Answer:
![3(x - 1)^2 - 11= 0](https://tex.z-dn.net/?f=3%28x%20-%201%29%5E2%20-%2011%3D%200)
Step-by-step explanation:
Given
![3x^2 - 6x = 8](https://tex.z-dn.net/?f=3x%5E2%20-%206x%20%3D%208)
Required
Rewrite in form of ![3(x - p)^2 + q = 0](https://tex.z-dn.net/?f=3%28x%20-%20p%29%5E2%20%2B%20q%20%3D%200)
![3x^2 - 6x = 8](https://tex.z-dn.net/?f=3x%5E2%20-%206x%20%3D%208)
Subtract 8 from both sides
![3x^2 - 6x - 8 = 8 - 8](https://tex.z-dn.net/?f=3x%5E2%20-%206x%20-%208%20%3D%208%20-%208)
![3x^2 - 6x - 8 = 0](https://tex.z-dn.net/?f=3x%5E2%20-%206x%20-%208%20%3D%200)
Express -8 as 3 - 11;
So, we have:
![3x^2 - 6x + 3 - 11= 0](https://tex.z-dn.net/?f=3x%5E2%20-%206x%20%2B%203%20-%2011%3D%200)
Expand ![3x^2 - 6x + 3](https://tex.z-dn.net/?f=3x%5E2%20-%206x%20%2B%203)
![3(x^2 - 2x + 1) - 11= 0](https://tex.z-dn.net/?f=3%28x%5E2%20-%202x%20%2B%201%29%20-%2011%3D%200)
Factorize the expression in the bracket;
![3(x^2 - x -x + 1) - 11= 0](https://tex.z-dn.net/?f=3%28x%5E2%20-%20x%20-x%20%2B%201%29%20-%2011%3D%200)
![3(x(x - 1) -1(x - 1)) - 11= 0](https://tex.z-dn.net/?f=3%28x%28x%20-%201%29%20-1%28x%20-%201%29%29%20-%2011%3D%200)
![3((x - 1)^2) - 11= 0](https://tex.z-dn.net/?f=3%28%28x%20-%201%29%5E2%29%20-%2011%3D%200)
![3(x - 1)^2 - 11= 0](https://tex.z-dn.net/?f=3%28x%20-%201%29%5E2%20-%2011%3D%200)
By comparison: ![3(x - p)^2 + q = 0](https://tex.z-dn.net/?f=3%28x%20-%20p%29%5E2%20%2B%20q%20%3D%200)
![p= 1](https://tex.z-dn.net/?f=p%3D%201)
![q = -11](https://tex.z-dn.net/?f=q%20%3D%20-11)
Answer: 2 with the remainder of 200
Step-by-step explanation:
first you are going to times 19 cans by 500 mg of sodium and get 9,500
then you are going to subtract 11,000 by 9,500 and get 1,500
lastly you are going to take 1,500 and divide it by 650.
in the end you will get 2 with the remainder of 200.
Answer:
The LCM is 168
Step-by-step explanation:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.