Select the quadratic equation that is equivalent to: the

Question

product of negative six and a number squared, plus the
product of five and the same number is thirty-one.
(1 point)
-6x² -5x+31
-6x²+5x
-6x² + 5x = 31
-
-6x²+5x+31
6x25x = 31

Answer 1

To find the quadratic equation equivalent to the given statement, we will break down the phrase step by step.

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

Let's denote the number as \(x\).

1. "The product of negative six and a number squared" is: \[-6x^2\]

2. "The product of five and the same number" is: \[5x\]

3. Putting it all together with the phrase "is thirty-one": \[-6x^2 + 5x = 31\]

Now we can see that the equivalent quadratic equation is: \[-6x^2 + 5x = 31\]

So the correct answer is: \[-6x² + 5x = 31\]