Question
6. Which of the following mathematical expressions is equivalent to the verbal expression "A number, x,
squared is 39 more than the product of 10 and x" ?
F. 2x = 39 + 10x
G. 2x = 39х + 10x
H. 1=39 - 10x
J. *7=39 + 1°
K. *7=39 + 10x
squared is 39 more than the product of 10 and x" ?
F. 2x = 39 + 10x
G. 2x = 39х + 10x
H. 1=39 - 10x
J. *7=39 + 1°
K. *7=39 + 10x
Answers
GPT-4o mini
To translate the verbal expression "A number, x, squared is 39 more than the product of 10 and x" into a mathematical expression, let's break it down:
1. "A number, x, squared" translates to \( x^2 \).
2. "is" translates to \( = \).
3. "39 more than" translates to \( 39 + \).
4. "the product of 10 and x" translates to \( 10x \).
Putting it all together, we get the equation:
\[ x^2 = 39 + 10x \]
Now, we can rearrange this equation to match the provided options:
\[ x^2 - 10x - 39 = 0 \]
None of the options listed match this exact form directly, but we need to find a form that can be rearranged into the equation that represents \( x^2 = 39 + 10x \).
Looking through the options, **none are directly correct, but** if we rearranged the expression \( 2x = 39 + 10x \) to find \( x^2 \), it still does not hold.
From all of the options given, it seems there is a misunderstanding in reading the equations, but the closest correct expression derived from the verbal representation based on standard conventions was \( x^2 = 39 + 10x \).
So the answer is not explicitly listed among the options provided.
Based on provided options and the original translation, they do not represent the correct mathematical expression \( x^2 = 39 + 10x \).
1. "A number, x, squared" translates to \( x^2 \).
2. "is" translates to \( = \).
3. "39 more than" translates to \( 39 + \).
4. "the product of 10 and x" translates to \( 10x \).
Putting it all together, we get the equation:
\[ x^2 = 39 + 10x \]
Now, we can rearrange this equation to match the provided options:
\[ x^2 - 10x - 39 = 0 \]
None of the options listed match this exact form directly, but we need to find a form that can be rearranged into the equation that represents \( x^2 = 39 + 10x \).
Looking through the options, **none are directly correct, but** if we rearranged the expression \( 2x = 39 + 10x \) to find \( x^2 \), it still does not hold.
From all of the options given, it seems there is a misunderstanding in reading the equations, but the closest correct expression derived from the verbal representation based on standard conventions was \( x^2 = 39 + 10x \).
So the answer is not explicitly listed among the options provided.
Based on provided options and the original translation, they do not represent the correct mathematical expression \( x^2 = 39 + 10x \).