-by-step explanation:

For a function j: X → Y to be invertible, we have that for every y in Y, there is associated only one x which is an element of x

Hence, f(x) = cos(x - π/4) gives

the x intercept at two penultimate points of the graph of cos(x - π/4) are;

x = 2.36, and x = 8.64

x = 3/4·π, and x = 2.75·π =

Hence the range of x values for which y is unique is presented as follows

The range of x values for which y is unique = 2·π.