4/7 *1/3+5/7:2/3

\(\frac{4}{21}\)+ \(\frac{15}{14}\)= \(\frac{53}{42}\)

=4/21+15/14

=53/42

có kết quả r mà

\(A=10^2-\left(5^2.4-4^3.3\right)+2^3\)

\(A=10^2-\left(100-4^3.3\right)+2^3\)

\(A=10^2-\left(100-192\right)+2^3\)

\(A=10^2-\left(-92\right)+2^3\)

\(A=192+2^3\)

\(A=200\)

\(=\left(\dfrac{3}{4}+\dfrac{1}{4}\right)+\left(\dfrac{2}{5}+\dfrac{3}{5}\right)=1+1=2\)

2

\(a\)) \(\left(4^2.4^3\right):2^{10}\)

   \(=4^5:2^{10}\)

   \(=\left(2^2\right)^5:2^{10}\)

   \(=2^{10}:2^{10}\)

   \(=1\)  

    \(b\)) \(\left(0,6\right)^5:\left(0,2\right)^6\)

    \(=\left(\frac{3}{5}\right)^5:\left(\frac{1}{5}\right)^6\)

     \(=\frac{3^5}{5^5}:\frac{1^6}{5^6}\)

      \(=\frac{3^5}{5^5}.5^6\)

        \(=\frac{3^5.5^6}{5^5}\)

        \(=3^5.5\)

         \(=243.5\)

          \(=1215\)

 \(c\)) \(\left(2^7.9^3\right):\left(6^5.8^2\right)\)

     \(=\left[2^7.\left(3^2\right)^3\right]:\left[\left(2.3\right)^5.\left(2^4\right)^2\right]\)

      \(=\left(2^7.3^6\right):\left[2^5.3^5.2^8\right]\)

       \(=\left(2^7.3^6\right).\left(\frac{1}{2^5.3^5.2^8}\right)\)

         \(=\frac{2^7.3^6.1}{\left(2^5.2^8\right).3^5}\)

           \(=\frac{2^7.3^6}{2^{13}.3^5}\)

           \(=\frac{3}{2^6}\)

           \(=\frac{3}{64}\)

\(\left|2x-1\right|=\dfrac{3}{2}\\ \Rightarrow\left[{}\begin{matrix}2x-1=\dfrac{3}{2}\\2x-1=-\dfrac{3}{2}\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{5}{4}\\x=-\dfrac{1}{4}\end{matrix}\right.\)

Thay \(x=\dfrac{5}{4}\) vào D ta có:

\(D=4x+3=4.\dfrac{5}{4}+3=5+3=8\)

Thay \(x=-\dfrac{1}{4}\) vào D ta có:

\(D=4.\dfrac{-1}{4}+3=-1+3=2\)

Để \(D=\dfrac{3}{2}\)

\(\Leftrightarrow4x+3=\dfrac{3}{2}\\ \Leftrightarrow4x=-\dfrac{3}{2}\\ \Leftrightarrow x=-\dfrac{3}{8}\)

a) Ta có: x²\(\ge0,\forall x\) 

=> x² +3/4 \(\ge\dfrac{3}{4}\) , mọi x

Vậy min A = 3/4

Dấu "=" xảy ra <=> x =0

b) ( x- 3/2)² -0,4

Ta có ( x-3/2)² lớn hơn hoặc bằng 0, mọi x

=> ( x-3/2)² - 0,4 lớn hơn hoặc bằng 0 - 0;4 = -0,4

Vậy min B =-0,4

Dấu "=" xảy ra <=> x = 3/2

Chúc bạn học tốt !

bạn cho mik hỏi là min A nghĩa là sao vậy

3/8 + 1/2 = 7/8

9/8 - 1/6 = 23/24

a: =1/2(3/4+1)=1/2x7/4=7/8

b: =9/8-1/6=27/24-4/24=23/24

\(A=\frac{1}{1+2}+\frac{1}{1+2+3}+\frac{1}{1+2+3+4}+\frac{1}{1+2+3+4+5}\)

\(A=\frac{1}{\left(1+2\right).2:2}+\frac{1}{\left(1+3\right).3:2}+\frac{1}{\left(1+4\right).4:2}+\frac{1}{\left(1+5\right).5:2}\)

\(A=\frac{2}{2.3}+\frac{2}{3.4}+\frac{2}{4.5}+\frac{2}{5.6}\)

\(A=2\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}\right)\)

\(A=2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\right)\)

\(A=2\left(\frac{1}{2}-\frac{1}{6}\right)\)

\(A=2.\frac{1}{3}=\frac{2}{3}\)