Question

Please help I have been stuck this for a while

Answer 1

Option (D)

Explanation:

Given expression is,

x³ × 3 ÷
`(2)/(9)` + 9x - (7 - 6x)

By substituting x =
`(2)/(3)`,

`((2)/(3))^3* 3 / (2)/(9)+9((2)/(3))-[7-6((2)/(3))]`

By using rule PEMDAS,

P - Parenthesis

E - Exponent

M - Multiplication

D - Division

A - Addition

S - Subtraction

`=((2)/(3))^3* 3 / (2)/(9)+9((2)/(3))-[7-4]`

=
`((2)/(3))^3* 3 / (2)/(9)+9((2)/(3))-3`

=
`(8)/(27)* 3 / (2)/(9)+6-3`

=
`(8)/(9)/ (2)/(9)+6-3`

=
`(8)/(9)* (9)/(2)+6-3`

= 4 + 6 - 3

= 7

Option (D) is the answer.