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- 12 + 3(-x + 7) = -12 -3x - 21 = -3x - 33 = -3(x + 11)
x thuộc BC ( 4 ; -6 )
4 = 22
-6 = 2 . -3
BCNN là : 23 . -3 = -27
B(-27)= { 0 ; -27 ; 27 ; 54 ; -54 ....}
vì -20 < x < -10
\(\Rightarrow x=\left\{-27\right\}\)
Để \(\frac{7}{x-3}\in z\)
=> 7 chia hết cho x - 3
\(\Rightarrow x-3\inƯ_{\left(7\right)}=\left\{\pm1;\pm7\right\}\)
nếu x - 3 = 1 => x = 4 (TM)
x -3 = -1 => x = 2 (TM)
...
rùi bn tự lm típ nhé!
Ta có : a/b = (a+6)/(b+21)
=> a (b+21) = b (a+6)
=> ab + 21a = ab + 6b
=> 21a=6b
=> a/b = 6/21
Mong bạn học tốt ^^
Ta có \(\frac{a}{b}=\frac{a+6}{b+21}\)
\(\Rightarrow a\left(b+21\right)=b\left(a+6\right)\)
\(\Rightarrow ab+21a=ab+6b\)
\(\Rightarrow21a=6b\)
\(\Rightarrow\frac{a}{b}=\frac{6}{21}=\frac{3}{7}\)
\(=\dfrac{7}{10}.\dfrac{8}{3}.20.\dfrac{3}{8}.\dfrac{5}{28}=\dfrac{5}{2}\)
Bài 1 :
\(a\))Ta có :
\(A=\dfrac{54.107-53}{53.107+54}\)\(=\dfrac{\left(53+1\right).107-53}{53.107+54}\)\(=\dfrac{53.107+107-53}{53.107+54}\)\(=\dfrac{53.107+54}{54.107+54}=1\)
\(B=\dfrac{135.269-133}{134.269+133}=\dfrac{\left(134+1\right).269-133}{134.269+133}\)\(=\dfrac{134.269+269-133}{134.269+133}\)\(=\dfrac{134.269+135}{134.269+135}+\dfrac{1}{134.269+135}\)\(=1+\dfrac{1}{134.269+135}\)\(>1\)\(=A\)
\(\Rightarrow A>B\)
~ Học tốt ~
b) Ta có :
\(10A=\dfrac{10^{12}-10}{10^{12}-1}=\dfrac{10^{12}-1-9}{10^{12}-1}=\dfrac{10^{12}-1}{10^{12}-1}+\dfrac{-9}{10^{12}-1}\)\(=1+\dfrac{-9}{10^{12}-1}\)\(\left(1\right)\)
\(10B=\dfrac{10^{11}+10}{10^{11}+1}=\dfrac{10^{11}+1+9}{10^{11}+1}=\dfrac{10^{11}+1}{10^{11}+1}+\dfrac{9}{10^{11}+1}\)\(=1+\dfrac{9}{10^{11}+1}\)\(\left(2\right)\)
Từ \(\left(1\right)+\left(2\right)\Rightarrow A< B\)
\(A=1+3+3^2+...+3^{100}\)
\(\Rightarrow3A=3+3^2+3^3+...+3^{101}\)
\(\Rightarrow2A=3A-A=3+3^2+...+3^{101}-1-3-...-3^{100}=3^{101}-1\)
\(\Rightarrow2A+1=3^{101}-1+1=3^{101}\)
\(\Rightarrow3^n=3^{101}\Rightarrow n=101\) => Chọn C
\(11,\\ \Rightarrow3A=3+3^2+3^3+...+3^{101}\\ \Rightarrow2A=3^{101}-1\\ \Rightarrow2A+1=3^{101}=3^n\\ \Rightarrow n=101\left(C\right)\\ 41,\)
Diện tích phòng là \(6\cdot6\cdot3=108\left(m^2\right)=1080000\left(cm^2\right)\)
Số gạch cần xài là \(1080000:\left(40\cdot40\right)=675\left(viên\right)\)
Vậy bác cần \(108\cdot30000+675\cdot18000=15390000\left(đồng\right)\left(C\right)\)