Ask a New Question
Menu

Select the quadratic equation that is equivalent to: the product of negative six and a number squared, plus the product of five and the same number is thirty-one.(1 point)

6x^2 - 5x = 31
-6x^2 + 5x + 31
-6x^2 + 5x = 31
-6x^2 - 5x + 31

what is the correct answer?

1 answer

Let's first translate the given statement into a mathematical equation.

The statement is: "the product of negative six and a number squared, plus the product of five and the same number is thirty-one."

This can be broken down as follows:

  • "the product of negative six and a number squared" translates to \(-6x^2\).
  • "the product of five and the same number" translates to \(5x\).
  • "is thirty-one" translates to \(= 31\).

Putting it all together, we get the equation:

\[ -6x^2 + 5x = 31 \]

Thus, the correct answer is:

-6x^2 + 5x = 31