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ArbitrLikvidat [17]
3 years ago
9

Which expression is equivalent to the expression shown below?

Mathematics
1 answer:
posledela3 years ago
6 0
The correct answer is:  [D]: " (-5 \frac{1}{4})x − \frac{1}{2}" .
_________________________________________________________

Explanation:

_________________________________________________________

 " -1/2(-3/2x + 6x + 1) −<span> 3x " ;

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


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

=   [ (3/4)x </span>− 3x − (1/2) ] −<span> 3x ; 

=   </span>(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 \frac{1}{4})x " ;  

 →  The answer is:  " (-5 \frac{1}{4})x − \frac{1}{2} " ;  
___________________________________________________
 →   which is
:
___________________________________________________ 
 →   Answer choice:  [D]:  " (-5 \frac{1}{4})x − \frac{1}{2} " .
 ___________________________________________________
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