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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
c: \(2x^3-50x=0\)
\(\Leftrightarrow2x\left(x-5\right)\left(x+5\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=5\\x=-5\end{matrix}\right.\)
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
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.
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