Question

Please help I have been stuck this for a while

Answer 1

Answer:

Option (D)

Step-by-step explanation:

Given expression is,

x³ × 3 ÷ $\frac{2}{9}$ + 9x - (7 - 6x)

By substituting x = $\frac{2}{3}$,

$(\frac{2}{3})^3\times 3 \div \frac{2}{9}+9(\frac{2}{3})-[7-6(\frac{2}{3})]$

By using rule PEMDAS,

P - Parenthesis

E - Exponent

M - Multiplication

D - Division

A - Addition

S - Subtraction

$=(\frac{2}{3})^3\times 3 \div \frac{2}{9}+9(\frac{2}{3})-[7-4]$

= $(\frac{2}{3})^3\times 3 \div \frac{2}{9}+9(\frac{2}{3})-3$

= $\frac{8}{27}\times 3 \div \frac{2}{9}+6-3$

= $\frac{8}{9}\div \frac{2}{9}+6-3$

= $\frac{8}{9}\times \frac{9}{2}+6-3$

= 4 + 6 - 3

= 7

Option (D) is the answer.