Write the Expression with Only Positive Exponents and Evaluate If $$- \frac { 2 } { 3 } \left( - \frac { 15 } { 4 } y - \frac { 3 } { 10 } x + \frac { 3 } { 4 } \right)$$

question 34

Multiple Choice

Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero real
numbers.
- $$- \frac { 2 } { 3 } \left( - \frac { 15 } { 4 } y - \frac { 3 } { 10 } x + \frac { 3 } { 4 } \right)$$

• A) \(\frac { 5 } { 2 } y + \frac { 1 } { 5 } x + \frac { 1 } { 2 }\)
• B) \(\frac { 5 } { 2 } y + \frac { 1 } { 5 } x - \frac { 1 } { 2 }\)
• C) \(\frac { 5 } { 2 } y - \frac { 1 } { 5 } x - \frac { 1 } { 2 }\)
• D) \(\frac { 5 } { 2 } y - \frac { 1 } { 5 } x + \frac { 1 } { 2 }\)

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Definitions:

Arbitrarily Assigned

Assignments or classifications made without any specific criteria or reason, relying on random choice.

Interval Scale

A scale of measurement in which there are equal distances between measurements but no absolute zero reference point.

Equal Distances

In mathematics and statistics, a concept where the separation between points or values in a sequence or scale is consistent across the sequence.

Absolute Zero

The point on a scale at which no quantity of what is being measured exists, representing a complete absence of that entity.