Answer:
Option (D)
Step-by-step explanation:
Given expression is,
x³ × 3 ÷ [tex]\frac{2}{9}[/tex] + 9x - (7 - 6x)
By substituting x = [tex]\frac{2}{3}[/tex],
[tex](\frac{2}{3})^3\times 3 \div \frac{2}{9}+9(\frac{2}{3})-[7-6(\frac{2}{3})][/tex]
By using rule PEMDAS,
P - Parenthesis
E - Exponent
M - Multiplication
D - Division
A - Addition
S - Subtraction
[tex]=(\frac{2}{3})^3\times 3 \div \frac{2}{9}+9(\frac{2}{3})-[7-4][/tex]
= [tex](\frac{2}{3})^3\times 3 \div \frac{2}{9}+9(\frac{2}{3})-3[/tex]
= [tex]\frac{8}{27}\times 3 \div \frac{2}{9}+6-3[/tex]
= [tex]\frac{8}{9}\div \frac{2}{9}+6-3[/tex]
= [tex]\frac{8}{9}\times \frac{9}{2}+6-3[/tex]
= 4 + 6 - 3
= 7
Option (D) is the answer.
