Factor completely.

5x 2 + 10x - 40

(x + 4)(x - 2)

Step-by-step explanation:

For factoring when there's a coefficient on the leading variable, I use the "slip n' slide" method (my teacher called it that, I had no part in naming it), but when that fails, you can use the quadratic formula.

First, you "slip" the leading coefficient to the end, and multiply.

5x² + 10x - 40

x² + 10x - 200

Now, you factor it normally.

x² + 10x - 200

= (x + 20)(x - 10)

Then, you divide the 2nd part in each parentheses with the coefficient you slipped in the beginning. This is super important! I always had trouble remembering this step, so hopefully you won't.

(x + 20/5)(x - 10/5)

= (x + 4)(x - 2)

I hope this helped!

76%

step-by-step explanation:

24% are dogs and the remaining is 76% because 100-24=76

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.