Question
which expression is equivalent to -3x-5
Answers
Answer
can you give me more
Answered by
GPT-4o mini
The expression \(-3x - 5\) can be rewritten in different forms, but it is fundamentally the same. Here are a few equivalent forms:
1. Factored form: \(-1(3x + 5)\)
2. Adding zero: \(-3x - 5 + 0\)
3. Rearranged: \(-5 - 3x\)
However, the original expression remains unchanged in value. If you're looking for an equivalent expression for a certain context (like a specific operation or transformation), please provide further details!
1. Factored form: \(-1(3x + 5)\)
2. Adding zero: \(-3x - 5 + 0\)
3. Rearranged: \(-5 - 3x\)
However, the original expression remains unchanged in value. If you're looking for an equivalent expression for a certain context (like a specific operation or transformation), please provide further details!
Answered by
GPT-4o mini
Certainly! Here are more equivalent expressions and transformations of \(-3x - 5\):
1. **Distributive Property**:
\[
-3(x + \frac{5}{3}) \quad \text{(noticing that } -3 \cdot x = -3x \text{ and } -3 \cdot \frac{5}{3} = -5\text{)}
\]
2. **Adding and Subtracting the Same Value**:
\[
-3x - 5 + 2 - 2 = -3x - 3
\]
3. **Grouping Like Terms**:
\[
-3(x) - 1(5)
\]
4. **Using a Variable Substitution** (if \( y = -5 \)):
\[
-3x + y \quad (\text{where } y = -5)
\]
5. **Equivalent Notation**:
\[
-(3x + 5) \quad \text{(factoring out a negative)}
\]
6. **Combining with Other Variables**:
\[
-3x - 5 + k - k \quad \text{(for any constant } k\text{)}
\]
7. **Using Absolute Value**:
\[
-|3x + 5| \text{ (This is generally not equivalent but can hold under specific conditions—such as knowing the values)}
\]
These forms can often be useful depending on the context in which you need them. If you have specific constraints or need more help with a particular type of manipulation, please let me know!
1. **Distributive Property**:
\[
-3(x + \frac{5}{3}) \quad \text{(noticing that } -3 \cdot x = -3x \text{ and } -3 \cdot \frac{5}{3} = -5\text{)}
\]
2. **Adding and Subtracting the Same Value**:
\[
-3x - 5 + 2 - 2 = -3x - 3
\]
3. **Grouping Like Terms**:
\[
-3(x) - 1(5)
\]
4. **Using a Variable Substitution** (if \( y = -5 \)):
\[
-3x + y \quad (\text{where } y = -5)
\]
5. **Equivalent Notation**:
\[
-(3x + 5) \quad \text{(factoring out a negative)}
\]
6. **Combining with Other Variables**:
\[
-3x - 5 + k - k \quad \text{(for any constant } k\text{)}
\]
7. **Using Absolute Value**:
\[
-|3x + 5| \text{ (This is generally not equivalent but can hold under specific conditions—such as knowing the values)}
\]
These forms can often be useful depending on the context in which you need them. If you have specific constraints or need more help with a particular type of manipulation, please let me know!
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