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
4 x squared minus 8 x plus 7

−4x2+8x=7
negative 4 x squared plus 8 x is equal to 7

−4x2−8x+7
negative 4 x squared minus 8 x plus 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 mathematical equation, we can break it down as follows:

1. "The product of 4 and a number squared" can be expressed as \(4x^2\).
2. "Minus the product of 8 and that same number" translates to \(-8x\).
3. "is 7" translates to \(= 7\).

Putting it all together, the equation becomes:

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

Thus, the correct response is:

4x²−8x=7