We can use the fact that, for 
,
Notice that
![\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1{1-x}\right]=\dfrac1{(1-x)^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Cdfrac1%7B1-x%7D%5Cright%5D%3D%5Cdfrac1%7B%281-x%29%5E2%7D)
so that
![f(x)=\displaystyle\frac5{(1-x)^2}=5\frac{\mathrm d}{\mathrm dx}\left[\sum_{n=0}^\infty x^n\right]](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdisplaystyle%5Cfrac5%7B%281-x%29%5E2%7D%3D5%5Cfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Csum_%7Bn%3D0%7D%5E%5Cinfty%20x%5En%5Cright%5D)
By the ratio test, this series converges if
so the series has radius of convergence 
.
Answer: f(x) = 8x -1
Step-by-step explanation:
( f + g )x = 3x + 5x + 8 - 9
( f + g)x = 8x - 1
Answer:
Yes, the total cost of Lacey lesson is a split function of hours scheduled
Step-by-step explanation:
The amount Lacey pays for each hour of golf = $15
The amount Lacey pays for equipment rental = $10
The amount Lacy pays for equipment rental for a 3 hours long lesson = $5
Therefore, we have
Let C represent the total cost of Lacey lesson and let t represent the number of hours, we have;
C = $10 + t × $15 for 0 ≤ t ≤ 3
C = $5 + t × $15 for t > 3
Therefore, the total cost of Lacey lesson is a split function of hours scheduled
Hello there! 9+7=16. I hope this helps!
Answer:
Each book cost $37 dollars.
Step-by-step explanation:
351 - 18 = 333
333 ÷ 9 = 37
