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B1:
Ta có: \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\frac{2^{12}.3^{10}-2^9.3^9.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\frac{2^{12}.3^{10}-2^{12}.3^{10}.5}{2^{12}.3^{12}-2^{11}.3^{11}}=\frac{2^{12}.3^{10}.\left(1-5\right)}{2^{11}.3^{11}.\left(2.3-1\right)}\)
\(=\frac{2.\left(-4\right)}{3.5}=-\frac{8}{15}\)
B2:
Ta có: \(1+3+5+...+x=1600\)
\(\Leftrightarrow\frac{\left(x+1\right)\cdot\left(\frac{x-1}{2}+1\right)}{2}=1600\)
\(\Leftrightarrow\left(x+1\right)\cdot\frac{x+1}{2}=3200\)
\(\Leftrightarrow\left(x+1\right)^2=6400\)
Xét theo dãy tăng tiến ta thấy được giá trị của x càng tăng
=> x dương => x + 1 dương
\(\Rightarrow x+1=80\)
\(\Rightarrow x=79\)
a) \(x\in BC\left(3,5\right)\Rightarrow x\in\left\{0;15;30;45;60;...\right\}\)
mà \(x< 50\Rightarrow x\in\left\{0;15;30;45\right\}\)
b) \(\hept{\begin{cases}x⋮4\\x⋮6\end{cases}\Rightarrow}x\in BC\left(4;6\right)=\left\{0;12;24;36;48;...\right\}\)
mà \(x< 40\Rightarrow x\in\left\{0;12;24;36\right\}\)
c) \(\hept{\begin{cases}x⋮12\\x⋮15\end{cases}\Rightarrow}x\in BC\left(12;15\right)=\left\{0;60;120;180;...\right\}\)
mà \(x< 130\Rightarrow x\in\left\{0;60;120\right\}\)
TL:
a) x∈BC(3,5)⇒x∈{0;15;30;45;60;...}
mà x<50⇒x∈{0;15;30;45}
b) {
x⋮4 |
x⋮6 |
⇒x∈BC(4;6)={0;12;24;36;48;...}
mà x<40⇒x∈{0;12;24;36}
c) {
x⋮12 |
x⋮15 |
⇒x∈BC(12;15)={0;60;120;180;...}
mà x<130⇒x∈{0;60;120}
^HT^
a) 4 + (12 - 15) = 4 + (-3) = 1
4 + 12 - 15 = 16 - 15 = 1
Vậy 4 + (12 - 15) = 4 + 12 - 15
b) 4 - (12 - 15) = 4 - (-3) = 4 + 3 = 7
4 - 12 + 15 = (-8) + 15 = 7
Vậy 4 - (12 - 15) = 4 - 12 + 15
Bài 1:
\(\frac{3}{5}+\frac{4}{15}=\frac{9}{15}+\frac{4}{15}=\frac{13}{15}\)
\(\frac{5}{6}:\frac{-7}{12}=\frac{5}{6}.\frac{-12}{7}=\frac{-60}{42}=\frac{-10}{7}\)
\(\frac{-21}{24}:\frac{-14}{8}=\frac{-21}{24}.\frac{-8}{14}=\frac{168}{336}=\frac{1}{2}\)
\(\frac{4}{5}:\frac{-8}{15}=\frac{4}{5}.\frac{-15}{8}=\frac{-60}{40}=\frac{-3}{2}\)
\(\frac{5}{12}-\frac{-7}{6}=\frac{5}{12}+\frac{7}{6}=\frac{5}{12}+\frac{14}{12}=\frac{19}{12}\)
\(\frac{-15}{16}.\frac{8}{25}=\frac{-120}{400}=\frac{-3}{10}\)
Bài 2 :
\(6\frac{4}{5}-\left(1\frac{2}{3}+3\frac{4}{5}\right)\)
\(=\frac{34}{5}-\left(\frac{5}{3}+\frac{19}{5}\right)\)
\(=\frac{34}{5}-\frac{5}{3}-\frac{19}{5}\)
\(=\left(\frac{34}{5}-\frac{19}{5}\right)-\frac{5}{3}\)
\(=3-\frac{5}{3}\)
\(=\frac{4}{3}\)
\(6\frac{5}{7}-\left(1\frac{2}{3}+2\frac{5}{7}\right)\)
\(=\frac{47}{7}-\left(\frac{5}{3}+\frac{19}{7}\right)\)
\(=\frac{47}{7}-\frac{5}{3}-\frac{19}{7}\)
\(=\left(\frac{47}{7}-\frac{19}{7}\right)-\frac{5}{3}\)
\(=4-\frac{5}{3}\)
\(=\frac{7}{3}\)
\(\frac{4}{19}.\frac{-3}{7}+\frac{-3}{7}.\frac{15}{19}+\frac{5}{7}\)
\(=\left(\frac{4}{19}+\frac{15}{19}\right).\frac{-3}{7}+\frac{5}{7}\)
\(=1.\frac{-3}{7}+\frac{5}{7}\)
\(=\frac{-3}{7}+\frac{5}{7}\)
\(=\frac{2}{7}\)
\(\frac{5}{9}.\frac{7}{13}+\frac{5}{9}.\frac{9}{13}-\frac{5}{9}.\frac{3}{13}\)
\(=\frac{5}{9}.\left(\frac{7}{13}+\frac{9}{13}-\frac{3}{13}\right)\)
\(=\frac{5}{9}.1\)
\(=\frac{5}{9}\)
a) 2( x-2) = 8 d) 3x-2x+4=-12
( x-2) = 4 x+4=-12
x = 6 x=-16
b ) 3( x-2)=-6 e) -3x+x-4=-14
(x-2)=-2 -2x-4=-14
x = 0 -2x=-10
c) 4(3-x)=-24 x=5
3-x=6 f) 2(x-2)-x+25=-7
x=-3 2x-4-x+25=-7
x+21=-7
x=-28
g) - 12 x + 60 + 21 - 7 x = 5 h) x - 2=0 suy ra x=2
-19 x +81 =5 x-4=0 suy ra x=4
-19x = - 76 vậy x = 2 và x = 4
x = 4
i) x - 2 = 0 suy ra x = 2
x + 15 = 0 suy ra x = - 15
vậy x = 2 và x = -15
~ chúc bn học tốt ~ # Q.Trang#
a) 4+(12-15) và 4+12-15
4+(-3) và 16-15
1 và 1
=> Bằng nhau
b) 4-(12-15) và 4-12+15
4-(-3) và -8+15
7 và 7
=> bằng nhau
a, bằng nhau
b, bằng nhau
HT
k cho mình nha
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