Answer:
The company needs to produce 264,000 units from 2006 through 2008.
Step-by-step explanation:
Let x represent units produced by company from 2006 to 2008.
We have been given that during 2005, a company produced an average of 2,000 products per month.
The total units produced by company in 2005 would be
units.
The total units produced by company from 2005 to 2008 would be
units.
The average of units produced during four years would be total units
divided by total years (4) that is ![\frac{x+24,000}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B24%2C000%7D%7B4%7D)
We are told that the average of the 4 years should be 200% more than in 2005. Let us find average for 4 years as:
![24,000+24,000\times \frac{200}{100}\\\Rightarrow 24,000+24,000\times 2\\=24,000+48,000\\=72,000](https://tex.z-dn.net/?f=24%2C000%2B24%2C000%5Ctimes%20%5Cfrac%7B200%7D%7B100%7D%5C%5C%5CRightarrow%2024%2C000%2B24%2C000%5Ctimes%202%5C%5C%3D24%2C000%2B48%2C000%5C%5C%3D72%2C000)
We can represent all this information in an equation as:
![\frac{x+24,000}{4}=72,000](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B24%2C000%7D%7B4%7D%3D72%2C000)
![\frac{x+24,000}{4}*4=72,000*4](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B24%2C000%7D%7B4%7D%2A4%3D72%2C000%2A4)
![x+24,000=288,000](https://tex.z-dn.net/?f=x%2B24%2C000%3D288%2C000)
![x+24,000-24,000=288,000-24,000](https://tex.z-dn.net/?f=x%2B24%2C000-24%2C000%3D288%2C000-24%2C000)
![x=264,000](https://tex.z-dn.net/?f=x%3D264%2C000)
Therefore, the company needs to produce 264,000 units from 2006 through 2008.
Answer:
It can be Degree 2 or Degree 3
Explanation:
This is because of the roots of the equation, where the y values are equal to zero. So the only possible roots can be under 3 so that is why it is only Degree 2 and Degree 3.
Answer:
12
Step-by-step explanation:
![5 - x = 3 \\ \\ 5 - 3 = x \\ \\ 2 = x \\ \\ x = 2 \\ \\ 3 {x}^{2} = 3 {(2)}^{2} = 3 \times 4 = 12](https://tex.z-dn.net/?f=5%20-%20x%20%3D%203%20%5C%5C%20%20%5C%5C%205%20%20-%203%20%3D%20x%20%5C%5C%20%20%5C%5C%202%20%3D%20x%20%5C%5C%20%20%5C%5C%20x%20%3D%202%20%5C%5C%20%20%5C%5C%203%20%7Bx%7D%5E%7B2%7D%20%20%3D%203%20%7B%282%29%7D%5E%7B2%7D%20%20%3D%203%20%5Ctimes%204%20%3D%2012)
Answer: x=2
Step-by-step explanation:
Expand.
32−8x=7x+2
Add 8x to both sides.
32=7x+2+8x
Simplify 7x+2+8x7x+2+8x to 15x+215x+2.
32=15x+2
Subtract 22 from both sides.
32−2=15x
Simplify 32−2 to 30.
30=15x
Divide both sides by 15.
30/15=x
Simplify 30/15 to 2
2=x
Switch sides.
x=2