Perform the Indicated Operations $$\frac { 49 x } { 3 ( 7 x + 1 ) } - \frac { 1 } { 3 x ( 7 x + 1 ) } + \frac { 12 } { x }$$

question 583

Multiple Choice

Perform the indicated operations.
- $$\frac { 49 x } { 3 ( 7 x + 1 ) } - \frac { 1 } { 3 x ( 7 x + 1 ) } + \frac { 12 } { x }$$

• A) \(\frac { 7 ( x + 5 ) } { 21 x ^ { 2 } + 3 x }\)
• B) \(\frac { 49 x ^ { 2 } + 252 x + 35 } { 3 x }\)
• C) \(\frac { 49 x ^ { 2 } + 252 x + 35 } { 21 x ^ { 2 } + 3 x }\)
• D) \(\frac { 7 ( x + 5 ) } { 3 x }\)

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Definitions:

Extraction Cost

The expenses associated with the removal of resources or raw materials from their natural setting.

Optimal Quantity

The amount of a product or service that achieves the best balance between costs and benefits, maximizing utility or profit.

Extract

To remove or take out something by physical or chemical process, often used in reference to natural resources.

Interest Rates

The cost of borrowing money or the return on invested funds, typically expressed as a percentage of the principal amount per year.