C, -1/25-9/25 _< x/5_< 1/2 - 3/10
Giúp nhanh hộ mik vs ạ mik đag cần gấp.
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(x-2)3=216
=>\(\left(x-2\right)^3=6^3\)
=>x-2=6
=>x=8
a: \(x+\dfrac{3}{9}=\dfrac{7}{6}\cdot\dfrac{2}{3}\)
=>\(x+\dfrac{1}{3}=\dfrac{14}{18}=\dfrac{7}{9}\)
=>\(x=\dfrac{7}{9}-\dfrac{1}{3}=\dfrac{7}{9}-\dfrac{3}{9}=\dfrac{4}{9}\)
b: \(x-\dfrac{2}{3}=\dfrac{1}{8}:\dfrac{5}{4}\)
=>\(x-\dfrac{2}{3}=\dfrac{1}{8}\cdot\dfrac{4}{5}=\dfrac{1}{10}\)
=>\(x=\dfrac{1}{10}+\dfrac{2}{3}=\dfrac{3+20}{30}=\dfrac{23}{30}\)
Em bấm vào biểu tượng \(\sum\) trên thanh công cụ và gõ phân số để mn dễ hỗ trợ nhé!
`(x^2+x-6)/(x^2+4x+3):(x^2-10x+25)/(x^2-4x-5)(x ne -1,x ne 5,x ne -3)`
`=((x-2)(x+3))/((x+1)(x+3)):(x-5)^2/((x+1)(x-5))`
`=(x-2)/(x+1):(x-5)/(x+1)`
`=(x-2)/(x-5)`
`|x-9|>=0`
`=>|x-9|+10>=10`
Dấu "=" xảy ra khi `x-9=0<=>x=9(TM\ x in Z)`
x−9|≥0|x-9|≥0
⇒|x−9|+10≥10⇒|x-9|+10≥10
Dấu "=" xảy ra khi x−9=0⇔x=9(TM x∈Z)
\(25.\left(x+3\right)=250\)
\(x+3=250:25\)
\(x+3=10\)
\(x=10-3\)
\(\Rightarrow x=7\)
\(\left(x-1\right)^2=5^2\\\Rightarrow x-1=5\\ \Rightarrow x=5+1=6\)
\(\left(\dfrac{1}{3}\right)^{50}.\left(-9\right)^{25}-\dfrac{2}{3}:4\)
\(=\left(\dfrac{1}{3}\right)^{50}.\left[\left(-3\right)^2\right]^{25}-\dfrac{2}{3}.\dfrac{1}{4}\)
\(=\left(\dfrac{1}{3}\right)^{50}.\left(-3\right)^{50}-\dfrac{2}{12}\)
\(=\left[\dfrac{1}{3}.\left(-3\right)\right]^{50}-\dfrac{1}{6}\)
\(=\left(-1\right)^{50}-\dfrac{1}{6}\)
\(=1-\dfrac{1}{6}\)
\(=\dfrac{6}{6}-\dfrac{1}{6}\)
\(=\dfrac{5}{6}\)
\(\left(\dfrac{1}{3}\right)^{50}\cdot\left(-9\right)^{25}-\dfrac{2}{3}:4=\)
=\(\dfrac{1}{3^{50}}\cdot\left(-9\right)^{25}-\dfrac{2}{3}\cdot\dfrac{1}{4}\)
=\(\dfrac{\left(-9\right)^{25}}{9^{25}}-\dfrac{1}{6}\)
=\(-1-\dfrac{1}{6}\)
=\(-\dfrac{6}{6}-\dfrac{1}{6}\)
=\(-\dfrac{7}{6}\)
\(\dfrac{x}{15}\)+\(\dfrac{x}{12}\)=4/1+1/2=9/2
=>x(\(\dfrac{1}{15}\)+\(\dfrac{1}{12}\))=9/2
=>x\(\cdot\)\(\dfrac{3}{20}\)=9/2
=>x=9/2:3/20=30
Vậy x=30
\(\dfrac{x}{15}+\dfrac{x}{12}=\dfrac{9}{2}\Rightarrow\left(\dfrac{1}{15}+\dfrac{1}{12}\right)x=\dfrac{9}{2}\)
\(\Rightarrow\left(\dfrac{12+18}{180}\right)x=\dfrac{9}{2}\Rightarrow\dfrac{30}{180}x=\dfrac{9}{2}\Rightarrow\dfrac{1}{6}x=\dfrac{9}{2}\Rightarrow x=\dfrac{9}{2}.6=27\)
\(\dfrac{-10}{25}=\dfrac{-2}{5}\)
-1/25-9/25=-10/25=-2/5