We have to determine the expression for the statement:
"Nine subtracted from the quotient of twice a number, x, and three"
Expression is
![(2x)/(3) - 9](https://img.qammunity.org/2019/formulas/mathematics/middle-school/9quil5nsl3ahkna9x428abu8enn8wtm12q.png)
We have to evaluate the value of the given expression at x = -6
![(2x)/(3) - 9](https://img.qammunity.org/2019/formulas/mathematics/middle-school/9quil5nsl3ahkna9x428abu8enn8wtm12q.png)
=
![((2 * -6))/(3) - 9](https://img.qammunity.org/2019/formulas/mathematics/middle-school/yc1tt9it47t0ng2kcaglzw2gpch87e6pa8.png)
=
![((-12))/(3) - 9](https://img.qammunity.org/2019/formulas/mathematics/middle-school/vzursyjdcqfx9lhw4sy8x3k1kk5s80k53c.png)
=
![-4 - 9](https://img.qammunity.org/2019/formulas/mathematics/middle-school/uvz33n1zvcepy44mw4xmfxdqxsqsbyxyvb.png)
= -13
So, the value of the expression is -13.