2.x+3.x=430
75-5.x=30
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\((\)125-120\()\)x45
5x45=225
\(\dfrac{30x25x7x8}{75x8x12x14}\)=\(\dfrac{10\cdot1\cdot7\cdot1}{1\cdot1\cdot1\cdot12\cdot2}\)=\(\dfrac{70}{24}\)
câu 1 : ( 26 - 3x ) : 5 + 71 = 75
( 26 - 3x ) : 5 = 4
26 - 3x =20
3x = 26 - 20
3x=6
x=6: 3
x=2
\(1,\\ \left(x-7\right)^{x+1}-\left(x-7\right)^{x+11}=0\\ \Leftrightarrow\left(x-7\right)^{x+1}\left[1-\left(x-7\right)^{10}\right]=0\\ \Leftrightarrow\left[{}\begin{matrix}\left(x-7\right)^{x+1}=0\\\left(x-7\right)^{10}=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x-7=0\\x-7=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=7\\x=8\end{matrix}\right.\)
\(2,\\ a,\left|2x-3\right|>5\Leftrightarrow\left[{}\begin{matrix}2x-3< -5\\2x-3>5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x< -1\\x>4\end{matrix}\right.\\ b,\left|3x-1\right|\le7\Leftrightarrow\left[{}\begin{matrix}3x-1\le7\\1-3x\le7\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x\le\dfrac{8}{3}\\x\ge-2\end{matrix}\right.\\ c,\cdot x< -\dfrac{3}{2}\\ \Leftrightarrow5-3x+\left(-2x-3\right)=7\Leftrightarrow2-5x=7\Leftrightarrow x=-1\left(ktm\right)\\ \cdot-\dfrac{3}{2}\le x\le\dfrac{5}{3}\\ \Leftrightarrow\left(5-3x\right)+\left(2x+3\right)=7\Leftrightarrow8-x=7\Leftrightarrow x=1\left(tm\right)\\ \cdot x>\dfrac{5}{3}\\ \Leftrightarrow\left(3x-5\right)+\left(2x+3\right)=7\Leftrightarrow5x-2=7\Leftrightarrow x=\dfrac{9}{5}\left(tm\right)\\ \Leftrightarrow S=\left\{1;\dfrac{9}{5}\right\}\)
a)\(x\cdot150+480=430+150\)
\(x\cdot150+480=580\)
\(x\cdot150=580-480=100\)
\(x=100:150=\frac{2}{3}\)
b) \(\frac{5}{9}:x=\frac{2}{5}\)
\(x=\frac{5}{9}:\frac{2}{5}=\frac{25}{18}=1\frac{7}{18}\)
~học tốt~.
\(x\cdot150+480=430+150\)
\(x\cdot150+480=580\)
\(x\cdot150=580-480\)
\(x\cdot150=100\)
\(x=150:100\)
\(x=\frac{3}{2}\)
\(\frac{5}{9}:x=\frac{2}{5}\)
\(x=\frac{5}{9}:\frac{2}{5}\)
\(x=\frac{5}{9}\cdot\frac{5}{2}\)
\(x=\frac{25}{18}\)
Dấu \(\cdot\) là dấu nhân
Ta có S=1/2^2+1/3^2+1/4^2+...+1/9^2
<1/2²+1/2*3+1/3*4+....+1/8*9
=1/2²+1/2-1/3+1/3-1/4+....+1/8-1/9
=1/4+1/2-1/9=23/36<32/36=8/9 (♪)
Ta lại có S=1/2^2+1/3^2+1/4^2+...+1/9^2
>1/2²+1/3*4+1/4*5+....+1/9*10
=1/2²+1/3-1/4+1/4-1/5+........+1/9-1/10
=1/2²+1/3-1/10
=19/20>8/20=2/5 ( ♫)
Từ (♪)( ♫) cho ta đpcm
2.x+3.x=430
=> x ( 2 + 3) = 430
=> x . 5 = 430
=> x = 430 : 5 = 86
75-5.x=30
=> 5x = 75 - 30
=> 5x = 45
=> x= 9
Vậy x = 9
2.x+3.x=430 75-5.x=30
2x+3x=430 75-5x=30
5x=430 5x=45
x=86 x=9