Let's analyze each of the given numbers to determine if they could be used to specify how many cups of flour should be used in a bread recipe.
1. [tex]\(\frac{4}{7}\)[/tex]:
- This is a fraction and represents a positive quantity that is less than 1. In cooking, fractions are commonly used to specify precise amounts of ingredients. Therefore, [tex]\(\frac{4}{7}\)[/tex] could appropriately specify cups of flour.
2. [tex]\(2 \frac{3}{4}\)[/tex]:
- This is a mixed number which can be converted to an improper fraction or a decimal. Specifically, [tex]\(2 \frac{3}{4}\)[/tex] equals [tex]\(2 + \frac{3}{4}\)[/tex], which is the same as [tex]\(2.75\)[/tex]. This is a positive number and is a typical way to specify measurements in recipes. Thus, [tex]\(2 \frac{3}{4}\)[/tex] is an appropriate quantity for cups of flour.
3. Square root of 3 ([tex]\(\sqrt{3}\)[/tex]):
- The square root of 3 is an irrational number approximately equal to [tex]\(1.732\)[/tex]. While it is a positive number, it is uncommon to see irrational numbers used in recipes due to their lack of exactness in practical measurements. Therefore, [tex]\(\sqrt{3}\)[/tex] is not typically appropriate for specifying ingredients.
4. [tex]\(-3\)[/tex]:
- This is a negative number. Since negative quantities do not make sense in the context of measuring ingredients in a recipe, [tex]\(-3\)[/tex] is clearly inappropriate for specifying how many cups of flour are needed.
Based on this analysis, the numbers that could be used to specify how many cups of flour should be used in a bread recipe are:
[tex]\[
\frac{4}{7} \quad \text{and} \quad 2 \frac{3}{4} \, (or \, 2.75)
\][/tex]
Therefore, the correct choices are:
[tex]\[
[0.5714285714285714, 2.75]
\][/tex]
