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\(A=\left(\frac{3}{5}+\frac{47}{13}-\frac{25}{8}+\frac{1}{8}-\frac{8}{13}+\frac{2}{5}\right)\times\frac{2014}{2015}\)
\(A=\left[\left(\frac{3}{5}+\frac{2}{5}\right)+\left(\frac{47}{13}-\frac{8}{13}\right)-\left(\frac{25}{8}-\frac{1}{8}\right)\right]\times\frac{2014}{2015}\)
\(A=\left[1+3-3\right]\times\frac{2014}{2015}\)
\(A=1\times\frac{2014}{2015}\)
\(A=\frac{2014}{2015}\)
Đặt A=\(\dfrac{1}{11}\)+\(\dfrac{1}{12}\)+\(\dfrac{1}{13}\)+...\(\dfrac{1}{69}\)+\(\dfrac{1}{70}\)
=(\(\dfrac{1}{11}\)+\(\dfrac{1}{12}\)+\(\dfrac{1}{13}\)+...\(\dfrac{1}{19}\)+\(\dfrac{1}{20}\))+(\(\dfrac{1}{21}\)+\(\dfrac{1}{22}\)+\(\dfrac{1}{23}\)+...+\(\dfrac{1}{29}\)+\(\dfrac{1}{30}\))+(\(\dfrac{1}{31}\)+\(\dfrac{1}{32}\)+\(\dfrac{1}{33}\)+...+\(\dfrac{1}{59}\)+\(\dfrac{1}{60}\))+...+\(\dfrac{1}{70}\)
Nhận xét:
\(\dfrac{1}{11}\)+\(\dfrac{1}{12}\)+\(\dfrac{1}{13}\)+...+\(\dfrac{1}{19}\)+\(\dfrac{1}{20}\)>\(\dfrac{1}{20}\)+\(\dfrac{1}{20}\)+...+\(\dfrac{1}{20}\)=\(\dfrac{10}{20}\)=\(\dfrac{1}{2}\)
\(\dfrac{1}{21}\)+\(\dfrac{1}{22}\)+\(\dfrac{1}{23}\)+...+\(\dfrac{1}{29}\)+\(\dfrac{1}{30}\)>\(\dfrac{1}{30}\)+\(\dfrac{1}{30}\)+...+\(\dfrac{1}{30}\)=\(\dfrac{10}{30}\)=\(\dfrac{1}{3}\)
\(\dfrac{1}{31}\)+\(\dfrac{1}{32}\)+\(\dfrac{1}{33}\)+...+\(\dfrac{1}{59}\)+\(\dfrac{1}{60}\)>\(\dfrac{1}{60}\)+\(\dfrac{1}{60}\)+...+\(\dfrac{1}{60}\)=\(\dfrac{30}{60}\)=\(\dfrac{1}{2}\)
=>A>\(\dfrac{1}{2}\)+\(\dfrac{1}{3}\)+\(\dfrac{1}{2}\)+\(\dfrac{1}{61}\)+...+\(\dfrac{1}{69}\)+\(\dfrac{1}{70}\)>\(\dfrac{1}{2}\)+\(\dfrac{1}{3}\)+\(\dfrac{1}{2}\)=\(\dfrac{4}{3}\)
=>A>\(\dfrac{4}{3}\)
Vậy: \(\dfrac{1}{11}\)+\(\dfrac{1}{12}\)+\(\dfrac{1}{13}\)+...+\(\dfrac{1}{69}\)+\(\dfrac{1}{70}\)>\(\dfrac{4}{3}\) (ĐPCM)
Thấy đúng cho 1 tick và 1 follow nha!
Chúc bạn học tốt!
dễ thấy vế trái luôn>0 nên 6x>0=> x>0
x>0, bỏ dấu trị tuyệt đối ra ta đc 4x+10=6x
x=5
chúc bạn học giỏi, ăn Tết đc ngon, hehe -_-
HYC-30/1/2022
Answer:
\(\left|x+1\right|+\left|x+2\right|+\left|x+3\right|+\left|x+4\right|=6x\)
Có \(\left|x+1\right|+\left|x+2\right|+\left|x+3\right|+\left|x+4\right|\ge0\)
\(\Rightarrow6x\ge0\)
\(\Rightarrow x\ge0\)
\(\Rightarrow x+1+x+2+x+3+x+4=6x\)
\(\Rightarrow4x+10=6x\)
\(\Rightarrow2x=10\)
\(\Rightarrow x=5\)
\(3\left|x+1\right|=21\)
\(\left|x+1\right|=7\)
\(\Rightarrow\orbr{\begin{cases}x+1=7\\x+1=-7\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=6\\x=-8\end{cases}}\)
Vậy \(x\in\left\{-8;6\right\}\)
Bài 5 chứ nhỉ?
V.
1 When I came home,my mother was cooking dinner
2 My grandpa used to catch dangerous criminals
3 They had to wash the dishes after lunch
4 My father has got a beard and brown eyes
\(583.931+69\left(170+583\right)+31.170\)
\(=583.931+69.170+69.583+31.170\)
\(=593\left(931+69\right)+170\left(69+31\right)\)
\(=593.100.10+170.100\)
\(=100\left(593.10+170\right)\)
\(=100.6000=600000\)
ơ cái huyền
đcm mày sao mày chửi