Provide an Appropriate Response $f ( x ) = a x ^ { 2 } + 4 x + 5$

question 424

Multiple Choice

Provide an appropriate response.
-For what values of a does the quadratic function $f ( x ) = a x ^ { 2 } + 4 x + 5$ have two $x$ -intercepts?

• A) \(a > \frac { 4 } { 5 }\)
• B) \(a > \frac { 16 } { 5 }\)
• C) \(a < \frac { 4 } { 5 }\)
• D) \(a < \frac { 16 } { 5 }\)

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Definitions:

System-1

A term from cognitive psychology, referring to the fast, automatic, and often unconscious way of thinking.

Emotion

A complex psychological state that involves an individual's subjective experience, physiological response, and behavioral expression.

Reason

Those sentences in the argument that are used to show that the conclusion is true or that it is probably true.