Simplify the Following by Combining Like Terms $\frac { 3 } { 4 } x ^ { 2 } - \frac { 2 } { 5 } x + \frac { 1 } { 2 } + \frac { 3 } { 5 } x ^ { 2 } - \frac { 4 } { 5 } x - \frac { 2 } { 3 }$

question 289

Multiple Choice

Simplify the following by combining like terms.
- $\frac { 3 } { 4 } x ^ { 2 } - \frac { 2 } { 5 } x + \frac { 1 } { 2 } + \frac { 3 } { 5 } x ^ { 2 } - \frac { 4 } { 5 } x - \frac { 2 } { 3 }$

• A) \(\frac { 9 } { 2 } x ^ { 2 } + \frac { 16 } { 5 } x - \frac { 10 } { 3 }\)
• B) \(\frac { 27 } { 20 } x ^ { 2 } - \frac { 6 } { 5 } x - \frac { 1 } { 6 }\)
• C) \(\frac { 27 } { 20 } x ^ { 4 } - \frac { 6 } { 5 } x ^ { 2 } - \frac { 1 } { 6 }\)
• D) \(\frac { 3 } { 20 } x ^ { 6 } - \frac { 1 } { 6 }\)

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Definitions:

Independent

Independent refers to variables or events in statistics and probability that are not affected by each other, meaning the occurrence or change in one does not affect the other's occurrence or value.

Dependent

In statistics, refers to a variable whose values are thought to rely on the effects of other variable(s), typically the outcome in an experiment or study.

Free-Throw Attempts

The number of times a player tries to score points by throwing the basketball from the free-throw line without interference from the opponents.

Score a Point

In competitive contexts, the achievement of earning a point, often contributing to a participant's or team's total score.