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a) f(x)- g(x)+h(x) = (x3-2x2+3x+1)-(x3+x-1)+(2x2-1)
f(x)- g(x)+h(x) = x3-2x2+3x+1- x3-x+1+2x2-1
f(x)- g(x)+h(x)= (x3-x3) +(2x2-2x2) +(3x-x)+(1+1-1)
f(x)- g(x)+h(x) = 0+0+2x+1
f(x)- g(x)+h(x) = 2x+1
b) Xét f(x)- g(x)+h(x)=0
Suy ra: 2x+1=0
2x= -1
x = - \(\dfrac{1}{2}\)
a) \(P\left(x\right)=2+5x^2-3x^3+4x^2-2x-x^3+6x^5\)
\(=6x^5-4x^3+9x^2-2x+2\)
b) \(P\left(1\right)=6\cdot1^5-4\cdot1^3+9\cdot1^2-2\cdot1+2\)
\(=6-4+9-2+2\)
\(=11\)
Ta có : 2x = 5y \(\Rightarrow\frac{x}{5}=\frac{y}{2}\Rightarrow\frac{x^2}{25}=\frac{y^2}{4}\)
Áp dụng t/c của dãy tỉ số bằng nhau, ta có :
\(\frac{x^2}{25}=\frac{y^2}{4}=\frac{x^2+y^2}{25+4}=\frac{133}{29}\)
Suy ra :
+) \(\frac{x^2}{25}=\frac{133}{29}\Leftrightarrow x^2=\frac{3325}{29}\Leftrightarrow x=\sqrt{\frac{3325}{29}}\approx10,7\)
+)\(\frac{y^2}{4}=\frac{133}{29}\Leftrightarrow y^2=\frac{532}{29}\Leftrightarrow y=\sqrt{\frac{532}{29}}\approx4,3\)
Vậy \(x\approx10,7;y\approx4,3\)
2 More than £1,000 were raised for charity.
3 Loads of pictures were taken by the photographers
4 The show was put on the newspaper's front page.
5 All the clothes were designed by school children.
6 the whole evening was organised by the teenagers.
7 The music was written by a 16 year-old boy.
8 The lights were done by a 14 year-old girl
Rewrite the underlined sentences. Use the Past passive.
The school fashion show was a great success. 1 They invited 100 people and most of them came. 2 They raised more than £1,000 for charity. It really was a big event and there were even a few famous people there. 3 The photographers took loads of pictures and 4 the newspaper put the show on its front pages. The clothes were fantastic. 5 School children designed them all. It was amazing. In fact 6 the teenagers organized the whole evening. 7 A 16 year-old boy wrote the music and 8 a 14 year-old girl did the lights. It was wonderful to see what young people can do.
1 100 people were invited. (ex)
2 More than £1,000 was raised for charity.
3 Loads of pictures were taken by the photographers.
4 The show is putted on the newspaper’s front pages.
5 All the clothes were designed by school children.
6 The whole evening was organized by the teenagers
7 The music was written a 16 year-old boy
8 The lights was done by a 14 year-old girl.
\(a=3^{2019}.7^{2010}.13^{2011}\)
\(a=3^3.3^{2016}.7^2.7^{2008}.13^3.13^{2008}\)
\(a=27.\left(3^4\right)^{504}.49\cdot\left(7^4\right)^{502}.2197.\left(13^4\right)^{502}\)
\(a=\left(27.49.2197\right).\left(\overline{....1}\right)^{504}.\left(\overline{....1}\right)^{502}.\left(\overline{....1}\right)^{502}\)
\(a=\left(\overline{....1}\right).\left(\overline{....1}\right).\left(\overline{....1}\right).\left(\overline{....1}\right)=\left(\overline{....1}\right)\)
Vậy chữ số hàng đơn vị của số a là 1
x = 2