46.9k views
0 votes
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

User Rhettg
by
8.1k points

2 Answers

4 votes

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 − " .

___________________________________________________

User Zdenek
by
7.7k points
0 votes

Answer:

vcbnvjhgbvnhtrgbhj hy6tyuk

Explanation:

User Garzj
by
7.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories