\(3n-2\inƯ\left(15\right)\) \(=\left\{1;-1;3;-3;5;-5;15;-15\right\}.\)

\(\Leftrightarrow n\in\left\{1;\dfrac{1}{3};\dfrac{5}{3};\dfrac{-1}{3};\dfrac{7}{3};-1;\dfrac{17}{3};\dfrac{-13}{3}\right\}.\)

Mà \(n\ne\dfrac{2}{3};n\in Z.\)

\(\Rightarrow n\in\left\{1;-1\right\}.\)

Bài 2: 

a: Xét tứ giác CPBM có 

N là trung điểm của CB

N là trung điểm của PM

Do đó: CPBM là hình bình hành

Giúp mik với !!!

1. worst

2. happier

3. better

4. farthest

5. better

6. biggest

7. more

8. worse

9. less

10. nicer

1. worst

2. happier

3. better

4. farthest

5. better

6. biggest

7. more

8. worse

9. less

10. nicer

\(f,=\left(5^2+3\right):7=28:7=4\\ g,=7^2-9+8\cdot25=49-9+200=240\\ h,=600+72+18=690\\ i,=5^2+5-20=10\\ j,=45-28+83=100\)

\(2A=\frac{4}{1.5}+\frac{6}{5.11}+\frac{8}{11.19}+\frac{10}{19.29}+\frac{12}{29.41}\)

\(=1-\frac{1}{5}+\frac{1}{5}-\frac{1}{11}+\frac{1}{11}-\frac{1}{19}+...+\frac{1}{29}-\frac{1}{41}=1-\frac{1}{41}=\frac{40}{41}\)

\(\Rightarrow A=\frac{20}{21}\)

\(3B=\frac{3}{1.4}+\frac{6}{4.10}+\frac{9}{10.19}+\frac{12}{19.31}=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{10}+\frac{1}{10}-\frac{1}{19}+\frac{1}{19}-\frac{1}{31}\)

\(=1-\frac{1}{31}=\frac{30}{31}\)

\(\Rightarrow B=\frac{10}{31}=\frac{20}{62}<\frac{20}{41}\)

Do đó $A>B$

Ta có: \(A=\dfrac{2}{1.5}+\dfrac{3}{5.11}+\dfrac{4}{11.19}+\dfrac{5}{19.29}+\dfrac{6}{29.41}\)

\(2A=1-\dfrac{1}{5}+\dfrac{1}{5}+...+\dfrac{1}{29}-\dfrac{1}{41}\)

\(2A=1-\dfrac{1}{41}=\dfrac{40}{41}\)

\(A=\dfrac{20}{41}\)

Lại có: \(B=\dfrac{1}{1.4}+\dfrac{2}{4.10}+\dfrac{3}{10.19}+\dfrac{4}{19.31}\)

\(3B=\dfrac{3}{1.4}+\dfrac{6}{4.10}+\dfrac{9}{10.19}+\dfrac{12}{19.31}\)

\(3B=1-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{10}+...+\dfrac{1}{19}-\dfrac{1}{31}\)

\(3B=1-\dfrac{1}{31}=\dfrac{30}{31}\)

\(B=\dfrac{10}{31}\)

Vì \(\dfrac{20}{41}>\dfrac{10}{31}\) nên...

\(a) 2Mg + O_2 \xrightarrow{t^o} 2MgO\\ b) 4P + 5O_2 \xrightarrow{t^o} 2P_2O_5\\ c) 2KMnO_4 \xrightarrow{t^o} K_2MnO_4 + MnO_2 + O_2\\ d) C_4H_{10} + \dfrac{13}{2}O_2 \xrightarrow{t^o} 4CO_2 + 5H_2O\\ e) 3Fe + 2O_2 \xrightarrow{t^o} Fe_3O_4\\ g) 2KClO_3 \xrightarrow{^o} 2KCl + 3O_2\)

a) \(2Mg+O_2-^{t^o}\rightarrow2MgO\)

b)\(4P+5O_2-^{t^o}\rightarrow2P_2O_5\)

c)\(2KMnO_4-^{t^o}\rightarrow K_2MnO_4+MnO_2+O_2\)

\(2C_4H_{10}+13O_2\rightarrow8CO_2+10H_2O\)

\(3Fe+2O_2\rightarrow Fe_3O_4\)

\(2KClO_3\rightarrow2KCl+3O_2\)

( Làm nốt :vvv )

\(\Leftrightarrow18x^2\left(x+4\right)-12x\left(x+4\right)=0\)

\(\Leftrightarrow6x\left(x+4\right)\left[3x-2\right]=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x+4=0\\3x-2=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-4\\x=\dfrac{2}{3}\end{matrix}\right.\)

⇔⎡⎢⎣x=0x+4=03x−2=0⇔[x=0x+4=03x−2=0

đk : \(n\ne-\dfrac{1}{3}\)

gọi d là ƯCLN(18n+3,21n+7)

ta có 18n+3chia hết cho d

          21n+7 chia hết cho d

⇔21n+7-18n-3 chia hết cho d

⇔126n+42-126n-21 chia hết cho d 

21 chia hết cho d

⇒d∈Ư(21)=1;3;7;21

n ≠ 3k-1;3k-3;3k-7;3k-21

5:

a: Chiều rộng là 18*1/6=3m

S=18*3=54m²

Số viên gạch cần mua là:

54*10^4:30^2=600 viên

b: Số viên gạch phải giảm đi là:

600*5/6=500 viên