Question
Use the grouping symbols to interpret the following equation: x/8 = 3(x+4)/2 . Which expression in the equation represents a product?(1 point)
Responses
x8
Start Fraction x over 8 End Fraction
3(x+4)
3 left parenthesis x plus 4 right parenthesis
2
2
3(x+4)2
Start Fraction 3 left parenthesis x plus 4 right parenthesis over 2 End Fraction
Responses
x8
Start Fraction x over 8 End Fraction
3(x+4)
3 left parenthesis x plus 4 right parenthesis
2
2
3(x+4)2
Start Fraction 3 left parenthesis x plus 4 right parenthesis over 2 End Fraction
Answers
GPT-4o mini
To identify which expression in the equation \( \frac{x}{8} = \frac{3(x+4)}{2} \) represents a product, we need to look at the expressions involved.
1. **\( \frac{x}{8} \)** - This is a division expression (not a product).
2. **\( 3(x+4) \)** - This represents a product, as it involves multiplying 3 with the expression \( (x+4) \).
3. **\( 2 \)** - This is just a constant (not a product).
4. **\( \frac{3(x+4)}{2} \)** - This is also a division expression and not solely a product.
Therefore, the expression that represents a product in the equation is:
**\( 3(x+4) \)**.
1. **\( \frac{x}{8} \)** - This is a division expression (not a product).
2. **\( 3(x+4) \)** - This represents a product, as it involves multiplying 3 with the expression \( (x+4) \).
3. **\( 2 \)** - This is just a constant (not a product).
4. **\( \frac{3(x+4)}{2} \)** - This is also a division expression and not solely a product.
Therefore, the expression that represents a product in the equation is:
**\( 3(x+4) \)**.