Answered

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Solve for [tex]x[/tex].

[tex]\[ 3x = 6x - 2 \][/tex]

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Which expression is equivalent to [tex]3(-4.2y - 13.6)[/tex]?

A. [tex]1.2y - 13.6[/tex]
B. [tex]1.2y - 10.6[/tex]
C. [tex]-12.6y - 13.6[/tex]
D. [tex]-12.6y - 40.8[/tex]

Sagot :

GinnyAnswer
To find the expression equivalent to [tex]\(3(-4.2 y - 13.6)\)[/tex], we follow these steps:

1. Distribute the multiplication: Multiply each term inside the parenthesis by 3.
[tex]\[ 3 \cdot (-4.2 y) + 3 \cdot (-13.6) \][/tex]

2. Perform the multiplications:

- For [tex]\(3 \cdot (-4.2 y)\)[/tex]:
[tex]\[ 3 \cdot (-4.2 y) = -12.6 y \][/tex]

- For [tex]\(3 \cdot (-13.6)\)[/tex]:
[tex]\[ 3 \cdot (-13.6) = -40.8 \][/tex]

3. Combine the results:
[tex]\[ -12.6 y - 40.8 \][/tex]

So, the expression equivalent to [tex]\(3(-4.2 y - 13.6)\)[/tex] is [tex]\(-12.6 y - 40.8\)[/tex].

Therefore, the correct choice is:
[tex]\[ \boxed{-12.6 y - 40.8} \][/tex]
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