Final answer:
The question asks for equivalent expressions to 3-8/3-4. After clarifying and simplifying the expression, we determined that the equivalent expressions are 3-12 (A) and 13/12 (F).
Step-by-step explanation:
The question is asking us to determine which expressions are equivalent to 3−83−4. First, let's clarify this expression. The symbols − and − can stand for subtraction or negative signs, making the expression ambiguous. However, we can interpret this as a subtraction problem with mixed numbers, which would be processed as 3 minus 8 thirds minus 4. Converting the mixed numbers to improper fractions, we get: 3−(8/3)−4 which simplifies to (9/3)−(8/3)−(12/3). This simplifies to 1/3−(12/3), or 1/3− 4, which then further simplifies to −(⅔).
When we look for equivalent expressions, we have the following options:
- A) 3−12 is correct because it is the simplified form of 3 minus 8/3 minus 4, which is −3 1/3.
- B) 3−4 is incorrect because it simplifies to −1, which is not the same as −3 1/3.
- C) 3² is incorrect as this represents 3 squared, or 9, which is not the same as −3 1/3.
- D) 13² is incorrect because it represents 1/3 squared, which is 1/9, not the same as −3 1/3.
- E) 13´ could be construed as 13 to the power of 4 or 1/3 to the power of 4, but both interpretations are incorrect.
- F) 13⅜ is correct because it represents 1/3 minus 8/3 minus 4, which is −3 1/3.