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10 tháng 9 2021

the sun rises in the east

water boils at 100 centigrade degrees

the weather is not warm enough to go swimming

I'd like to go on holiday but I haven't got enough money

he isn't experienced enough to do the job

the earth moves round the sun

I'm lucky enough to have a lot of friends

each of them has a different character
she has big brown eyes

his daughter has long blond hair

7 tháng 11 2021

Bài 1:

\(a,A=\dfrac{22}{7}-\dfrac{22}{7}-0,25-0,75-4=-1-4=-5\\ b,B=\dfrac{1\cdot\left(\dfrac{2}{5}\right)^3\cdot\left(\dfrac{15}{4}\right)^2}{\left(\dfrac{15}{2^2}\right)^2\cdot\left(\dfrac{2}{5}\right)^3}=1\)

Bài 2:

\(a,\Rightarrow2^{x+3}=13,9+2,1=16=2^4\\ \Rightarrow x+3=4\Rightarrow x=1\\ b,\Rightarrow\left|x-\dfrac{3}{2}\right|=0,5=\dfrac{1}{2}\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}+\dfrac{3}{2}=2\\x=-\dfrac{1}{2}+\dfrac{3}{2}=1\end{matrix}\right.\\ c,\Rightarrow\dfrac{x}{2}=\dfrac{y}{7}=\dfrac{2x-5y}{2\cdot2-5\cdot7}=\dfrac{93}{-31}=-3\\ \Rightarrow\left\{{}\begin{matrix}x=-6\\y=-21\end{matrix}\right.\)

a: Q(x)=5x^2-2x+1

Q(1)=5-2+1=4

Q(-1)=5+2+1=8

Q(2)=5*2^2-2*2+1=5*4-4+1=16+1=17

Q(-2)=5*(-2)^2-2*(-2)+1=5*4+2*2+1=25

Q(0)=1

b: R(x)=-x^2+2x-10

R(1)=-1+2-10=1-10=-9

R(-1)=-(-1)^2+2(-1)-10=-1-2-10=-13

R(2)=-4+6-10=-8

R(-2)=-4-6-10=-20

R(0)=-10

d: P(x)=6x^5-4x^3+9x^2-2x+2

P(2)=6*2^5-4*2^3+9*2^2-2*2+2=194

P(-2)=6*(-2)^5-4*(-2)^3+9*(-2)^2-2*(-2)+2=-118

P(0)=2

P(1)=6-4+9-2+2=11

P(-1)=-6+4+9+2+2=11

27 tháng 10 2021

a) \(\left\{{}\begin{matrix}\left(m-1\right)x+y=2\\mx+y=m+1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\left(m-1\right)x+y=2\\\left(m-1\right)-mx=2-\left(m+1\right)\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}\left(m-1\right)x+y=2\\-x=1-m\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\left(m-1\right)^2+y=2\\x=m-1\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}y=2-\left(m-1\right)^2\\x=m-1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=-m^2+2m+1\\x=m-1\end{matrix}\right.\)

\(2x+y=2\left(m-1\right)+\left(-m^2+2m+1\right)=2m-2-m^2+2m+1=-m^2+4m-1=-\left(m^2-4m+4\right)+3=-\left(m-2\right)^2+3\le3\)

Dấu "=" xảy ra \(\Leftrightarrow m=2\)

 

27 tháng 10 2021

\(a,HPT\Leftrightarrow\left\{{}\begin{matrix}mx-x+y=2\\mx+y=m+1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}mx+y=x+2\\mx+y=m+1\end{matrix}\right.\\ \Leftrightarrow x+2=m+1\Leftrightarrow x=m-1\\ \Leftrightarrow\left(m-1\right)^2+y=2\\ \Leftrightarrow y=2-\left(m-1\right)^2\)

\(2x+y\le3\\ \Leftrightarrow2m-2+2-m^2+2m-1-3\le0\\ \Leftrightarrow-m^2+4m-4\le0\\ \Leftrightarrow-\left(m-2\right)^2\le0\left(luôn.đúng\right)\)

Vậy ta được đpcm

b, \(x+y=-4\Leftrightarrow x=-4-y\Leftrightarrow\left\{{}\begin{matrix}m-1=-4-y\left(1\right)\\y=2-\left(m-1\right)^2\left(2\right)\end{matrix}\right.\)

Thế (2) vào (1)

\(\Leftrightarrow m-1=-4-2+\left(m-1\right)^2\\ \Leftrightarrow m-1=-6+m^2-2m+1\\ \Leftrightarrow m^2-3m-4=0\\ \Leftrightarrow\left[{}\begin{matrix}m=-1\\m=4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}y=2-4=-2\\y=2-9=-7\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=3\end{matrix}\right.\)

Vậy \(\left(x;y\right)=\left\{\left(-2;-2\right);\left(3;-7\right)\right\}\)

4 tháng 4 2022
CTHHPhân loạiGọi tên
Fe2O3Oxit bazơSắt (III) oxit
HClAxitAxit clohiđric
H2SO4AxitAxit sunfuric
NaOHBazơNatri hiđroxit
MgCl2MuốiMagie clorua
Al2O3Oxit lưỡng tínhNhôm oxit
CO2Oxit axitcacbon đioxit
P2O5Oxit axitđiphotpho pentaoxit
Cu(NO3)2MuốiĐồng (II) nitrat
Na2OOxit bazơNatri oxit
FeO Oxit bazơSắt (II) oxit
N2OOxit trung tínhđinitơ oxit
Zn(OH)2BazơKẽm hiđroxit
KHCO3MuốiKali hiđrocacbonat
Fe(OH)2BazơSắt (II) hiđroxit
CaSO4Muối Canxi sunfat
Ca(H2PO4)2MuốiCanxi đihiđrophotphat
H3PO4AxitAxit photphoric

 

22 tháng 12 2021

\(a,\Leftrightarrow\Delta'=\left(m-1\right)^2-\left(m-2\right)\ge0\\ \Leftrightarrow m^2-3m+3\ge0\\ \Leftrightarrow\left(m-\dfrac{3}{2}\right)^2+\dfrac{3}{4}\ge0\left(\text{luôn đúng}\right)\)

Vậy PT có 2 nghiệm pb với mọi m

\(b,\Leftrightarrow0< x_1< x_2\Leftrightarrow\left\{{}\begin{matrix}x_1+x_2>0\\x_1x_2>0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}2\left(m-1\right)>0\\m-2>0\end{matrix}\right.\Leftrightarrow m>2\\ c,\text{Thay }x=2\Leftrightarrow4-4\left(m-1\right)+m-2=0\\ \Leftrightarrow m=2\\ \Leftrightarrow x^2-2x=0\\ \Leftrightarrow x\left(x-2\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=2\end{matrix}\right.\\ d,\text{Viét: }\left\{{}\begin{matrix}x_1+x_2=2\left(m-1\right)\\x_1x_2=m-2\end{matrix}\right.\\ x_1^2+x_2^2=8\Leftrightarrow\left(x_1+x_2\right)^2-2x_1x_2=8\\ \Leftrightarrow4\left(m-1\right)^2-2\left(m-2\right)=8\\ \Leftrightarrow4m^2-10m=0\\ \Leftrightarrow m\left(2m-5\right)=0\Leftrightarrow\left[{}\begin{matrix}m=0\\m=\dfrac{5}{2}\end{matrix}\right.\)