Hãy so sánh 430 và 3 . 2410
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a) Vì \(a>b\)\(\Rightarrow2020a>2020b\)
\(\Rightarrow2020a-3>2020b-3\)
b) Vì \(50-2020m< 50-2020n\)\(\Rightarrow2020m>2020n\)
\(\Rightarrow m>n\)
-315/380 = -120015/144780
-316/381 = -120080/144780
Do -120015 > -120080
-120015/144780 > -120080/144780
⇒ -315/380 > -316/381
Ta xét : \(B=\left(2017\right).2019=\left(2018-1\right)\left(2018+1\right)\)
\(B=2018.2018+2018-2018-1\)
\(B=2018.2018-1\)
Mà : \(A=2018.2018\)
\(Dođó:A>B\)
Ví dụ như: big(to) , small(nhỏ) , tall(cao) .
happy(vui vẻ) , easy(dễ) ...
- Hợp chất vô cơ: CO2, Na2CO3
- Hợp chất hữu cơ:
+ Hiđrocacbon: C4H10, C6H6, C3H4
+ Dẫn xuất của hiđrocacbon: C3H8O, CH3Cl, C6H6Cl6
\(2^{333}=\left(2^3\right)^{111}=8^{111}\\ 3^{222}=\left(3^2\right)^{111}=9^{111}\)
VÌ\(8^{111}< 9^{111}\Rightarrow2^{333}< 3^{222}\)
The youth was made empty his pocket by the police
Unless it stop raining, we won't get home
a) \(\dfrac{1}{\sqrt[]{x}-1}+\dfrac{1}{1+\sqrt[]{x}}+1\left(x\ge0;x\ne1\right)\)
\(=\dfrac{\sqrt[]{x}+1+\sqrt[]{x}-1+x-1}{\left(\sqrt[]{x}-1\right)\left(\sqrt[]{x}+1\right)}\)
\(=\dfrac{x+2\sqrt[]{x}-1}{x-1}\)
\(=\dfrac{x-1+2\sqrt[]{x}}{x-1}\)
\(=1+\dfrac{2\sqrt[]{x}}{x-1}\)
b) \(\dfrac{1}{\sqrt[]{x}+2}-\dfrac{2}{\sqrt[]{x}-2}-\dfrac{4}{4-x}\left(x\ge0;x\ne4\right)\)
\(=\dfrac{\sqrt[]{x}-2-2\left(\sqrt[]{x}+2\right)+4}{\left(\sqrt[]{x}+2\right)\left(\sqrt[]{x}-2\right)}\)
\(=\dfrac{\sqrt[]{x}-2-2\sqrt[]{x}-4+4}{\left(\sqrt[]{x}+2\right)\left(\sqrt[]{x}-2\right)}\)
\(=\dfrac{-\sqrt[]{x}-2}{\left(\sqrt[]{x}+2\right)\left(\sqrt[]{x}-2\right)}\)
\(=\dfrac{-\left(\sqrt[]{x}+2\right)}{\left(\sqrt[]{x}+2\right)\left(\sqrt[]{x}-2\right)}\)
\(=\dfrac{-1}{\sqrt[]{x}-2}\)
\(\dfrac{4^{30}}{24^{10}}=\dfrac{2^{30}}{2^{30}\cdot3^{10}}=\dfrac{1}{3^{10}}< 1< 3\)
=>\(4^{30}< 3\cdot24^{10}\)
\(\dfrac{4^{30}}{24^{10}}=\dfrac{2^{30}}{2^{30}\cdot3^{10}}=\dfrac{1}{3^{10}}< 1< 3\)
=>\(4^{30}< 3\cdot24^{10}\)