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Bài 4:
a: k=y/x=7/10
b: y=7/10x
c: Khi x=-6 thì y=-7/10*6=-42/10=-21/5
Khi x=1/7 thì y=1/7*7/10=1/10
![](https://rs.olm.vn/images/avt/0.png?1311)
c: \(2x^3-50x=0\)
\(\Leftrightarrow2x\left(x-5\right)\left(x+5\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=5\\x=-5\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
56 If he doesn't change his way of living, he will meet a lot of troubles
57 Doing the homework is important
58 Peter is the most intelligent in this class
59 She is too young to get married
![](https://rs.olm.vn/images/avt/0.png?1311)
7. How often does he go to the library?
8. ....is the shortest student in his class.
9......is her address?
10... is shorter than Ba.
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5) BPT \(\Leftrightarrow\dfrac{30x-45}{60}-\dfrac{20x+20}{60}>\dfrac{30}{60}-\dfrac{36-12x}{60}\)
\(\Leftrightarrow10x-65>12x-6\) \(\Leftrightarrow-2x>59\) \(\Leftrightarrow x< -\dfrac{59}{2}\)
Vậy ...
7) ĐK: \(x\ne-3\)
BPT \(\Leftrightarrow\dfrac{x+1}{x+3}-1>0\) \(\Leftrightarrow\dfrac{x+1}{x+3}-\dfrac{x+3}{x+3}>0\) \(\Leftrightarrow\dfrac{-2}{x+3}>0\)
\(\Rightarrow x+3< 0\) \(\Leftrightarrow x< -3\)
Vậy ...
9) Sửa đề: \(\dfrac{x^2+2x+2}{x^2+3}\ge1\)
\(\Leftrightarrow\dfrac{x^2+2x+2}{x^2+3}-1\ge0\) \(\Leftrightarrow\dfrac{x^2+2x+2}{x^2+3}-\dfrac{x^2+3}{x^2+3}\ge0\) \(\Leftrightarrow\dfrac{2x-1}{x^2+3}\ge0\)
\(\Rightarrow2x-1\ge0\) \(\Leftrightarrow x\ge\dfrac{1}{2}\)
Vậy ...
11) BPT \(\Leftrightarrow3x-2\le0\) \(\Leftrightarrow x\le\dfrac{2}{3}\)
Vậy ...
13 D
14 A
17 D
21 A
22 D
23 A
28 C
31 C
32 C