Question
Use the grouping symbols to interpret the following equation: x8=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
3(x+4)2
Start Fraction 3 left parenthesis x plus 4 right parenthesis over 2 End Fraction
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
3(x+4)2
Start Fraction 3 left parenthesis x plus 4 right parenthesis over 2 End Fraction
2
Answers
GPT-4o mini
To interpret the equation \( x8 = 3(x + 4)2 \), we first clarify what each expression represents based on the grouping symbols.
Among the options provided, we need to identify which expression represents a product. Here's the breakdown of the expressions:
1. **\( x8 \)** - This is not accurately written, but it likely represents \( x \cdot 8 \) (or \( 8x \)), which is indeed a product.
2. **\( 3(x + 4) \)** - This expression represents \( 3 \) multiplied by the quantity \( (x + 4) \), hence it is a product.
3. **\( 3(x + 4)2 \)** - This could represent either \( 3(x + 4) \cdot 2 \) (which is also a product) or \( 3(x + 4)^2 \) (which is not a product).
4. **\( 2 \)** - This is just a number and does not represent a product.
The expressions that contain multiplication are \( 3(x + 4) \) and potentially \( 3(x + 4)2 \) if interpreted as a product.
Therefore, the most straightforward answer indicating a product is:
**\( 3(x + 4) \)** - \( 3 \) multiplied by the quantity \( (x + 4) \).
Among the options provided, we need to identify which expression represents a product. Here's the breakdown of the expressions:
1. **\( x8 \)** - This is not accurately written, but it likely represents \( x \cdot 8 \) (or \( 8x \)), which is indeed a product.
2. **\( 3(x + 4) \)** - This expression represents \( 3 \) multiplied by the quantity \( (x + 4) \), hence it is a product.
3. **\( 3(x + 4)2 \)** - This could represent either \( 3(x + 4) \cdot 2 \) (which is also a product) or \( 3(x + 4)^2 \) (which is not a product).
4. **\( 2 \)** - This is just a number and does not represent a product.
The expressions that contain multiplication are \( 3(x + 4) \) and potentially \( 3(x + 4)2 \) if interpreted as a product.
Therefore, the most straightforward answer indicating a product is:
**\( 3(x + 4) \)** - \( 3 \) multiplied by the quantity \( (x + 4) \).