We have to determine the expression for the statement:
"Nine subtracted from the quotient of twice a number, x, and three"
Expression is [tex]\frac{2x}{3} - 9[/tex]
We have to evaluate the value of the given expression at x = -6
[tex]\frac{2x}{3} - 9[/tex]
= [tex]\frac{(2 \times -6)}{3} - 9[/tex]
= [tex]\frac{(-12)}{3} - 9[/tex]
= [tex]-4 - 9[/tex]
= -13
So, the value of the expression is -13.