Answer:
minimum and value of 4
Step-by-step explanation:
![\frac{dx}{dy} = 2x-8](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdy%7D%20%3D%202x-8)
When
we will be able to get the critical points.
![2x-8 =0](https://tex.z-dn.net/?f=2x-8%20%3D0)
![x=4](https://tex.z-dn.net/?f=x%3D4)
The graph is a quadratic graph with a 'U' shape, thus it has a minimum critical point.
I'm taking "part 3" to mean the 3rd of the posted questions.
If
, then
![f'(x)=(x^3+2x)'\ln x+(x^3+2x)(\ln x)'=(3x^2+2)\ln x+\dfrac{x^3+2x}x](https://tex.z-dn.net/?f=f%27%28x%29%3D%28x%5E3%2B2x%29%27%5Cln%20x%2B%28x%5E3%2B2x%29%28%5Cln%20x%29%27%3D%283x%5E2%2B2%29%5Cln%20x%2B%5Cdfrac%7Bx%5E3%2B2x%7Dx)
![\implies f'(x)=(3x^2+2)\ln x+x^2+2](https://tex.z-dn.net/?f=%5Cimplies%20f%27%28x%29%3D%283x%5E2%2B2%29%5Cln%20x%2Bx%5E2%2B2)
Then when
, we get
.
Answer: 4x° = 80°, 60°, 2x° = 40°
Steps:
4x + 60 + 2x = 180
6x + 60 = 180
6x = 120
x = 20
4x
4(20) = 80
2x
2(20) = 40
Check:
80 + 40 + 60 = 180
180 = 180 ✅
Answer:
27,000$ worth of sales
Step-by-step explanation:
What you need to earn - what you earn monthly = 1/6 of the amount you need to sell.
4000 - 2200 = 1800
1800 is ONE fifteenth of the sales.
1800 * 15 = 27,000.
You must sell MORE than $27,000 worth of sales in order to earn more than $4000.