Mọi người giúp mình lẹ vs ạ sắp đến h thi r 🙏🙏🥲
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Xét BPT: \(x^2-8x+15\le0\Leftrightarrow3\le x\le5\Rightarrow D_1=\left[3;5\right]\)
Xét BPT: \(\left(m^2+1\right)x+m\ge23+2mx\)
\(\Leftrightarrow\left(m^2-2m+1\right)x\ge23-m\)
\(\Leftrightarrow\left(m-1\right)^2x\ge23-m\) (1)
- Với \(m=1\Rightarrow\left(1\right)\) trở thành \(0\ge22\) (vô lý) \(\Rightarrow\left(1\right)\) vô nghiệm (loại)
- Với \(m\ne1\Rightarrow\left(m-1\right)^2>0;\forall m\)
\(\left(1\right)\Leftrightarrow x\ge\dfrac{23-m}{\left(m-1\right)^2}\) \(\Rightarrow D_2=\left[\dfrac{23-m}{(m-1)^2};+\infty \right)\)
Hệ đã cho có nghiệm khi và chỉ khi \(D_1\cap D_2\ne\varnothing\)
\(\Rightarrow\dfrac{23-m}{\left(m-1\right)^2}\le5\)
\(\Leftrightarrow23-m\le5\left(m-1\right)^2\)
\(\Leftrightarrow5m^2-9m-18\ge0\Rightarrow\left[{}\begin{matrix}m\ge3\\m\le-\dfrac{6}{5}\end{matrix}\right.\)
a) Ta có :
\(x - y = 5\)
\(\frac{x}{2}=\frac{y}{3}\)
Áp dụng tính chất dãy tỉ số bằng nhau , ta có :
\(\frac{x}{2}=\frac{y}{3}=\frac{x-y}{2-3}=\frac{5}{-1}=-5\)
\(\Rightarrow\hept{\begin{cases}x=-5 . 2 = -10\\y=-5.3=-15\end{cases}}\)
b) Ta có :
\(x - y = 9\)
\(\frac{x}{-2}=\frac{y}{-5}\)
Áp dụng tính chất dãy tỉ số bằng nhau , ta có :
\(\frac{x}{-2}=\frac{y}{-5}=\frac{x-y}{-2-\left(-5\right)}=\frac{9}{3}=3\)
\(\Rightarrow\hept{\begin{cases}x=3. \left(-2 \right)= -6\\y=3 . \left(-5\right) = -15\end{cases}}\)
1 She likes reading books
2 What about going to Dam Sen park?
3 If people pollute the water, a lot of fish won't die
4 Peter is taller than Mary
5 We have lived here for 15 years
6 Peter told Anna that he couldn't go swimming the day after
7 His homework about natural disaster has been finished by him
8 He said that they had done an experiment
9 If Huong tidied her house, her Mom wouldn't feel angry
10 A lot of underwater animals die because of the polluted water
1. She likes reading books.
2. What about going to Dam Sen park?
3. If people pollute the water, a lot of fish will die.
4. Peter is taller than Mary.
5. We have lived here for five years.
6. Peter told Anna that he couldn't go fishing the following day.
7. His homework about natural disasters has been finished (by him).
8. They said that they had done an experiment.
9. If Huong doesn't tidy the house, her mom will feel angry.
10. A lot of underwater animals die because of the polluted water.
Ko nên ước mơ của mình là người yêu của anh Anh chuẩn bị đi làm về chưa em ơi em có thể làm được gì đâu mà đi làm về chưa em ơi em có thể làm được gì đâu mà đi làm về chưa em ơi em có
a. x2 - 2x
⇔ x(x - 2)
b. 3x - 6y
⇔ 3(x - 2y)
c. 5(x + 3y) - 15x(x + 3y)
⇔ (5 - 15x)(x + 3y)
d. 3(x - y) - 5x(y - x)
⇔ 3(x - y) + 5x(x - y)
⇔ (3 + 5x)(x - y)
1 If I were you I would recycle these plastic carrier bags
2 The pilots suddenly struck, so all flights had to be cancelled
3 The polluted environment causes the death of birds and plants
4 The contaminated food leads to people's poor health