which inequality represents all values of x for which the quotient below is defined? ✓15(x-1) ÷ ✓2x^2

9514 1404 393

  C.  x ≥ 1

Step-by-step explanation:

The content of the radical must be non-negative in both cases. The square of x is already non-negative for any x.

  15(x -1) ≥ 0

  x -1 ≥ 0 . . . . divide by 15; next, add 1

  x ≥ 1 . . . . . matches choice C

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.