Final answer:
After evaluating all the given expressions, none are equivalent to -3 because they either result in a positive value or a value that is not numerically equal to -3.
Step-by-step explanation:
The student's question concerns identifying which expressions are equivalent to -3. To determine this, we must consider the properties of addition, subtraction, and multiplication with negative numbers.
Expression A: 4 is not equivalent to -3 because 4 is positive and -3 is negative.
Expression B: -(-4) is equivalent to 4, since the double negative results in a positive number, which again is not equal to -3.
Expression C: -3-(-5) simplifies to -3 + 5, which is 2. As this is a positive number, it is not equivalent to -3.
Expression D: -3 · \(\frac{3}{4}\) is -2.25, which is not equal to -3.
Expression E: \(\frac{4}{5}\) is a positive fraction and thus not equivalent to -3.
Expression F: 3 · \(\frac{4}{5}\) is 2.4, a positive number, so it is not equal to -3 as well.
Considering these explanations, none of the provided options are equivalent to -3.