M=(1000/2019)-(-1019/2019+2007/2020)
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ta có:\(\left|x-1000\right|+\left|x-2019\right|=\left|-x+1000\right|+\left|x-2019\right|\)
\(\ge\left|-x+1000+x-2019\right|=1019\)
dấu = xảy ra khi \(\left(-x+1000\right).\left(x-2019\right)\ge0\)
\(\Rightarrow1000\le x\le2019\)
\(\hept{\begin{cases}\left|x-2018\right|\ge0\\\left|y-10\right|\ge0\\\left|z-1\right|\ge0\end{cases}}\text{dấu = xảy ra khi }\hept{\begin{cases}x=2018\\y=10\\z=1\end{cases}}\)
Vậy để \(\left|x-1000\right|+\left|x-2018\right|+\left|x-2019\right|+\left|y-10\right|+\left|z-1\right|=1019\) => \(\hept{\begin{cases}x=2018\\y=10\\z=1\end{cases}}\)
a)-2020+(2019-1968)-(2019-2020)=2020+51-(-1)=2071+1=2072
b)-37x16+36x(-37)-2x(-37)=-37x(16+36-2)=-37x50=-1850
c)1000:(-10)2+3.(-5)-(-155).0=-100.2+(-15)-0=-200+-15=-215
( -2007 ) - ( 12 - 2007 )
= -2007 - 12 + 2007
= ( -2007 + 2007 ) -12
= 0 -12
= -12
( 28 + 39 ) + ( 168 - 28 - 39 )
= 28 + 39 + 168 - 28 - 39
= ( 28 - 28 ) + ( 39 - 39 ) + 168
= 0 + 0 + 168
= 168
( 23 - 145 + 59 ) - ( 23 + 59 )
= 23 - 145 + 59 - 23 - 59
= ( 23 - 23 ) + ( 59 - 59 ) -145
= 0 + 0 - 145
= -145
( -23 ) - ( 77 + 1000 )
= -23 - 77 + 1000
= ( -23 -77 ) + 1000
= -1000 + 1000
= 0
( 427 - 2019 ) - ( 27 - 2019 )
= 427 - 2019 - 27 + 2019
= ( 427 - 27 ) - ( 2019 - 2019 )
= 400 - 0
= 400
Bạn k cho mk nha !!!
Giải:
Ta có: N=2019+2020/2020+2021
=>N=2019/2020+2021 + 2020/2020+2021
Vì 2019/2020 > 2019/2020+2021 ; 2020/2021 > 2020/2020+2021
=>M>N
Vậy ...
Chúc bạn học tốt!
Ta có : \(\dfrac{2019}{2020}>\dfrac{2019}{2020+2021}\)
\(\dfrac{2020}{2021}>\dfrac{2020}{2020+2021}\)
\(\Rightarrow\dfrac{2019}{2020}+\dfrac{2020}{2021}>\dfrac{2019+2020}{2020+2021}\)
\(\Rightarrow M>N\)
Ta có: \(A=\left(2020^{2019}+2019^{2019}\right)^{2020}\)
\(=\left(2019^{2019}+2020^{2019}\right)^{2019}\cdot\left(2019^{2019}+2020^{2019}\right)\)
\(\Leftrightarrow\dfrac{A}{B}=\dfrac{\left(2019^{2019}+2020^{2019}\right)^{2019}\cdot\left(2019^{2019}+2020^{2019}\right)}{\left(2020^{2020}+2019^{2020}\right)^{2019}}\)
\(\Leftrightarrow\dfrac{A}{B}=\dfrac{2019^{2019}+2020^{2019}}{2019+2020}>1\)
\(\Leftrightarrow A>B\)
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