Answer:
Option C is correct.
The answer for the given expression is 0.
Explanation:
Given the statement: Two times the difference of one-third of a number and three. and also variable given is 9.
Let x be the variable or number.
"One-third of a number" means
![(1)/(3)x](https://img.qammunity.org/2019/formulas/mathematics/middle-school/96nnttrzhnpcg4c5e3makikreglxljcad8.png)
Also, "difference of one third of a number and three " means
![(1)/(3)x-3](https://img.qammunity.org/2019/formulas/mathematics/high-school/ankjufwr32bwkc3iwer90vlhnpctif5egw.png)
Now, "Two times the difference of one-third of a number and three" means
![2 * ((1)/(3) x -3)](https://img.qammunity.org/2019/formulas/mathematics/high-school/srqfvqxlz4j4i3mh6drqr1uzixkmwklv4i.png)
Then, the expression for the given statement :
![2 * ((1)/(3) x -3)](https://img.qammunity.org/2019/formulas/mathematics/high-school/srqfvqxlz4j4i3mh6drqr1uzixkmwklv4i.png)
Substitute the value of x =9 in above expression we have;
=
=
= 0
therefore, the answer for the given expression is, 0