Provide an Appropriate Response $f ( x ) = \frac { x } { 2 }$

question 23

Multiple Choice

Provide an appropriate response.
-Graph the functions $f ( x ) = \frac { x } { 2 }$ and $g ( x ) = 3 + \frac { 8 } { x }$ together to identify the values of $x$ for which $\frac { x } { 2 } > 3 + \frac { 8 } { x }$ . Confirm your findings algebraically.

• A) \(( - 2,0 ) \cup ( 8 , \infty )\)
• B) \(( 8 , \infty )\)
• C) \(( - \infty , - 2 ) \cup ( 0,8 )\)
• D) \(( - 2,8 )\)

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Definitions:

Times Interest Earned

A metric to assess a company's ability to meet its debt obligations, calculated as earnings before interest and taxes divided by interest expense.

Balance Sheet

A ledger detailing the assets, liabilities, and equity of shareholders of an enterprise at a specific timeframe.

Income Statement

A financial statement that reports a company's financial performance over a specific accounting period, including revenues, expenses, and profit or loss.

Gross Margin

The difference between sales revenue and the cost of goods sold, often expressed as a percentage of sales.