Tính nhanh:
\(\frac{-2}{3}-\frac{1}{3}.\left(2.x-5\right)=\frac{3}{2}\)
Giúp mik vs ạ!
Những câu hỏi liên quan
Tìm xa) left|x+frac{1}{2}right|frac{1}{3}b) left|x-frac{1}{2}right|frac{1}{3}-frac{1}{2}c) left|x+frac{1}{3}right|-4-1d) left|x-frac{1}{5}right|+frac{1}{3}frac{1}{4}-left|frac{-3}{2}right|e) left|x-frac{5}{2}right|frac{4}{3}-left(frac{2}{3}-frac{1}{2}right)giúp mik vs ạ mik đag cần rất gấp!
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Tìm \(x\)
a) \(\left|x+\frac{1}{2}\right|=\frac{1}{3}\)
b) \(\left|x-\frac{1}{2}\right|=\frac{1}{3}-\frac{1}{2}\)
c) \(\left|x+\frac{1}{3}\right|-4=-1\)
d) \(\left|x-\frac{1}{5}\right|+\frac{1}{3}=\frac{1}{4}-\left|\frac{-3}{2}\right|\)
e) \(\left|x-\frac{5}{2}\right|=\frac{4}{3}-\left(\frac{2}{3}-\frac{1}{2}\right)\)
giúp mik vs ạ mik đag cần rất gấp!
a) \(\left|x+\frac{1}{2}\right|=\frac{1}{3}\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x+\frac{1}{2}=\frac{1}{3}\\x+\frac{1}{2}=-\frac{1}{3}\end{cases}}\) \(\Leftrightarrow\)\(\orbr{\begin{cases}x=-\frac{1}{6}\\x=-\frac{5}{6}\end{cases}}\)
Vậy....
b) \(\left|x-\frac{1}{2}\right|=\frac{1}{3}-\frac{1}{2}\)
\(\Leftrightarrow\)\(\left|x-\frac{1}{2}\right|=-\frac{1}{6}\) vô lí do \(\left|a\right|\ge0\)
Vậy pt vô nghiệm
c) \(\left|x+\frac{1}{3}\right|-4=-1\)
\(\Leftrightarrow\)\(\left|x+\frac{1}{3}\right|=3\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x+\frac{1}{3}=3\\x+\frac{1}{3}=-3\end{cases}}\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=\frac{8}{3}\\x=-\frac{10}{3}\end{cases}}\)
Vậy..
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d) \(\left|x-\frac{1}{5}\right|+\frac{1}{3}=\frac{1}{4}-\left|-\frac{3}{2}\right|\)
\(\Leftrightarrow\)\(\left|x-\frac{1}{5}\right|+\frac{1}{3}=-\frac{5}{4}\)
\(\Leftrightarrow\)\(\left|x-\frac{1}{5}\right|=-\frac{19}{12}\)vô lí do \(\left|a\right|\ge0\)với mọi a
Vậy pt vô nghiệm
e) \(\left|x-\frac{5}{2}\right|=\frac{4}{3}-\left(\frac{2}{3}-\frac{1}{2}\right)\)
\(\Leftrightarrow\)\(\left|x-\frac{5}{2}\right|=\frac{7}{6}\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x-\frac{5}{2}=\frac{7}{6}\\x-\frac{5}{2}=-\frac{7}{6}\end{cases}}\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=3\frac{2}{3}\\x=\frac{4}{3}\end{cases}}\)
Vậy...
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Tính bằng 2 cách :\(A=\left(6-\frac{2}{3}+\frac{1}{2}\right)-\left(5+\frac{5}{3}-\frac{3}{2}\right)-\left(3-\frac{7}{3}+\frac{5}{2}\right)\)
Giúp vs ạ!
Cách 1 :
\(A=\left(6-\frac{2}{3}+\frac{1}{2}\right)-\left(5+\frac{5}{3}-\frac{3}{2}\right)-\left(3-\frac{7}{3}+\frac{5}{2}\right)\)
\(=\frac{35}{6}-\frac{31}{6}-\frac{19}{6}\)
\(=\frac{35-31-19}{6}=-\frac{5}{2}\)
Cách 2 :
\(A=\left(6-\frac{2}{3}+\frac{1}{2}\right)-\left(5+\frac{5}{3}-\frac{3}{2}\right)-\left(3-\frac{7}{3}+\frac{5}{2}\right)\)
\(=6-\frac{2}{3}+\frac{1}{2}-5-\frac{5}{3}+\frac{3}{2}-3+\frac{7}{3}-\frac{5}{2}\)
\(=\left(6-5-3\right)+\left(-\frac{2}{3}-\frac{5}{3}+\frac{7}{3}\right)+\left(\frac{1}{2}+\frac{3}{2}-\frac{5}{2}\right)\)
\(=\left(-2\right)+0+\left(-\frac{1}{2}\right)=-\frac{5}{2}\)
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Giúp mk vs ạ!
1)Cho M(x)=\(1-\frac{1}{2^2}+\frac{2}{3^2}-\frac{3}{4^2}+......+\left(-1\right)^{x+1}\frac{x-1}{x^2}\)
Tính M(3) M(6) M(20) M(25) M(30)
2)Tính:
A=\(\left(1-\frac{2}{1.2.3}\right)^4+\left(3-\frac{5}{2.3.4}\right)^4+\left(5-\frac{10}{3.4.5}\right)^4+......+\left(59-\frac{901}{30.31.32}\right)^4\)
\(\left(\frac{2x-x^2}{2x^2+8}-\frac{2x^2}{x^3-2x^2+4x-8}\right)\left(\frac{2}{x^3}+\frac{1-x}{x}\right)\) ) ae giúp mik vs nhé mik cần gấp kết quả vs cách lm ngắn gọn nhất của bài này ạ
Tìm x thuộc z ;
a, \(\left(\frac{31}{20}-\frac{26}{45}\right).\frac{-36}{35}< x< \left(\frac{51}{56}+\frac{8}{21}+\frac{1}{3}\right).\frac{8}{13}\)
b,\(\frac{-5}{6}+\frac{8}{3}+\frac{29}{-3}\le x\le\frac{-1}{2}+2+\frac{5}{2}\)
GIÚP MIK VS Ạ, MIK CẦN GẤP LẮM
\(a,\left(\frac{31}{20}-\frac{26}{45}\right)\cdot\left(\frac{-36}{35}\right)< x< \left(\frac{51}{56}+\frac{8}{21}+\frac{1}{3}\right)\cdot\frac{8}{13}\)
\(taco:\left(\frac{31}{20}-\frac{26}{45}\right)\cdot\left(\frac{-36}{35}\right)=\frac{35}{36}\cdot\frac{-36}{35}=-1\)
\(\left(\frac{51}{56}+\frac{8}{21}+\frac{1}{3}\right)\cdot\frac{8}{13}=\frac{13}{8}\cdot\frac{8}{13}=1\)
\(=>x=0\)
\(b,\frac{-5}{6}+\frac{8}{3}+\frac{29}{-3}< x< \frac{-1}{2}+2+\frac{5}{2}\)(dau <co dau gach ngang o duoi nha)
\(taco:\frac{-5}{6}+\frac{8}{3}+\frac{29}{-3}=\frac{-5}{6}+\frac{8}{3}+\frac{-29}{3}=\frac{-5}{6}+\frac{16}{6}+\frac{-58}{6}=\frac{-47}{6}=-7,8\)
\(\frac{-1}{2}+2+\frac{5}{2}=\frac{3}{2}+\frac{5}{2}=4\)
tu do \(=>x=-7,8;...;0;1;2;3;4\)
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.giúp mk tính từng bước vs ạ\(\frac{5}{7}.\left(\frac{1}{2}-\frac{1}{3}+\frac{4}{7}\right)+\left(\frac{1}{3}-\frac{1}{2}-\frac{4}{7}\right)-\frac{7}{5}\)
Thực hiện phép tính:a, A frac{1}{6}.left(-2frac{3}{5}right)+1frac{2}{3}.left(frac{-13}{5}right)b, Bfrac{5}{7}:left(frac{1}{2}-frac{1}{3}right)+frac{5}{7}:left(frac{1}{5}-frac{1}{6}right)c, C 2^3+3.left(frac{2017}{2018}right)^0.left(frac{1}{2}right)^{-2}:4+[left(-2right)^2:frac{1}{2}].left(frac{-1}{2}right)^3giúp vs, mik cần gấp
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Thực hiện phép tính:
a, A= \(\frac{1}{6}.\left(-2\frac{3}{5}\right)+1\frac{2}{3}.\left(\frac{-13}{5}\right)\)
b, B=\(\frac{5}{7}:\left(\frac{1}{2}-\frac{1}{3}\right)+\frac{5}{7}:\left(\frac{1}{5}-\frac{1}{6}\right)\)
c, C= \(2^3+3.\left(\frac{2017}{2018}\right)^0.\left(\frac{1}{2}\right)^{-2}:4+[\left(-2\right)^2:\frac{1}{2}].\left(\frac{-1}{2}\right)^3\)
giúp vs, mik cần gấp
A= E387E4837
B = 883433
C = UỲUWFHQWURY48E3947
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tính nhanh \(\left(1+\frac{1}{2}\right)x\left(1+\frac{2}{3}\right)x\left(1+\frac{3}{4}\right)x.....x\left(1+\frac{1}{2017}\right)\)
giúp mik giải nha, nhớ là tín nhanh đó
Hình như đề bạn ghi sai rồi, nó ko theo thứ tự để tính nhanh
thế thì hợp lý nha bn
tính bằng cách thuận tiện
\(\left(1-\frac{1}{2}\right)x\left(1-\frac{1}{3}\right)x\left(1-\frac{1}{4}\right)x\left(1-\frac{1}{5}\right)x\left(1-\frac{1}{6}\right)\))
giúp mik nhé ai nhanh mik k
(1 - 1/2) x (1 - 1/3) x (1 - 1/4) x (1 - 1/5) x (1 - 1/6)
= 1/2 x 2/3 x 3/4 x 4/5 x 5/6
= 1/6 (tử và mẫu triệt tiêu cho nhau)