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

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Step-by-step explanation:

The correct answer is:  [D]: " (-5 )x − " .

Explanation:

" -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 )x " ;  

→  The answer is:  " (-5 )x −  " ;  

→   which is:

→   Answer choice:  [D]:  " (-5 )x −  " .

the function makes a strait line horizontally with no x intercept but a y intercept at 9.

hi there!

the answer will be d: 2