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bài này chúng tớ làm nhiều rùi
neu cau noi the thi thui
\(A=\dfrac{2}{3}.\dfrac{3}{4}.....\dfrac{98}{99}\)
\(A=\dfrac{2.3.4.....98}{3.4.5.....99}\)
\(A=\dfrac{2.\left(3.4.5.....98\right)}{\left(3.4.5.....98\right).99}\)
\(A=\dfrac{2}{99}\)
\(10A=\dfrac{10^{12}-10}{10^{12}-1}=1-\dfrac{9}{10^{12}-1}\)
\(10B=\dfrac{10^{11}+10}{10^{11}+1}=1+\dfrac{9}{10^{11}+1}\)
Vì \(10^{12}-1>10^{11}+1\)
nên \(-\dfrac{9}{10^{12}-1}>-\dfrac{9}{10^{11}+1}\)
hay A>B
a)\(123-5:\left(x+4\right)=38\)
\(5:\left(x+4\right)=123-38\)
\(5:\left(x+4\right)=85\)
\(x+4=5:85\)
\(x=\dfrac{1}{17}-4\)
\(x=-\dfrac{67}{17}\)
b)\(70-5.\left(x-3\right)=45\)
\(5.\left(x-3\right)=70-45\)
\(5.\left(x-3\right)=35\)
\(x-3=35:5\)
\(x-3=7\)
\(x=7+3\)
\(x=10\)
\(\left|x\right|< 3\)
\(\Rightarrow x\in\left\{-2;-1;0;1;2\right\}\)
chúc bạn học tốt
/x/<3\(\Rightarrow\left\{{}\begin{matrix}x< 3\\-x>-3\end{matrix}\right.\)
TH1:x<3\(\Rightarrow\)x{0;1;2}
\(\left(x-2\right)\left(x-4\right)< 0\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x-2< 0\\x-4>0\end{matrix}\right.=>4< x< 2\left(1\right)\\\left\{{}\begin{matrix}x-2>0\\x-4< 0\end{matrix}\right.=>2< x< 4\left(2\right)}\end{matrix}\right.\)(1 ) vô lý=> loại
=> (x-2).(x-4)<0 <=> 2<x<4
b. ta có\(x^2+1>0\forall x\)
=>(x2 -1).(x2+1)<0 <=> (x2 -1)<0 <=> x2<1
<=> -1<x<1
câu c bạn làm tương tự
\(\dfrac{3}{1}+\dfrac{3}{3}+\dfrac{3}{6}+...+\dfrac{3}{x\cdot\left(x+1\right):2}=\dfrac{2015}{336}\\ \dfrac{6}{2}+\dfrac{6}{6}+\dfrac{6}{12}+...+\dfrac{6}{x\cdot\left(x+1\right)}=\dfrac{2015}{336}\\ 6\cdot\dfrac{1}{2}+6\cdot\dfrac{1}{6}+6\cdot\dfrac{1}{12}+...+6\cdot\dfrac{1}{x\cdot\left(x+1\right)}=\dfrac{2015}{336}\\ =6\cdot\left(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+...+\dfrac{1}{x\cdot\left(x+1\right)}\right)=\dfrac{2015}{336}\\ 6\cdot\left(\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+...+\dfrac{1}{x\cdot\left(x+1\right)}\right)=\dfrac{2015}{336}\\ 6\cdot\left(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{x}-\dfrac{1}{x+1}\right)=\dfrac{2015}{336}\\ 6\cdot\left(1-\dfrac{1}{x+1}\right)=\dfrac{2015}{336}\\ 1-\dfrac{1}{x+1}=\dfrac{2015}{336}:6\\ 1-\dfrac{1}{x+1}=\dfrac{2015}{2016}\\ \dfrac{1}{x+1}=1-\dfrac{2015}{2016}\\ \dfrac{1}{x+1}=\dfrac{1}{2016}\\ \Rightarrow x+1=2016\\ x=2016-1\\ x=2015\)
3/ Chu vi hình chữ nhật:
\(\left(\dfrac{1}{4}+\dfrac{3}{10}\right)\cdot2=\dfrac{11}{10}\) (chưa biết đơn vị)
Diện tích hình chữ nhật:
\(\dfrac{1}{4}\cdot\dfrac{3}{10}=\dfrac{11}{20}\) (chưa biết đơn vị)
a: Số số hạng là:
(99-1):2+1=50(số)
Tổng là:
\(\dfrac{100\cdot50}{2}=100\cdot25=2500\)
câu h) đi chị cute ui