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31 tháng 5 2023

1. c

2. b

3. d

4. c

5. a

6. b

7. c

8. a

9. d

10. b

Gọi số người mua là x(người), doanh thu là y(đồng)

(Điều kiện: \(x\in Z^+;y>0\))

Vì doanh thu bằng số người mua nhân với lại giá của bộ quần áo nên y=320000x(đồng)

=>\(320000=\dfrac{y}{x}\)

Số người mua tăng lên 60% và doanh thu cũng tăng thêm 30% nên giá mới sẽ là:

\(\dfrac{y\cdot\left(1+30\%\right)}{x\left(1+60\%\right)}=\dfrac{y}{x}\cdot\dfrac{13}{16}=320000\cdot\dfrac{13}{16}=260000\left(đồng\right)\)

a: ĐKXĐ x>0; x<>1

\(A=\dfrac{x-1}{\sqrt{x}\left(\sqrt{x}-1\right)}\cdot\dfrac{\sqrt{x}-1}{1}=\dfrac{x-1}{\sqrt{x}}\)

b: A<0

=>x-1<0

=>0<x<1

2 tháng 7 2023

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7 tháng 12 2021

\(9,PT\Leftrightarrow x-6=3x-7\left(x\ge6\right)\\ \Leftrightarrow x=\dfrac{1}{2}\left(ktm\right)\\ \Leftrightarrow x\in\varnothing\\ 10,PT\Leftrightarrow3x-2=4x^2-4x+1\left(x\le\dfrac{1}{2}\right)\\ \Leftrightarrow4x^2-7x+3=0\\ \Leftrightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{3}{4}\end{matrix}\right.\left(ktm\right)\Leftrightarrow x\in\varnothing\\ 11,PT\Leftrightarrow\sqrt{x^2+x-1}=2-x\left(x\le2\right)\\ \Leftrightarrow x^2+x-1=x^2-4x+4\\ \Leftrightarrow5x=5\Leftrightarrow x=1\left(tm\right)\\ 12,PT\Leftrightarrow\left(\sqrt{20-x}-4\right)+\left(\sqrt{x+5}-3\right)=0\left(5\le x\le20\right)\\ \Leftrightarrow\dfrac{4-x}{\sqrt{20-x}+4}+\dfrac{x-4}{\sqrt{x+5}+3}=0\\ \Leftrightarrow\left(x-4\right)\left(\dfrac{1}{\sqrt{x+5}+3}-\dfrac{1}{\sqrt{20-x}+4}\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=4\left(tm\right)\\\dfrac{1}{\sqrt{x+5}+3}=\dfrac{1}{\sqrt{20-x}+4}\left(1\right)\end{matrix}\right.\\ \left(1\right)\Leftrightarrow\sqrt{x+5}+3=\sqrt{20-x}+4\\ \Leftrightarrow\left(\sqrt{x+5}-4\right)-\left(\sqrt{20-x}-3\right)=0\\ \Leftrightarrow\dfrac{x-11}{\sqrt{x+5}+4}+\dfrac{x-11}{\sqrt{20-x}+3}=0\\ \Leftrightarrow\left(x-11\right)\left(\dfrac{1}{\sqrt{x+5}+4}+\dfrac{1}{\sqrt{20-x}+3}\right)=0\\ \Leftrightarrow x=11\left(\dfrac{1}{\sqrt{x+5}+4}+\dfrac{1}{\sqrt{20-x}+3}>0\right)\\ \text{Vậy PT có nghiệm }x\in\left\{4;11\right\}\)

7 tháng 12 2021

\(13,PT\Leftrightarrow\sqrt{x-1}+\sqrt{3x-2}=\sqrt{5x+1}\left(x\ge-\dfrac{1}{5}\right)\\ \Leftrightarrow4x-3+2\sqrt{\left(x-1\right)\left(3x-2\right)}=5x+1\\ \Leftrightarrow x+4=2\sqrt{3x^2-5x+2}\\ \Leftrightarrow x^2+8x+16=12x^2-20x+8\\ \Leftrightarrow11x^2-28x-8=0\\ \Delta'=14^2+8\cdot11=284\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{14-2\sqrt{71}}{11}\\x=\dfrac{14+2\sqrt{71}}{11}\end{matrix}\right.\)

\(14,ĐK:x\ge-1\)

Đặt \(\sqrt{x+1}=a\ge0\)

\(PT\Leftrightarrow2\sqrt{a^2-1+2a}-a=4\\ \Leftrightarrow2\sqrt{a^2+2a-1}=a+4\\ \Leftrightarrow4a^2+8a-4=a^2+8a+16\\ \Leftrightarrow3a^2-20=0\\ \Leftrightarrow a^2=\dfrac{20}{3}\Leftrightarrow x+1=\dfrac{20}{3}\Leftrightarrow x=\dfrac{17}{3}\left(tm\right)\)

\(15,ĐK:-3\le x\le6\)

Đặt \(\sqrt{x+3}+\sqrt{6-x}=a\ge0\)

\(\Leftrightarrow\dfrac{a^2-9}{2}=\sqrt{\left(x+3\right)\left(6-x\right)}\\ PT\Leftrightarrow a-\dfrac{a^2-9}{2}=3\\ \Leftrightarrow2a-a^2+9=6\\ \Leftrightarrow a^2-2a-3=0\\ \Leftrightarrow a=3\left(a\ge0\right)\\ \Leftrightarrow\sqrt{x+3}+\sqrt{6-x}=3\\ \Leftrightarrow\sqrt{x+3}-3+\sqrt{6-x}=0\\ \Leftrightarrow\dfrac{x-6}{\sqrt{x+3}+3}-\dfrac{x-6}{\sqrt{6-x}}=0\\ \Leftrightarrow\left[{}\begin{matrix}x=6\left(tm\right)\\\dfrac{1}{\sqrt{x+3}+3}=\dfrac{1}{\sqrt{6-x}}\left(1\right)\end{matrix}\right.\\ \left(1\right)\Leftrightarrow\sqrt{x+3}+3=\sqrt{6-x}\\ \Leftrightarrow\sqrt{x+3}-\left(\sqrt{6-x}-3\right)=0\\ \Leftrightarrow\dfrac{x+3}{\sqrt{x+3}}+\dfrac{x+3}{\sqrt{6-x}+3}=0\\ \Leftrightarrow x=-3\left(\dfrac{1}{\sqrt{x+3}}+\dfrac{1}{\sqrt{6-x}+3}>0\right)\\ \text{Vậy PT có nghiệm }x\in\left\{6;-3\right\}\) 

1 tháng 10 2021

\(R1//R2\)

\(\Rightarrow\left\{{}\begin{matrix}Rtd=\dfrac{R1R2}{R1+R2}=8\Omega\\U2=U1=Ia1.R1=12V\Rightarrow Ia2=\dfrac{U2}{R2}=\dfrac{12}{40}=0,3A\\Ia=Ia1+Ia2=0,3+1,2=1,5A\\Uv=U2=12V\end{matrix}\right.\)

4 tháng 10 2021

a) \(\left|x\right|=3\dfrac{1}{2}\)

\(\Rightarrow\left|x\right|=\dfrac{7}{2}\)

\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{7}{2}\\x=-\dfrac{7}{2}\end{matrix}\right.\)

b) \(\left|x-1,2\right|=2,8\)

\(\Rightarrow\left[{}\begin{matrix}x-1,2=2,8\\x-1,2=-2,8\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=4\\x=-1,6\end{matrix}\right.\)

4 tháng 10 2021

\(a,\left|x\right|=3\dfrac{1}{2}\)

\(\Rightarrow x=\left[{}\begin{matrix}3\dfrac{1}{2}\\-3\dfrac{1}{2}\end{matrix}\right.\)

\(b,\left|x-1,2\right|=2,8\\ \Rightarrow\left[{}\begin{matrix}x-1,2=2,8\\x-1,2=-2,8\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=2,8+1,2=4\\x=-2,8+1,2=-1,6\end{matrix}\right.\)

Vậy \(x\in\left\{4;-1,6\right\}\)

6 tháng 9 2021

Cái gì vậy chơi bài có qué mà chị cho em kết bạn nhé

6 tháng 9 2021

oki em

Ai giúp mình bài này vớiI.(5 points)Complete the conversation between Sara and her father using sentences marked by A-H. The first one has been done for you. Father: Hi Sara. Did you have a good day at school?Sara: (0) ______________G___________________Father: Good, thanks. I played a game of golf.                    Sara: (1) _________________________________Father: Oh! Why was that?Sara: (2) _________________________________Father: Oh well. Did you play tennis this afternoon?Sara: (3)...
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Ai giúp mình bài này với

I.(5 points)Complete the conversation between Sara and her father using sentences marked by A-H. The first one has been done for you.

Father: Hi Sara. Did you have a good day at school?

Sara: (0) ______________G___________________

Father: Good, thanks. I played a game of golf.                    

Sara: (1) _________________________________

Father: Oh! Why was that?

Sara: (2) _________________________________

Father: Oh well. Did you play tennis this afternoon?

Sara: (3) _________________________________

Father: Good for you! We must have a game at the weekend.

Sara: (4) _________________________________

Father: Good idea. Would you like to go now?

Sara: (5) _________________________________

Father: OK. Dinner will be ready at 7, so we can go at about 8.

A. Our teacher said we needed it but it's was boring.

B. OK. But why don't we play today?

C. Where did you play?

D. Mm, I should do my homework first. Let's go later.

E. You're lucky! We had an extra Math lesson.

F. I did. It was really good. I won all my games!

G. Not bad. How was your day?

H. Then we can have dinner after our game.

3
16 tháng 4 2022

1E

2A

3F

4B

5H

16 tháng 4 2022