Giải hộ mình với iii
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1: ĐKXĐ: x<>1 và y>=2
\(\left\{{}\begin{matrix}\dfrac{2}{x-1}-\sqrt{y-2}=-1\\\dfrac{3}{x-1}+2\sqrt{y-2}=9\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}\dfrac{4}{x-1}-2\sqrt{y-2}=-2\\\dfrac{3}{x-1}+2\sqrt{y-2}=9\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\dfrac{7}{x-1}=7\\\dfrac{3}{x-1}+2\sqrt{y-2}=9\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x-1=1\\2\sqrt{y-2}=9-3=6\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x-1=1\\\sqrt{y-2}=3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=2\\y-2=9\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x=2\\y=11\end{matrix}\right.\left(nhận\right)\)
2:
a: Phương trình hoành độ giao điểm là:
\(x^2-\left(m-2\right)x-m-4=0\)
\(\text{Δ}=\left[-\left(m-2\right)\right]^2-4\left(-m-4\right)\)
\(=m^2-4m+4+4m+16\)
\(=m^2+20>=20>0\forall m\)
=>(d) luôn cắt (P) tại hai điểm phân biệt
b: Theo Vi-et, ta có:
\(\left\{{}\begin{matrix}x_1+x_2=-\dfrac{b}{a}=\dfrac{-\left[-\left(m-2\right)\right]}{1}=m-2\\x_1\cdot x_2=\dfrac{c}{a}=-m-4\end{matrix}\right.\)
\(\left|x_1+x_2\right|=\left|x_1-x_2\right|\)
=>\(\left[{}\begin{matrix}x_1+x_2=x_1-x_2\\x_1+x_2=-x_1+x_2\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}-2x_2=0\\2x_1=0\end{matrix}\right.\Leftrightarrow x_1\cdot x_2=0\)
=>-m-4=0
=>m+4=0
=>m=-4
Câu 1:
TXĐ:D=R
\(f\left(-x\right)=2\cdot\left(-x\right)^4-3\cdot\left(-x\right)^2+1\)
\(=2x^4-3x^2+1=f\left(x\right)\)
=>f(x) là hàm số chẵn
Câu 5:
Ta có: \(n_{H_2}=\dfrac{14,874}{24,79}=0,6\left(mol\right)\)
Gọi: nA = 3x (mol) ⇒ nB = 2x (mol)
PT: \(A+2HCl\rightarrow AlCl_2+H_2\)
\(2B+6HCl\rightarrow2BCl_3+3H_2\)
Theo PT: \(n_{H_2}=n_A+\dfrac{3}{2}n_B\)
⇒ 0,6 = 3x + 3/2.2x
⇒ x = 0,1 (mol)
⇒ nA = 0,3 (mol), nB = 0,2 (mol)
Mà: mA + mB = 24,9
⇒ 0,3.MA + 0,2.MB = 24,9
\(\Rightarrow M_A=\dfrac{24,9-0,2M_B}{0,3}>60\)
⇒ MB < 34,5 (g/mol) → MB = 27 (g/mol) → Al
MA = 65 (g/mol) → Zn
Câu 6:
a, PT: \(Mg+2HCl\rightarrow MgCl_2+H_2\)
\(Zn+2HCl\rightarrow ZnCl_2+H_2\)
Gọi: \(\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\n_{Zn}=y\left(mol\right)\end{matrix}\right.\) ⇒ 24x + 65y = 19,85 (1)
Theo PT: \(\left\{{}\begin{matrix}n_{MgCl_2}=n_{Mg}=x\left(mol\right)\\n_{ZnCl_2}=n_{Zn}=y\left(mol\right)\end{matrix}\right.\)
\(n_{HCl\left(pư\right)}=2n_{Mg}+2n_{Zn}=2x+2y\left(mol\right)\)
⇒ nHCl (dư) = (2x + 2y).20% (mol)
⇒ 95x + 136y + (2x + 2y).20%.36,5 = 54,09 (2)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=0,15\left(mol\right)\\y=0,25\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Mg}=\dfrac{0,15.24}{19,85}.100\%\approx18,14\%\\\%m_{Zn}\approx81,86\%\end{matrix}\right.\)
b, Ta có: nHCl (pư) = 0,15.2 + 0,25.2 = 0,8 (mol) ⇒ nH2 = 1/2nHCl = 0,4 (mol)
nHCl (dư) = 0,8.20% = 0,16 (mol)
\(\Rightarrow m_{ddHCl}=\dfrac{\left(0,8+0,16\right).36,5}{29,2\%}=120\left(g\right)\)
⇒ m dd sau pư = 19,85 + 120 - 0,4.2 = 139,05 (g)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{HCl}=\dfrac{0,16.36,5}{139,05}.100\%\approx4,20\%\\C\%_{MgCl_2}=\dfrac{0,15.95}{139,05}.100\%\approx10,25\%\\C\%_{ZnCl_2}=\dfrac{0,25.136}{139,05}.100\%\approx24,45\%\end{matrix}\right.\)
1) Vì x=25 thỏa mãn ĐKXĐ nên Thay x=25 vào biểu thức \(A=\dfrac{\sqrt{x}-2}{x+1}\), ta được:
\(A=\dfrac{\sqrt{25}-2}{25+1}=\dfrac{5-2}{25+1}=\dfrac{3}{26}\)
Vậy: Khi x=25 thì \(A=\dfrac{3}{26}\)
2) Ta có: \(B=\dfrac{\sqrt{x}-3}{\sqrt{x}+1}+\dfrac{2x+8\sqrt{x}-6}{x-\sqrt{x}-2}\)
\(=\dfrac{\left(\sqrt{x}-3\right)\left(\sqrt{x}-2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}+\dfrac{2x+8\sqrt{x}-6}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}\)
\(=\dfrac{x-5\sqrt{x}+6+2x+8\sqrt{x}-6}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}\)
\(=\dfrac{3x+3\sqrt{x}}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}\)
\(=\dfrac{3\sqrt{x}\left(\sqrt{x}+1\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}\)
\(=\dfrac{3\sqrt{x}}{\sqrt{x}-2}\)
1 C
2 C
3 C
4 A
5 C
6 B
7 C
8 B
9 C
10 A
11 B
12 A
13 C
14 B
15 A
16 C
17 B
18 A
19 B
20 B
II
1 A
2 C
3 B
4 C
5 B
III
1 second
2 better
3 longest
4 beautiful
5 nationality
a: \(=\dfrac{x^2+x-2x+2-2}{\left(x-1\right)\left(x+1\right)}=\dfrac{x^2-x}{\left(x-1\right)\left(x+1\right)}=\dfrac{x}{x+1}\)
1 ) the city is hit at two in the morning by the earthquake
2 ) the plane had taken off before they arrived at the airport
3) because there was a loud noise next to my door last night , I couldn't sleep
4)If We protect environmemt , We will have a better place to live
5 ) because factories dump waste into rivers and lake , Many rivers and lakes are poisoned
6) English is spoken all over the world