giúp nốt mk phần này với ạ. cảm ơn nhiều
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1/
1. although
2. around
3. where
4. forward
5. and
6. will
2/ 1B 2F 3E 4A 5D 6C
3/
1. daily
2. wearing
3. would do
4. haven't eaten
5. is being carried
6. rises
7. inexperienced
8. equality
4/
1. which -> who
2. pollute -> polluting
5/
1. not to touch that
2. Tom has met is
3. weren't ill
4. may be built
6/
1. environmentalists
2. affect
3. media
4. responsible
7/
1. T
2. T
3. F
4. F
\(\dfrac{2x-3}{4}.\dfrac{6}{5}=\dfrac{21}{10}\\ \Leftrightarrow\dfrac{2x-3}{4}=\dfrac{7}{4}\\ \Leftrightarrow2x-3=7\\ \Leftrightarrow2x=10\\ \Leftrightarrow x=5\)
Lời giải:
a.
\(G=\frac{x^2-4}{x+1}+\frac{2}{x+1}:\frac{(2x-3)(x+1)-(2x+1)(x-1)}{(x-1)(x+1)}\)
\(=\frac{x^2-4}{x+1}+\frac{2}{x+1}:\frac{-2}{(x-1)(x+1)}=\frac{x^2-4}{x+1}+\frac{2}{x+1}.\frac{(x+1)(x-1)}{-2}\)
\(=\frac{x^2-4}{x+1}-(x-1)=\frac{x^2-4-(x^2-1)}{x+1}=\frac{-3}{x+1}\)
b.
Để $A\in\mathbb{Z}^+$ thì $x+1$ là ước âm của $-3$
$\Rightarrow x+1\in\left\{-1;-3\right\}$
$\Leftrightarrow x\in\left\{-2;-4\right\}$ (tm)
c.
$G< -1\Leftrightarrow \frac{-3}{x+1}+1< 0$
$\Leftrightarrow \frac{x-2}{x+1}< 0$
$\Leftrightarrow x-2<0< x+1$ hoặc $x-2>0>x+1$
$\Leftrightarrow -1< x< 2$ (chọn) hoặc $-1> x>2$ (loại)
Vậy $-1< x< 2$ và $x\neq 1$
Bài 8:
a: Ta có: \(G=\dfrac{x^2-4}{x+1}+\dfrac{2}{x+1}:\left(\dfrac{2x-3}{x-1}-\dfrac{2x+1}{x+1}\right)\)
\(=\dfrac{x^2-4}{x+1}+\dfrac{2}{x+1}:\dfrac{2x^2+2x-3x-3-2x^2+2x-x+1}{\left(x-1\right)\left(x+1\right)}\)
\(=\dfrac{\left(x-2\right)\left(x+2\right)}{x+1}+\dfrac{2}{x+1}\cdot\dfrac{\left(x-1\right)\left(x+1\right)}{-2}\)
\(=\dfrac{\left(x-2\right)\left(x+2\right)}{x+1}+\dfrac{-x+1}{1}\)
\(=\dfrac{x^2-4-\left(x-1\right)\left(x+1\right)}{x+1}\)
\(=\dfrac{x^2-4-x^2+1}{x+1}\)
\(=-\dfrac{3}{x+1}\)
a) \(D=\left(\dfrac{2}{x+2}-\dfrac{4}{x^2+4x+4}\right):\left(\dfrac{2}{x^2-4}+\dfrac{1}{2-x}\right)\)\(=\left(\dfrac{2}{x+2}-\dfrac{4}{\left(x+2\right)^2}\right):\left(\dfrac{2}{\left(x-2\right)\left(x+2\right)}-\dfrac{1}{x-2}\right)\)
\(=\left(\dfrac{2\left(x+2\right)}{\left(x+2\right)^2}-\dfrac{4}{\left(x+2\right)^2}\right):\left(\dfrac{2}{\left(x-2\right)\left(x+2\right)}-\dfrac{x+2}{\left(x-2\right)\left(x+2\right)}\right)\)
\(=\dfrac{2\left(x+2\right)-4}{\left(x+2\right)^2}:\dfrac{2-x-2}{\left(x-2\right)\left(x+2\right)}\)
\(=\dfrac{2x+4-4}{\left(x+2\right)^2}:\dfrac{-x}{\left(x-2\right)\left(x+2\right)}\)
\(=\dfrac{2x}{\left(x+2\right)^2}.\dfrac{\left(x-2\right)\left(x+2\right)}{-x}\)
\(=\dfrac{-2.\left(x-2\right)}{x+2}\)
\(x^2-5x+6=0\\ \Rightarrow\left(x^2-2x\right)-\left(3x-6\right)=0\\ \Rightarrow\left(x-2\right)\left(x-3\right)=0\\ \Rightarrow\left[{}\begin{matrix}x-2=0\\x-3=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=2\\x=3\end{matrix}\right.\)
\(P=\dfrac{-2.\left(x-2\right)}{x+2}\)
Thay \(x=2\), ta có:
\(P=\dfrac{-2.\left(2-2\right)}{2+2}\)
\(=0\)
Thay \(x=3\), ta có:
\(P=\dfrac{-2.\left(3-2\right)}{3+2}\)
\(=-\dfrac{2}{5}\)
Viết lại câu:
6 A
7 A
8 D
9 B
10 C
11 D
12 A
13 B
14 D
15 A
Lỗi sai
1 C => which
2 C => stopped
3 A => bored
4 B => most
5 B => had stopped
6 C => that
7 C => had knowm
8 A => hadn't been
9 D => learned about
10 B => bỏ
11 B => have come
12 A => would have gone
13 C => would have returned
14 C => knew