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When #0.3(4x -8)- 0.5( -2.4x+4)# is simplified, what is the resulting expression?

Answer 1

Eva Adamson

Expanding the terms enclosed in parenthesis is the first step towards simplifying this expression:

#color(red)(0.3)(4x - 8) - color(blue)(0.5)(-2.4x + 4) ->#

#(color(red)(0.3) xx 4x) - (color(red)(0.3) xx 8) + (color(blue)(0.5) xx 2.4x) - (color(blue)(0.5) xx 4) ->#

#1.2x - 2.4 + 1.2x - 2#

To finish the simplification, we can next group and combine terms that are similar:

#1.2x + 1.2x - 2.4 - 2#

#(1.2 + 1.2)x - 4.4#

#2.4x - 4.4#

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Answer 2

Hazel Anglin

The simplified form of 0.3(4x - 8) - 0.5(-2.4x + 4) is 1.2x - 2.4.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.