139k views
3 votes
Write the product of the quantity 2 more than quadruple a number and the quantity 4 less than the product of 6 and a number.

1 Answer

4 votes
Okay, so to solve this we need to write some equations.

Let’s split it into two parts.

The quantity 2 more than quadruple a number

If we call a number x
Quadruple x would be x x 4 which is 4x and then 2 more would be to add two so you get 4x + 2.

Then to do the other half: 4 less than the Product of 6 and a number
So the product of 6 and the number is 6 x x which is x and then take away four so you get 6x -4

You want to find the product so you need to multiply the two expressions

(4x + 2)(6x - 4)

We can use foil to do this
F(irst) = 4x * 6x = 24x^2
O(uter) = -4 * 4x = -16x
I(nner) = 6x * 2 = 12 x
L(ast) = 2 * -4 = -8

Put it together to get
24x^2 -4x -8
Then you can solve this quadratic to get -0.5 and 2/3

Let me know if you have any questions
User Sayra
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories