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20 tháng 10 2021
Bài 2:
\(\dfrac{x^2-\sqrt{x}}{x+\sqrt{x}+1}-\dfrac{2x+\sqrt{x}}{x}+\dfrac{2\left(x-1\right)}{\sqrt{x}-1}\)
\(=x-\sqrt{x}-2\sqrt{x}-1+2\sqrt{x}+2\)
\(=x-\sqrt{x}+1\)
9 tháng 9 2021
a: Ta có: \(A=\dfrac{2x-3\sqrt{x}-14}{x-7\sqrt{x}+12}-\dfrac{\sqrt{x}+4}{\sqrt{x}-3}-\dfrac{\sqrt{x}-1}{\sqrt{x}-4}\)
\(=\dfrac{2x-3\sqrt{x}-14-x+16-x+4\sqrt{x}-3}{\left(\sqrt{x}-3\right)\left(\sqrt{x}-4\right)}\)
\(=\dfrac{\sqrt{x}-1}{\left(\sqrt{x}-3\right)\left(\sqrt{x}-4\right)}\)
Ta có: \(B=\dfrac{x-2\sqrt{x}+1}{x-4\sqrt{x}+3}\)
\(=\dfrac{\left(\sqrt{x}-1\right)^2}{\left(\sqrt{x}-1\right)\left(\sqrt{x}-3\right)}\)
\(=\dfrac{\sqrt{x}-1}{\sqrt{x}-3}\)
b: Ta có: M=A:B
\(=\dfrac{\sqrt{x}-1}{\left(\sqrt{x}-3\right)\left(\sqrt{x}-4\right)}\cdot\dfrac{\sqrt{x}-3}{\sqrt{x}-1}\)
\(=\dfrac{1}{\sqrt{x}-4}\)
3 tháng 7 2021
1) \(A=\dfrac{x+2+x-\sqrt{x}-x-\sqrt{x}-1}{x\sqrt{x}-1}:\dfrac{\sqrt{x}-1}{5}\)
\(=\dfrac{\left(\sqrt{x}-1\right)^2}{\left(\sqrt{x}-1\right)\left(x+\sqrt{x}+1\right)}\cdot\dfrac{5}{\sqrt{x}-1}\) \(=\dfrac{5}{x+\sqrt{x}+1}\)
2) Ta thấy \(x+\sqrt{x}+1=\sqrt{x}\left(\sqrt{x}+1\right)+1>1\forall x\)
\(\Rightarrow A< 5\)
TP
Thảo Phương
CTVVIP
20 tháng 8 2021
1/ \(n_S=\dfrac{6,4}{32}=0,2;n_{H_2SO_4}=\dfrac{14.70\%}{98}=0,1\)
Bảo toàn nguyên tố S : \(n_S=n_{H_2SO_4\left(lt\right)}=0,2\)
Mà thực tế chỉ thu được 0,1
=> \(H=\dfrac{0,1}{0,2}.100=50\%\)
TP
Thảo Phương
CTVVIP
20 tháng 8 2021
2/ \(n_{N_2}=0,2\left(mol\right);n_{H_2}=0,3\left(mol\right);n_{NH_3}=0,15\left(mol\right)\)
PTHH: \(N_2+3H_2\rightarrow2NH_3\)
Lập tỉ lệ : \(\dfrac{0,2}{1}>\dfrac{0,3}{3}\)=> Sau phản ứng N2 dư, tính theo số mol H2
=> n NH3(lt)= \(\dfrac{0,3.2}{3}=0,2\left(mol\right)\)
Mà thực tế chỉ thu được 0,15 mol
=> \(H=\dfrac{0,15}{0,2}.100=75\%\)
DL
0
DT
Đỗ Thanh Hải
CTVVIP
6 tháng 7 2021
1 because
2 as long as
3 although
4 so that
5 although
6 even if
7 until
8 while
9 because
10 Although
NV
Nguyễn Việt Lâm
Giáo viên
10 tháng 7 2021
\(M=\left(\dfrac{\sqrt{x}}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}+\dfrac{\sqrt{x}+2}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}\right).\dfrac{\sqrt{x}-2}{2}\)
\(=\dfrac{2\left(\sqrt{x}+1\right)\left(\sqrt{x}-2\right)}{2\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}=\dfrac{\sqrt{x}+1}{\sqrt{x}+2}\)
2. Ta có:
\(\sqrt{x}>0\Rightarrow\dfrac{\sqrt{x}+1}{\sqrt{x}+2}>0\) hay \(M>0\)
Lại có: \(M=\dfrac{\sqrt{x}+2-1}{\sqrt{x}+2}=1-\dfrac{1}{\sqrt{x}+2}< 1\)
\(\Rightarrow0< M< 1\Rightarrow M>M^2\)
10 tháng 7 2021
1) Ta có: \(M=\left(\dfrac{\sqrt{x}}{x-4}+\dfrac{1}{\sqrt{x}-2}\right)\cdot\dfrac{\sqrt{x}-2}{2}\)
\(=\dfrac{\sqrt{x}+\sqrt{x}+2}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}\cdot\dfrac{\sqrt{x}-2}{2}\)
\(=\dfrac{2\sqrt{x}+2}{2\left(\sqrt{x}+2\right)}\)
\(=\dfrac{\sqrt{x}+1}{\sqrt{x}+2}\)
DT
Đỗ Thanh Hải
CTVVIP
11 tháng 7 2021
1 Mary asked me who I talked to when i had problems
2 Hoa said she would help her mum cook dinner that night
3 jack advised me to tell my teacher what had happened
4 Nam said his best friend hadn't called him for one week
5 Lucia's mother asked her if she was at the sports center then
6 Tom asked mark what time he had come home the night before
7 Mrs Brown told me not to go to the park when it gets dark
8 Mrs QUang told Trung they had spoken to his parents the day before
9 Minh asked Phuong if he could meet her at 4.30 the day after afternoom
10 Nga said she was staying with her aunt and uncle in the suburbs
14 tháng 8 2023
f: =-1/8-7/6+3/4-1
=-3/24-28/24+18/24-1
=-31/24+18/24-1
=-13/24-1=-37/24
g: \(=6\cdot\dfrac{-8}{27}-3\cdot\dfrac{4}{9}+\dfrac{4}{3}+4\)
=-48/27+4
=108/27-48/27
=60/27
=20/9
h: \(=\left[6\cdot\dfrac{1}{9}+1+1\right]\cdot\left(-3\right)-1\)
=(2/3+2)*(-3)-1
=-2-6-1
=-3-6=-9
A= -x+\(4\sqrt{x}\)+5
A= -x+\(4\sqrt{x}\)-4+9
A= -(x-\(4\sqrt{x}\)+4)+9
A=-(\(\sqrt{x}\)-2)2 +9 ≤9
Dấu "=" xẩy ra khi -(\(\sqrt{x}\)-2)=0
=> x=4
Vậy Max A=9 khi x=4
B=15-x+6\(\sqrt{x}\)
B= -x+6\(\sqrt{x}\)-9+24
B=-(\(\sqrt{x}\)-3)2+24
Dấu "=" xẫy ra khi x=9
Vậy Max B = 24 khi x= 9