Giúp mình bài này được không?:
1-4=1500
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is going to the party, isn't she
was published in Germany in 1550, wasn't it
are sold all over the world, aren't they
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is used everyday, isn't it
a,1/5+4/11+4/5+7/11
=(1/5+4/5)+(4/11+7/11)
=1+1
=2
Chọn B
1367.54+1367.45+1367
=1367.(54+45+1)
=1367.100
=136700
\(a)A\ge\dfrac{x-\sqrt{x}-3}{\sqrt[]{x}}\Leftrightarrow\dfrac{\sqrt{x}-4}{\sqrt{x}}\ge\dfrac{x-\sqrt{x}-3}{\sqrt{x}}\)
\(\Leftrightarrow\sqrt{x}-4\ge x-\sqrt{x}-3\)
\(\Leftrightarrow x-2\sqrt{x}+1\le0\)
\(\Leftrightarrow(\sqrt{x}-1)^2\le0\)
\(\Leftrightarrow\sqrt{x}-1=0\Leftrightarrow\sqrt{x}=1\Leftrightarrow x=1\left(tm\right)\)
\(b)ĐKXĐ:x>0;x\ne4\)
\(B=\dfrac{x+2\sqrt{x}-10}{x-2\sqrt{x}}+\dfrac{\sqrt{x}-1}{\sqrt{x}-2}-\dfrac{\sqrt{x}+2}{\sqrt{x}}\)
\(=\dfrac{x+2\sqrt{x}-10}{\sqrt{x}\left(\sqrt{x}-2\right)}+\dfrac{\sqrt{x}(\sqrt{x}-1)}{\sqrt{x}\left(\sqrt{x}-2\right)}-\dfrac{(\sqrt{x}+2)(\sqrt{x}-2)}{\sqrt{x}\left(\sqrt{x}-2\right)}\)
\(=\dfrac{x+2\sqrt{x}-10+x-\sqrt{x}-x+4}{\sqrt{x}\left(\sqrt{x}-2\right)}\)
\(=\dfrac{x+\sqrt{x}-6}{\sqrt{x}\left(\sqrt{x}-2\right)}=\dfrac{(\sqrt{x}+3)\left(\sqrt{x}-2\right)}{\sqrt{x}\left(\sqrt{x}-2\right)}\)
\(=\dfrac{\sqrt{x}+3}{\sqrt{x}}\left(đpcm\right)\)
\(c)\dfrac{A}{B}=\dfrac{\sqrt{x}-4}{\sqrt{x}+3}\Rightarrow\left|\dfrac{A}{B}\right|=\dfrac{\left|\sqrt{x}-4\right|}{\sqrt{x}+3}\left(vì\sqrt{x}+3>0\right)\)
Xét các TH:
\(TH1:\sqrt{x}-4< 0\Leftrightarrow\sqrt{x}< 4\Leftrightarrow x< 16\left(1\right)\)
\(\Rightarrow\left|\dfrac{A}{B}\right|=\dfrac{4-\sqrt{x}}{\sqrt{x}+3}\)
\(\left|\dfrac{A}{B}\right|>\dfrac{A}{B}\Leftrightarrow\dfrac{4-\sqrt{x}}{\sqrt{x}+3}>\dfrac{\sqrt{x}-4}{\sqrt{x}+3}\)
\(\Leftrightarrow4-\sqrt{x}>\sqrt{x}-4\Leftrightarrow2\sqrt{x}< 8\Leftrightarrow\sqrt{x}< 4\)
\(\Leftrightarrow x< 16\left(2\right)\)
Từ (1)(2) suy ra x<16 suy ra x lớn nhất bằng 15
\(TH2:\sqrt{x}-4\ge0.\) Giai tương tự TH1 suy ra loại
a, đkxđ: \(x\ge0\)
\(A=\dfrac{\sqrt{x}}{\sqrt{x}+3}=\dfrac{1}{4}\Leftrightarrow\sqrt{x}+3=4\sqrt{x}\Leftrightarrow3=3\sqrt{x}\Leftrightarrow\sqrt{x}=1\Leftrightarrow\left(\sqrt{x}\right)^2=1^2\Leftrightarrow x=1\)
b,
\(B=\dfrac{2\sqrt{x}-2}{x-2\sqrt{x}+1}+\dfrac{\sqrt{x}+1}{\sqrt{x}-1}=\dfrac{2\sqrt{x}-2}{\left(\sqrt{x}-1\right)^2}+\dfrac{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}{\left(\sqrt{x}-1\right)^2}=\dfrac{2\sqrt{x}-2+x-1}{\left(\sqrt{x}-1\right)^2}=\dfrac{\left(\sqrt{x}+1\right)^2-4}{\left(\sqrt{x}-1\right)^2}=\dfrac{\left(\sqrt{x}-1\right)\left(\sqrt{x}+3\right)}{\left(\sqrt{x}-1\right)^2}=\dfrac{\sqrt{x}+3}{\sqrt{x}-1}\)
c,
\(A.B< 0\Leftrightarrow\dfrac{\sqrt{x}}{\sqrt{x}+3}.\dfrac{\sqrt{x}+3}{\sqrt{x}-1}< 0\Leftrightarrow\dfrac{\sqrt{x}}{\sqrt{x}-1}< 0\)
do \(\sqrt{x}\ge0\) mà \(\frac{\sqrt{x}}{\sqrt{x}-1}<0\Leftrightarrow \sqrt{x}-1<0\Leftrightarrow \sqrt{x}<1\Leftrightarrow x<1\)
Gọi \(M\left(x;y\right)\) là 1 điểm bất kì trên (E) \(\Rightarrow\dfrac{x^2}{16}+\dfrac{y^2}{9}=1\) (1)
Gọi \(M'\left(x';y'\right)\) là ảnh của M qua phép tịnh tiến \(\overrightarrow{v}\Rightarrow M'\in\left(E'\right)\) với (E') là ảnh của (E) qua phép tịnh tiến nói trên
\(\left\{{}\begin{matrix}x'=x+3\\y'=y-2\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x=x'-3\\y=y'+2\end{matrix}\right.\)
Thế vào (1):
\(\dfrac{\left(x'-3\right)^2}{16}+\dfrac{\left(y'+2\right)^2}{9}=1\)
Hay pt (E') có dạng: \(\dfrac{\left(x-3\right)^2}{16}+\dfrac{\left(y+2\right)^2}{9}=1\)
bán sai đề rồi phải là 1'=>4=1505 có nghĩa là 1 phút suy tư bằng 1 năm ko ngủ