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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) Responses 4x2−8x=7 4 x squared minus 8 x is equal to 7 −4x2−8x+7 negative 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

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To convert the given phrase into a quadratic equation, we start with the statement: "The product of 4 and a number squared, minus the product of 8 and that same number is 7."

Let the number be represented by \( x \).

  1. The product of 4 and a number squared: \( 4x^2 \).
  2. The product of 8 and that same number: \( 8x \).
  3. Putting it together, we have: \( 4x^2 - 8x = 7 \).

Therefore, the equivalent quadratic equation is:

4x² - 8x = 7.

So the correct response is: 4x² - 8x = 7.