Which of the following relations is a function?
A.
(0, 11), (-8, 2), (0, 8), (-8, -5)

B.
(6, 11), (-8, 2), (0, 8), (-5, 11)

C.
(6, 11), (-8, 2), (0, 8), (0, -5)

D.
(11, 6), (2, -8), (8, 0), (11, -5)

B. (6, 11), (-8, 2), (0, 8), (-5, 11)

Step-by-step explanation:

Functions in a table do not have repeating numbers in the same column such as 0 and 0 again as a an x-coordinate. A, C, and D all have repeating numbers while B does not.

Hope this helps

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: