Question

If r(x)=3x-1 and s(x)= 2x+1, which expression is equivalent to (r/s)(6)

Answer 1

The expression equivalent to (r/s)(6) is 17/13, calculated by first finding r(6) which is 17 and s(6) which is 13 and then dividing r(6) by s(6).

Step-by-step explanation:

To find the expression equivalent to (r/s)(6), we need to evaluate r(x) and s(x) at x=6, and then divide the result of r(6) by s(6). The functions r(x) and s(x) are given as r(x)=3x-1 and s(x)= 2x+1, respectively.

First, let's evaluate r(6):

r(6) = 3×6 - 1 = 18 - 1 = 17.

Now, let's evaluate s(6):

s(6) = 2×6 + 1 = 12 + 1 = 13.

To find (r/s)(6), we divide r(6) by s(6):

(r/s)(6) = r(6) / s(6) = 17 / 13.

Therefore, the expression equivalent to (r/s)(6) is 17/13.

Answer 2

(r/s)(6)=
`(r(6))/(s(6))= (3(6)-1)/(2(6)+1)= (18-1)/(12+1)= (17)/(13)`