Solve the Problem $\frac { 1 } { \mathrm { x } ^ { 3 } }$

question 97

Multiple Choice

Solve the problem.
-Write the average of $\frac { 1 } { \mathrm { x } ^ { 3 } }$ and $\frac { 10 } { \mathrm { x } }$ as a simplified rational expression. (Hint: To find the average of two numbers, find their sum and divide by 2 .)

• A) \(\frac { 2 + 20 x ^ { 2 } } { x ^ { 3 } }\)
• B) \(\frac { 1 + 10 x ^ { 3 } } { 2 x ^ { 4 } }\)
• C) \(\frac { 1 + 10 x ^ { 2 } } { 2 x ^ { 3 } }\)
• D) \(\frac { 11 } { 2 x ^ { 3 } + 2 x }\)

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Definitions:

Cognitive Triad

A psychological theory that identifies an individual's beliefs about themselves, their world, and their future as key elements in understanding depression.

Antisocial Personality Disorder

A mental health disorder characterized by a long-term pattern of disregarding or violating the rights of others, lack of empathy, and often criminal behavior.

Psychopath

A mental disorder marked by a lack of empathy, manipulative behavior, and often antisocial tendencies.

Personality Disorders

A group of mental disorders characterized by enduring patterns of behavior, cognition, and inner experience that deviate markedly from the expectations of the individual's culture.