Ta có : \(5\left|6y-8\right|\ge0\)
\(\Rightarrow5\left|6y-8\right|+35\ge35\\ \Rightarrow\dfrac{14}{5\left|6y-8\right|+35}\le\dfrac{14}{35}\\ \Rightarrow\dfrac{6}{5}-\dfrac{14}{5\left|6y-8\right|+35}\ge\dfrac{28}{35}\)
Min P = \(\dfrac{28}{35}\)khi y= \(\dfrac{4}{3}\)
Tìm GTNN của :
A = \(x^2+2x-4\)
B = \(\left(x-2\right)^2+\left|y-x\right|+3\)
C = \(\dfrac{6}{5}-\dfrac{14}{5\left|6y-8\right|+35}\)
D = \(\dfrac{6\left|y+5\right|+14}{2\left|y+5\right|+14}\)
Tìm GTNN của:
\(\dfrac{6\left|y+5\right|+14}{2\left|y+5\right|+14}\)
thực hiện phép tính: \(\left(5+\dfrac{1}{5}-\dfrac{2}{9}\right)-\left(2-\dfrac{1}{23}-2\dfrac{3}{35}+\dfrac{5}{6}\right)-\left(8+\dfrac{2}{7}-\dfrac{1}{18}\right)\)
1) Cho đa thức \(f\left(x\right)=x^{14}-14.x^{13}+14.x^{12}-...+13.x^2-14.x+14\) Tính f(13)
2) Tính : \(\left(\dfrac{3}{4}-81\right)\left(\dfrac{3^2}{5}-81\right)\left(\dfrac{3^3}{6}-81\right)...\left(\dfrac{3^{2000}}{2003}-81\right)\)
Thực hiện phép tính : A = \(\dfrac{\left(\dfrac{-3}{10}+\dfrac{4}{15}+\dfrac{7}{20}\right).\left(\dfrac{-5}{19}\right)}{\left[\dfrac{1}{14}+\dfrac{1}{7}-\left(\dfrac{-3}{35}\right).\left(-1\dfrac{1}{3}\right)\right]}:\dfrac{5}{24}\)
2. thực hiện phép tính
a. \(\dfrac{3}{8}.72\dfrac{1}{5}-51\dfrac{1}{5}.\dfrac{3}{8}\)
b.\(25.\left(\dfrac{-1}{5}^{ }\right)^3+\dfrac{1}{5}-2.\left(\dfrac{-1}{2}\right)^2-\dfrac{1}{2}\)
c.\(35\dfrac{1}{6}.\dfrac{-4}{5}-45\dfrac{1}{6}.\dfrac{-1}{5}\)
a) Tìm tập hợp các số nguyên x, biết rằng\(4\dfrac{5}{9}:2\dfrac{5}{18}-7< x< \left(3\dfrac{1}{5}:3,2+4,5.1\dfrac{31}{45}\right):\left(-21\dfrac{1}{2}\right)\)
b) tìm x, biết \(\left|x+\dfrac{1}{2}\right|+\left|x+\dfrac{1}{6}\right|+\left|x+\dfrac{1}{12}\right|+\left|x+\dfrac{1}{20}\right|+....+\left|x+\dfrac{1}{110}\right|-11x\)
c)Tính gt biểu thức \(C=2x^3-5y^3+2015\) tại x,y thỏa mãn \(\left|x-1\right|+\left(y+2\right)^{20}=0\)
Tìm x:
a)\(5\dfrac{4}{7}:\left\{x:1,3+8,4.\dfrac{6}{7}.\left[6-\dfrac{\left(2,3+5:6,25\right).7}{8.0,0125+6,9}\right]\right\}=1\dfrac{1}{14}\)
b)\(\left|3x-2\right|+\left|2x-1\right|=4\)
cho \(x=\dfrac{\left(\dfrac{3}{10}-\dfrac{4}{15}-\dfrac{7}{20}\right).\dfrac{5}{19}}{\left(\dfrac{1}{14}+\dfrac{1}{7}+\dfrac{3}{35}\right).\dfrac{-4}{3}}\) . Tính \(P=\sqrt{120x+39}\)