Provide an Appropriate Response $x$ -Intercepts At $( - 9,0 )$ And $( 9,0 )$

question 153

Multiple Choice

Provide an appropriate response.
-Which of the following inequalities satisfies the following description: the region inside an ellipse centered at the origin, with $x$ -intercepts at $( - 9,0 )$ and $( 9,0 )$ , and $y$ -intercepts at $( 0,3 )$ and $( 0 , - 3 )$ ?

• A) \(\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 9 } < 1\)
• B) \(\frac { x ^ { 2 } } { 81 } - \frac { y ^ { 2 } } { 9 } < 1\)
• C) \(\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 9 } > 1\)
• D) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 3 } < 1\)

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Definitions:

Hermann Ebbinghaus

A German psychologist best known for his pioneering work on memory and learning, including the discovery of the forgetting curve.

Forgetting Occurs

The process where information once learned and stored in the brain is lost or becomes harder to recall over time.

Encoding Failure

A situation in which information does not enter the brain's long-term memory and thus is forgotten.

Long-Term Memory

The phase of memory in which information is stored for extended periods of time, potentially lifelong, beyond the capacity of short-term or working memory.