1/ Tính
\(\dfrac{\left(1+2+3+...+100\right).\left(\dfrac{1}{3}-\dfrac{1}{5}-\dfrac{1}{7}-\dfrac{1}{9}\right).\left(6,3.12-21.3,6\right)}{\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{100}}\)
2/ Tìm x:
\(\dfrac{x+4}{2000}+\dfrac{x+3}{2001}=\dfrac{x+2}{2002}+\dfrac{x+1}{2003}\)
3/ Cho \(A=\dfrac{1}{1.2}+\dfrac{1}{3.4}+\dfrac{1}{5.6}+...+\dfrac{1}{99.100}\)
Chứng minh: \(\dfrac{7}{12}< A< \dfrac{5}{6}\)
4/ Tìm \(a,b\varepsilon Q:a+b=a.b=a:b\)
Giúp mik nha mai mik cần rồi.
1)Rút gọn biểu thức sau theo chuyên đề bất đẳng thức
A=|7-5x|-|3x-7|-2x+1
B=7x-|4-3x|+5
2)Tìm giá trị của x để
x>2x
a+x<a
\(x^3>x^2\)
3)tìm các số a,b,c không âm sao cho a+3c=8,a+2b=9 và tổng a+b+c có giá trị lớn nhất
4)Tìm x sao cho
a)1-2x<7
b)(x-1)(x-2)>0
c)\(\left(x-2\right)^2\)(x+1)(x+4)<0
d)\(\dfrac{x^2\left(x+3\right)}{x-9}< 0\)
e)\(\dfrac{5}{x}< 1\)
f)\(\dfrac{2x-5}{x-1}< 0\)
5)Tìm các số nguyên a sao cho
\(\left(a^2-1\right)\left(a^2-4\right)\left(a^2-7\right)\left(a^2-10\right)< 0\)
6)Tìm giá trị của x để
A=\(\dfrac{x+5}{x+3}< 1\)
B=\(\dfrac{x+3}{x+4}>1\)
C=\(\dfrac{x+1}{\dfrac{2}{3}-x}>0\)
D=\(\dfrac{x-5}{x+5}\)<0
E=\(\dfrac{3x+4}{5-2x}\)>0
Help me mai 25/7 bảy giờ tối mik đi học rồi ai giúp mik được mấy câu thì giúp
Mik cảm ơn nha
1) Cho \(A=\dfrac{1}{1.2}+\dfrac{1}{3.4}+...+\dfrac{1}{37.38}\)và \(B=\dfrac{1}{20.38}+\dfrac{1}{21.37}+...+\dfrac{1}{38.20}\)
Chứng minh rằng \(\dfrac{A}{B}\)là 1 số nguyên
2) Tìm x,y thỏa mãn \(\left|x-1\right|+\left|x-2\right|+\left|y-3\right|+\left|x-4\right|=3\)
Nhanh nha mik sắp nộp r
b) -x - 2 = \(\dfrac{5}{4}\) c) \(\dfrac{4}{3}-\left(x-\dfrac{1}{5}\right)=\left|\dfrac{-3}{10}+\dfrac{1}{2}\right|-\dfrac{1}{6}\) d) \(\dfrac{1}{3}-\left(\dfrac{2}{3}-x+\dfrac{5}{4}\right)=\dfrac{7}{12}-\left(\dfrac{5}{2}-\dfrac{13}{6}\right)\)
Tìm y biết:
a) 2y . (y - \(\dfrac{1}{7}\)) = 0
b) \(-\dfrac{2}{5}+\dfrac{2}{3}y+\dfrac{1}{6}y=\dfrac{-4}{15}\)
Tìm các số x thỏa mãn:
a) \(x.\left(x-\dfrac{4}{7}\right)>0\)
b)\(\left(x-\dfrac{2}{5}x^2\right)< 0\)
c)\(\left(x-\dfrac{2}{5}\right).\left(x+\dfrac{3}{7}\right)>0\)
d)\(\left(x-\dfrac{2}{5}\right).\left(x+\dfrac{3}{7}\right).\left(x+\dfrac{3}{4}\right)>0\)
(* dấu . là dấu nhân nha bạn ^-^)
1) Viết kết quả dưới dạng một lũy thừa
a)\(4^{13}.5^{26}\)
b)\(27^{15}:9^{10}\)
c)\(\left(0,125\right)^3.512\)
d)\(9^{20}:\left(0,375\right)^{40}\)
e)\(81.2^8\)
2)Tính
a)\(\left(\dfrac{1}{2}\right)^3.\left(\dfrac{2}{3}\right)^2\)
b)\(7^{2015}.\left(\dfrac{1}{4}\right)^{2014}\)
c)\(\left(\dfrac{1}{2}\right)^3:\left(\dfrac{1}{2}\right)^6\)
d)\(\dfrac{4^2.4^3}{2^{10}}\)
e)\(\dfrac{\left(0,6\right)^5}{\left(0,2\right)^6}\)
f)\(\dfrac{3^3.\left(0,5\right)^5}{1,5^4}\)
g)\(\dfrac{2^7.9^3}{6^5.8^2}\)
i)\(\dfrac{6^3+3.6^2.3^3}{-13}\)
k)\(2:\left(\dfrac{1}{2}-\dfrac{2}{3}\right)^3\)
l)\(0,5^5.32\)
m)\(\left(-0,125\right)^5.80^5\)
n)\(\left(0,25\right)^3.64\)
o)\(\left(-0,02\right)^5.\left(0,01\right)^5\)
3)Tìm giá trị của x sao cho
a)\(x^2=3^2\)
b)\(x^3=2^3\)
c)\(x^4=16\)
Help me tối nay1/8 18h mik đi hc rồi
Tìm x
1) \(\left(\dfrac{1}{16}\right)^x=\left(\dfrac{1}{8}\right)^6\) 2) \(\left(\dfrac{1}{16}\right)^x=\left(\dfrac{1}{8}\right)^{36}\) 3) \(\left(\dfrac{1}{81}\right)^x=\left(\dfrac{1}{27}\right)^4\)
4) \(\left(\dfrac{4}{9}\right)^x=\left(\dfrac{8}{27}\right)^{10}\) 5) \(2^x=4^5.4^3\) help me !!!!
Tìm x biết:
a) \(\dfrac{-32}{\left(-2\right)^x}=4\) f) \(\left(3x-1\right)^3=\dfrac{-8}{27}\)
b) \(\left(\dfrac{1}{2}\right)^{2x-1}=\dfrac{1}{8}\) g) \(\left(2x+3\right)^2=\dfrac{9}{121}\)
c) \(\dfrac{1}{9}.27^x=3^x\) h) \(5^x+5^{x+2}=650\)
d) \(9^x:3^3=\dfrac{1}{243}\) i) \(\left(x-7\right)^{x+1}-\left(x-7\right)=0\)
e) \(\dfrac{x7}{81}=27\) m) \(\left(\dfrac{-3}{4}\right)^{3x-1}=\dfrac{256}{81}\)
tim x , biet :
a) x + \(\dfrac{3}{10}\)= \(\dfrac{-2}{5}\)
b) x + \(\dfrac{5}{6}\) = \(\dfrac{2}{5}\) - \(\left(-\dfrac{2}{3}\right)\)
c) \(1\dfrac{2}{5}\) x + \(\dfrac{3}{7}\) = \(-\dfrac{4}{5}\)
d) \(\left[x+\dfrac{3}{4}\right]-\dfrac{1}{3}=0\)
e) \(\left[x+\dfrac{4}{15}\right]-\left[-3,75\right]=-\left[-2,15\right]\)
f) \(\left(x-2\right)^2=1\)
g) \(\left(2x-1\right)^3=-27\)
h) \(\dfrac{x-1}{-15}=\dfrac{-60}{x-1}\)
i) x : \(\left(\dfrac{-1}{2}\right)^3=\dfrac{-1}{2}\)
j) \(\left(\dfrac{3}{4}\right)^5.x=\left(\dfrac{3}{4}\right)^7\)
k) \(8^x:2^x=4\)