Select the quadratic equation that is equivalent to: The product of 4 and a number squared, minus the product of 8 and that same number is 7(1 point)

Question

Responses

−4x2−8x+7
negative 4 x squared minus 8 x plus 7

4x2−8x+7
4 x squared minus 8 x plus 7

4x2−8x=7
4 x squared minus 8 x is equal to 7

−4x2+8x=7

Answer 1

To translate the statement "The product of 4 and a number squared, minus the product of 8 and that same number is 7" into a quadratic equation, let's break it down:

• "The product of 4 and a number squared" translates to \( 4x^2 \).
• "Minus the product of 8 and that same number" translates to \( -8x \).
• "Is 7" indicates that we will set this expression equal to 7.

Putting it all together, the equation becomes:

\[ 4x^2 - 8x = 7 \]

This matches with the response:

4x² - 8x = 7 (4 x squared minus 8 x is equal to 7).