A=3/5*5/4-3/5*1/4 help me! Pls
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a) \(\dfrac{1}{3}+\dfrac{3}{5}+\dfrac{1}{15}-\dfrac{3}{4}-\dfrac{2}{9}-\dfrac{1}{36}+\dfrac{1}{72}\)
\(=\dfrac{5+9+1}{15}-\dfrac{27+8+1}{36}+\dfrac{1}{72}=1-1+\dfrac{1}{72}=\dfrac{1}{72}\)
b) \(=\dfrac{1}{5}-\dfrac{1}{5}-\dfrac{3}{7}+\dfrac{3}{7}+\dfrac{5}{9}-\dfrac{5}{9}-\dfrac{1}{11}+\dfrac{1}{11}+\dfrac{7}{13}-\dfrac{7}{13}-\dfrac{9}{16}\)
\(=\dfrac{9}{16}\)
\(\dfrac{1}{5}\times x-\dfrac{2}{3}=\dfrac{1}{10}\times x+\dfrac{5}{6}\)
\(\dfrac{1}{5}x-\dfrac{2}{3}-\dfrac{1}{10}x-\dfrac{5}{6}=0\)
\(\dfrac{1}{5}x-\dfrac{1}{10}x-\dfrac{2}{3}-\dfrac{5}{6}=0\)
\(\dfrac{1}{10}x-\dfrac{3}{2}=0\)
\(\dfrac{1}{10}x=\dfrac{3}{2}\)
\(x=15\)
\(\dfrac{1}{5}\).x - \(\dfrac{2}{3}\) = \(\dfrac{1}{10}\).x + \(\dfrac{5}{6}\)
⇒ \(\dfrac{1}{5}\).x - \(\dfrac{1}{10}\).x = \(\dfrac{5}{6}\) + \(\dfrac{2}{3}\)
⇒ \(\dfrac{2}{10}\).x - \(\dfrac{1}{10}\).x = \(\dfrac{5}{6}\) + \(\dfrac{4}{6}\)
⇒ \(\dfrac{1}{10}\).x = \(\dfrac{9}{6}\)
⇒ x = \(\dfrac{9}{6}\) : \(\dfrac{1}{10}\)
⇒ x = \(\dfrac{9}{6}\) . 10
⇒ x = \(\dfrac{90}{6}\)
⇒ x = 15
Vậy x = 15
Nếu đề là tính thì làm như sau :
a) |-5|.(-7)+4.(-9)
=(-35)+(-36)=-71
b) 1-2+3-4+5-6+...+2009-2010+2011
=(1-2)+(3-4)+(5-6)+...+(2009-2010)+2011 (có tất cả 1005 cặp)
=(-1).1005+2011
=-1005+2011=1006
a)|-5| . (-7)+4.(-9)
= 5 . (-7) + 4. (-9)
= (-35)+(-36)
= -71
b) 1-2+3-4+5-6+...+2009-2010+2011
A= 1+3+5+...+2009+2011
SSH là: (2011-1) : 2+1= 1006 (số)
Tổng A là: (2011+1) x 1006 : 2= 1012036
B= 2+4+6+...+2010
SSH là: (2010 -2) : 2+1= 1005( số)
Tổng B là: (2010+2). 1005:2 = 1011030
A - B = 1012036 - 1011030 = 1006.
~ HẾT ~
Trả lời:
\(M=\left(x-2020\right)^4+\left(x+y+1\right)^2+5\)
Ta có: \(\left(x-2020\right)^4\ge0\forall x;\left(x+y+1\right)^2\ge0\forall x,y\)
\(\Rightarrow\left(x-2020\right)^4+\left(x+y+1\right)^2\ge0\forall x,y\)
\(\Rightarrow\left(x-2020\right)^4+\left(x+y+1\right)^2+5\ge5\forall x,y\)
Dấu "=" xảy ra khi \(\hept{\begin{cases}x-2020=0\\x+y+1=0\end{cases}\Leftrightarrow\hept{\begin{cases}x=2020\\y=-2021\end{cases}}}\)
Vậy GTNN của M = 5 khi x = 2020; y = - 2021
(3 -x ) . ( 4 - x ) . ( 5 - x ) = 0
⇒ 3 - x = 0 hoặc 4 - x = 0 hoặc 5-x = 0
⇒ x = 3 hoặc x = 4 hoặc x = 5
Vậy x = 3 hoặc x = 4 hoặc x = 5 .
\(\text{∘ Ans}\)
\(\downarrow\)
\(\left(3-x\right)\cdot\left(4-x\right)\cdot\left(5-x\right)=0\)
`TH1:`
`3 - x = 0`
`\Rightarrow x = 3-0`
`\Rightarrow x = 3`
`TH2:`
`4 - x = 0`
`\Rightarrow x = 4 - 0`
`\Rightarrow x = 4`
`TH3:`
`5 - x = 0`
`=> x = 5 - 0`
`=> x = 5`
Vậy, `x = {3; 4; 5}.`
3/5*5/4-3/5*1/4
= 3/5*(5/4-1/4)
= 3/5*3/4
= 9/20
nhớ tick cho mình nhé