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