Question

Which expression is equivalent to the expression shown below?

-1/2(-3/2x + 6x + 1) -3x

A)3/2x - 1/2
B)6 3/4x - 1/2
C)-3/4x + 1/2
D)-5 1/4x - 1/2

Answer 1

Answer:d

Step-by-step explanation:

Answer 2

The correct answer is: [D]: " (-5
`(1)/(4)`)x −
`(1)/(2)`" .
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Step-by-step explanation:
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" -1/2(-3/2x + 6x + 1) − 3x " ;

= (-1/2 * -3/2 x) + (-1/2 * 6x) + (-1/2 * 1) − 3x ;


= [ (-1 *-3) /(2*2)] x + (-3x) + (-1/2) ] − 3x ;

= [ (3/4)x − 3x − (1/2) ] − 3x ;

= (3/4)x − 3x − (1/2) − 3x ;

= ?? ; → Combine the "like terms" ;

→ "(3/4)x − 3x − 3x " = ?? ;

→ "(3/4)x − 3x = "(-9/4)x";

→ "(-9/4)x − 3x = "(-21/4)x " = " (-5
`(1)/(4)`)x " ;

→ The answer is: " (-5
`(1)/(4)`)x −
`(1)/(2)` " ;
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→ which is:
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→ Answer choice: [D]: " (-5
`(1)/(4)`)x −
`(1)/(2)` " .
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