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3 years ago

Does the order of variables matter when combining like terms in algebra

1 answer:

4 0

Answer: No
The order of variables does not matter when combining like terms in algebra, because of the commutative property.

Explanation:
Consider the addition of two algebraic expressions.
f(x) = x³ - 5x² + 3x - 2
g(x) = 6x³ + 10x² - 7x + 9

Add f(x) and g(x).
f(x) + g(x) = x³ - 5x² + 3x - 2 + (6x³ + 10x² - 7x + 9)
= x³ + 6x³ - 5x² + 10x² + 3x - 7x - 2 + 9
= 7x³ + 5x² - 4x + 7

Now add g(x) and f(x) in order to change the order of variable addition.
g(x) + f(x) = 6x³ + 10x² - 7x + 9 + (x³ - 5x² + 3x - 2)
= 6x³ + x³ + 10x² - 5x² - 7x + 3x + 9 - 2
= 7x³ + 5x² - 4x + 7

The two additions yield the same result, although the order of variable was reversed during the addition.

In general, algebraic operations are commutative.

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The budget is one of the three values of earned value management and is also known as _____. a. actual cost b. indirect cost c.

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Answer:

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3 years ago

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3 years ago

The Harrisburg Store has net working capital of $2,715, net fixed assets of $22,407, sales of $31,350, and current liabilities o

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Answer:

1.08 dollars of sales are generated from every $1 in total assets.

Explanation:

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$2,715 = Current Assets - $3,908

Current Assets = $2,715 + $3,908

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3 years ago