1 và 1/2 : x-4=0,5
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\(A=\frac{1}{2}.\frac{2}{3}\frac{3}{4}.\frac{4}{5}..\frac{5}{6}\)
\(=\frac{1}{6}\)
\(A=\left(1-\frac{1}{2}\right)\left(1-\frac{2}{3}\right)\left(1-\frac{3}{4}\right)\left(1-\frac{4}{5}\right)\left(1-\frac{5}{6}\right)\)
\(=\frac{2-1}{2}.\frac{3-1}{3}.\frac{4-1}{4}.\frac{5-1}{5}.\frac{6-1}{6}\)
\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.\frac{4}{5}.\frac{5}{6}=\frac{1.2.3.4.5}{2.3.4.5.6}=\frac{1}{6}\)
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Ta có : \(\frac{4}{11}.\frac{-2}{9}+\frac{4}{11}\frac{-8}{9}+\frac{4}{11}.\frac{1}{9}\)
= \(\frac{4}{11}.\left(\frac{-2}{9}+\frac{-8}{9}+\frac{1}{9}\right)\)
= \(\frac{4}{11}.\frac{-9}{9}\)
= \(\frac{4}{11}.\left(-1\right)\)
= \(\frac{-4}{11}\)
\(\frac{4}{11}\left(-\frac{2}{9}+-\frac{8}{9}+\frac{1}{9}\right)=\frac{4}{11}1=\frac{4}{11}\)
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(1-1/2)x(1-1/3)x(1-1/4)x.....x(1-1/2015)x(1-1/2016)
=> 1/2 x 2/3 x 3/4 x 4/5 x 5/6 x 6/7 x 7/8 x 8/9 x......... x 2014/2015 x 2015/2016
Ta rút gọn cho tử này mẫu kia còn: 1/2016.
Đáp số : 1/2016
\(=\frac{2-1}{2}\times\frac{3-1}{3}\times\frac{4-1}{4}\times...\times\frac{2015-1}{2015}\times\frac{2016-1}{2016}\)
\(=\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times...\times\frac{2014}{2015}\times\frac{2015}{2016}\)
\(=\frac{1}{2016}\)
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\(\frac{2}{3}\left(x-1\right)+\frac{4}{7}\left(2x-3\right)=\frac{1}{21}\left(x-6\right)\)
\(\frac{2}{3}x-\frac{2}{3}+\frac{8}{7}x-\frac{12}{7}=\frac{1}{21}x-\frac{6}{21}\)
\(\frac{2}{3}x+\frac{8}{7}x-\frac{1}{21}x=\frac{2}{3}+\frac{12}{7}-\frac{6}{21}\)
\(\frac{14}{21}x+\frac{24}{21}x-\frac{1}{21}x=\frac{14}{21}+\frac{36}{21}-\frac{6}{21}\)
\(x\left(\frac{14}{21}+\frac{24}{21}-\frac{1}{21}\right)=\frac{14+36-6}{21}\)
\(\frac{37}{21}x=\frac{44}{21}\)
\(x=\frac{44}{21}:\frac{37}{21}=\frac{44}{37}\)
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(x + 1) + (x + 2) + (x + 3) + (x + 4) = 45
x + 1 + x + 2 + x + 3 + x + 4 = 45
x × 4 + 10 = 45
x × 4 = 45 - 10
x × 4 = 35
x = 35 : 4
x = 8,75
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c)\(TH1:3x+1\ge0\Leftrightarrow x\ge-\frac{1}{3}\)
PT có dạng: \(3x+1=x-2\Leftrightarrow2x=-3\Leftrightarrow x=-\frac{3}{2}\)
x=-3/2 (loại vì không TMĐK)
\(TH2:3x+1< 0\Leftrightarrow x< -\frac{1}{3}\)
PT có dạng: \(3x+1=2-x\Leftrightarrow4x=1\Leftrightarrow x=\frac{1}{4}\)(loại)
vậy PT vô nghiệm
=> 3/2 : x = 4,5
=> 3/2 : 4,5 = 1/3
hok tốt nhé bạn
là sao vậy ạ