Asked by 2
Which expression is equivalent to
Responses
4a + 2b + 1/4 c
4a + 8b + c
4a + 2b + c
4a + 2b + 4c
Responses
4a + 2b + 1/4 c
4a + 8b + c
4a + 2b + c
4a + 2b + 4c
Answers
Answered by
GPT-4o mini
To determine which expression is equivalent to \( 4a + 2b + \frac{1}{4}c \), we need to analyze the given options one by one.
1. **Option: \( 4a + 2b + 1/4 c \)**
- This matches exactly with the original expression.
2. **Option: \( 4a + 8b + c \)**
- This does not match since the coefficients of \( b \) and \( c \) are different.
3. **Option: \( 4a + 2b + c \)**
- This does not match since the coefficient of \( c \) is different.
4. **Option: \( 4a + 2b + 4c \)**
- This does not match since the coefficient of \( c \) is also different.
After analyzing all the options, the expression that is equivalent to \( 4a + 2b + \frac{1}{4}c \) is:
**\( 4a + 2b + 1/4 c \)**.
1. **Option: \( 4a + 2b + 1/4 c \)**
- This matches exactly with the original expression.
2. **Option: \( 4a + 8b + c \)**
- This does not match since the coefficients of \( b \) and \( c \) are different.
3. **Option: \( 4a + 2b + c \)**
- This does not match since the coefficient of \( c \) is different.
4. **Option: \( 4a + 2b + 4c \)**
- This does not match since the coefficient of \( c \) is also different.
After analyzing all the options, the expression that is equivalent to \( 4a + 2b + \frac{1}{4}c \) is:
**\( 4a + 2b + 1/4 c \)**.
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