Miriam read a book with an unknown number of pages. The first week, she read five less than 1/3 of the pages. The second week, s
he read 171 more pages and finished the book. Write an equation that represents the total number of pages in the book.
1 answer:
((1/3)x - 5) + 171 = x
combine like terms...move the x’s to one side...
166 = (2/3)x
get x by itself...
166 (3/2) = x
249 = x
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Well if they’re getting a quarter of it, they’re receiving 500, 500 divided by 2 is 250 so I would guess A
-7 is the missing exponent
Answer:
81 7/12
Step-by-step explanation:
75 5/12 - (-6 1/6)= 81 7/12
Answer:
63 = 14
devide 14 on both sides
14/14 cancels out
63/14 = 4.5
the answer is 4.5
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 
.
