Giải hộ mình với mình cần gấp
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a: \(=\dfrac{x^2+x-2x+2-2}{\left(x-1\right)\left(x+1\right)}=\dfrac{x^2-x}{\left(x-1\right)\left(x+1\right)}=\dfrac{x}{x+1}\)
a) \(x^2+2x+3=\left(x^2+2x+1\right)+2=\left(x+1\right)^2+2\ge2\)
Dấu "=" xảy ra khi \(\left(x+1\right)^2+2=2\Rightarrow x=-1\)
Vậy \(MinA=2\)khi \(x=-1\)
c) \(4x^2-4x+5=\left(4x^2-4x+1\right)+4=\left(2x-1\right)^2+4\ge4\)
Dấu "=" xảy ra khi \(\left(2x-1\right)^2+4=4\Rightarrow x=\dfrac{1}{2}\)
Vậy \(MinC=4\) khi \(x=\dfrac{1}{2}\)
a: để \(\dfrac{4}{x}>\dfrac{4}{5}\\ \Rightarrow x< 5\)
mà x là các số tự nhiên
\(\Rightarrow x\in\left\{1;2;3;4\right\}\)
b: để \(\dfrac{1}{9}< \dfrac{x}{9}< \dfrac{4}{9}th\text{ì}1< x< 4\\ \Rightarrow x\in\left\{2;3\right\}\)
A) x>5 => x=1,x=2,x=3,x=4 do hai tử bằng nhau thì phân số nào có mẫu nhỏ hơn sẽ lớn hơn
B) x=2 hoặc x= 3
C) x=7
\(a,\Rightarrow x-2=8\\ \Rightarrow x=10\\ b,\Rightarrow x+12-17=20\\ \Rightarrow x-5=20\\ \Rightarrow x=25\\ c,\Rightarrow11-\left(4x+5\right):3=4\\ \Rightarrow\left(4x+5\right):3=7\\ \Rightarrow4x+5=21\\ \Rightarrow x=4\\ d,\Rightarrow\left(35:x+3\right)\cdot17=136\\ \Rightarrow35:x+3=8\\ \Rightarrow35:x=5\\ \Rightarrow x=7\\ e,\Rightarrow41-\left(2x-5\right)=720:8\cdot5=180\\ \Rightarrow2x-5=-139\\ \Rightarrow2x=-134\\ \Rightarrow x=-67\)
\(2,\\ a,\Rightarrow x^2=4^3:16=64:16=4=2^2=\left(-2\right)^2\\ \Rightarrow\left[{}\begin{matrix}x=2\\x=-2\end{matrix}\right.\\ b,\Rightarrow\left(x-1\right)^2=9=3^2=\left(-3\right)^2\\ \Rightarrow\left[{}\begin{matrix}x-1=3\\x-1=-3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=4\\x=-2\end{matrix}\right.\\ c,\Rightarrow\left(3x-7\right)^5=2^5\\ \Rightarrow3x-7=2\\ \Rightarrow3x=9\Rightarrow x=3\)
a: góc ASB=1/2*180=90 độ=góc ABM
b: ON vuông góc AS
BS vuông góc SA
=>ON//BS
c: góc OIM+góc OBM=180 độ
=>OIMB nội tiếp
c) \(x-\dfrac{10}{3}=\dfrac{7}{15}\cdot\dfrac{3}{5}\)
\(x-\dfrac{10}{3}=\dfrac{7}{25}\)
\(x=\dfrac{7}{25}+\dfrac{10}{3}\)
\(x=\dfrac{271}{75}\)
d) \(x+\dfrac{3}{22}=\dfrac{27}{121}\div\dfrac{9}{11}\)
\(x+\dfrac{3}{22}=\dfrac{3}{11}\)
\(x=\dfrac{3}{11}-\dfrac{3}{22}\)
\(x\) \(=\dfrac{3}{22}\)
e) \(\dfrac{8}{23}\div\dfrac{24}{46}-x=\dfrac{1}{3}\)
\(\dfrac{2}{3}-x=\dfrac{1}{3}\)
\(x=\dfrac{2}{3}-\dfrac{1}{3}\)
\(x=\dfrac{1}{3}\)
f) \(1-x=\dfrac{49}{65}\cdot\dfrac{5}{7}\)
\(1-x=\dfrac{7}{13}\)
\(x=1-\dfrac{7}{13}\)
\(x=\dfrac{6}{13}\)
1 because
2 as long as
3 although
4 so that
5 although
6 even if
7 until
8 while
9 because
10 Although
Câu 3:
\(a,PTHH:Fe+H_2SO_4\to FeSO_4+H_2\\ Fe_2O_3+3H_2SO_4\to Fe_2(SO_4)_3+3H_2O\\ b,n_{H_2}=\dfrac{6,72}{22,4}=0,3(mol)\\ \Rightarrow n_{Fe}=n_{H_2}=0,3(mol)\\ \Rightarrow m_{Fe}=0,3.56=16,8(g)\\ \Rightarrow m_{Fe_2O_3}=32,8-16,8=16(g)\\\)
\(c,V_{dd_{H_2SO_4}}=\dfrac{294}{1,2}=245(ml)\\ n_{FeSO_4}=n_{Fe}=0,3(mol)\\ n_{Fe_2(SO_4)_3}=n_{Fe_2O_3}=\dfrac{16}{160}=0,1(mol)\\ \Rightarrow C_{M_{FeSO_4}}=\dfrac{0,1}{0,245}=0,41M\\ C_{M_{Fe_2(SO_4)_3}}=\dfrac{0,3}{0,245}=1,22M\)
Câu 1:
\(BaCO_3\xrightarrow[]{t^o}BaO+CO_2\uparrow\\ BaO+H_2O\longrightarrow Ba\left(OH\right)_2\\ Ba\left(OH\right)_2+SO_2\longrightarrow BaSO_3+H_2O\\ BaSO_3+2HCl\longrightarrow BaCl_2+SO_2\uparrow+H_2O\)