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Lerok [7]
3 years ago
9

Which expressions are equivalent to_____? Check all that apply.

Mathematics
1 answer:
Alinara [238K]3 years ago
5 0

Option 1. (-2)(5x) + (-2)(-\frac{3}{4}) and option 4.-10x + \frac{3}{2} are equivalent to -2(5x-\frac{3}{4} ).

Step-by-step explanation:

Step 1:

The given expression is expanded as follows.

The -2 is multiplied with the 5x and then the -2 is multiplied with the -\frac{3}{4}.

So the expression becomes as follows;

-2(5x-\frac{3}{4} ) = (-2)(5x) + (-2)(-\frac{3}{4}).

This is the first option given so the first expression is equivalent.

Step 2:

-2(5x-\frac{3}{4} ) = (-2)(5x) + (-2)(-\frac{3}{4}) = -10x + \frac{6}{4} = -10x + \frac{3}{2} .

Of the other four options, only the fourth expression has the fraction \frac{3}{2} so the fourth expression is also equivalent.

Expressions 1 and 4 are equivalent to the given expression.

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