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\(C=\frac{8\cdot5-8\cdot2}{16}=\frac{8\cdot(5-2)}{16}=\frac{1\cdot(5-2)}{2}=\frac{1\cdot3}{2}=\frac{3}{2}\)
\(H=\left[\frac{-5}{24}+0,75+\frac{7}{12}\right]:\left[-2\frac{1}{8}\right]\)
\(H=\left[\frac{-5}{24}+\frac{75}{100}+\frac{7}{12}\right]:\left[-\frac{17}{8}\right]\)
\(H=\frac{9}{8}:\left[\frac{-17}{8}\right]=\frac{9}{8}\cdot\frac{8}{-17}=\frac{9}{1}\cdot\frac{1}{-17}=\frac{9}{-17}=\frac{-9}{17}\)
4x-(7+5x)=15+(-29). b,x/11=x+4/33
4x-7-5x=-14. 33x=11(x+4)
4x-5x=14+7. 33x=11x+44
-x=21. 33x-11x=44
x=-21 22x=44
x=44:22=2
d)
đặt A = 1 + 2 + 22 + ... + 280
2A = 2 + 22 + 23 + ... + 281
2A - A = ( 2 + 22 + 23 + ... + 281 ) - ( 1 + 2 + 22 + ... + 280 )
A = 281 - 1 > 281 - 2
e)
đặt \(A=\frac{3}{4}+\frac{8}{9}+\frac{15}{16}+...+\frac{899}{900}\)
\(A=\left(1-\frac{1}{4}\right)+\left(1-\frac{1}{9}\right)+\left(1-\frac{1}{16}\right)+...+\left(1-\frac{1}{900}\right)\)
\(A=\left(1+1+1+...+1\right)-\left(\frac{1}{4}+\frac{1}{9}+\frac{1}{16}+...+\frac{1}{900}\right)\)
\(A=29-\left(\frac{1}{4}+\frac{1}{9}+\frac{1}{16}+...+\frac{1}{900}\right)\)
đặt \(B=\frac{1}{4}+\frac{1}{9}+\frac{1}{16}+...+\frac{1}{900}\)
\(B=\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+...+\frac{1}{30^2}\)
\(B< \frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{29.30}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{29}-\frac{1}{30}\)
\(=1-\frac{1}{30}=\frac{29}{30}< 1\)
\(\Rightarrow A< 29\)
So sánh C và D biết
C=1+13+13^2+...+13^13/1+13+13^2+...+13^12
D=1+11+11^2+...+11^13/1+11+11^2+...+11^12
1) A = \(\frac{-15}{19}.\frac{23}{37}+\frac{14}{37}.\frac{15}{19}=\frac{15}{19}.\frac{-23}{37}+\frac{14}{37}.\frac{15}{19}=\frac{15}{19}.\left(\frac{-23}{37}+\frac{14}{37}\right)=\frac{15}{19}.\frac{-9}{37}=\frac{-135}{703}\)
\(\frac{8,5-8,2}{16}\)=\(\frac{0,3}{16}\)= \(\frac{3}{160}\)=0,01875
\(\frac{11,4-11}{2-13}\)=\(\frac{0,4}{-11}\)=\(\frac{-2}{55}\)
học tốt