Đặt:
\(min=5+\dfrac{15}{4\left|3x+7\right|+3}\)
Ta có: \(\left|3x+7\right|\ge0\Rightarrow4\left|3x+7\right|\ge0\forall x\)
\(\Rightarrow4\left|3x+7\right|+3\ge3\)
\(\Rightarrow\dfrac{15}{4\left|3x+7\right|+3}\le5\)
\(5+\dfrac{15}{4\left|3x+7\right|+3}\le10\)
Vậy \(max_{min}=10\)
Câu 1: Tinh
\(A=\left(\dfrac{3}{5}\right)^2.5^2-\left(2\dfrac{1}{4}\right)^3:\left(\dfrac{3}{4}\right)^3+\dfrac{1}{2}\)
\(B=\left[\dfrac{4}{11}.\left(\dfrac{1}{25}\right)^0+\dfrac{7}{22}.2\right]^{2010}-\left(\dfrac{1}{2^2}:\dfrac{8^2}{4^4}\right)^{2009}\)
\(\dfrac{7}{8}.\left(\dfrac{2}{12}+\dfrac{4}{10}\right)\)
\(\dfrac{3}{2}-\dfrac{5}{6}:\left(\dfrac{1}{2}\right)^2+\sqrt{4}\)
Câu 2: Tim x
\(2.x-\dfrac{5}{4}=\dfrac{20}{15}\)
\(\left(x+\dfrac{1}{3}\right)^3=\left(\dfrac{-1}{8}\right)\)
a, Tìm GTNN của B= 4,2 + \(\left|x+1,5\right|\)
b,Tìm GTLN của C= \(\dfrac{4}{5}-\left|2x+1\right|\)
1. Tính ( hợp lý nếu có thể )
a, A = \(\dfrac{7,5-0,6+\dfrac{3}{7}+\dfrac{3}{13}}{2,75-2,2+\dfrac{11}{7}+\dfrac{11}{3}}\)
b, B = 26 : \(\left[\dfrac{3:\left(0,2-0,1\right)}{2,5.\left(0,8+1,2\right)}+\dfrac{\left(34,06-33,81\right).4}{6.84:\left(28,57-25,15\right)}\right]\)+ \(\dfrac{2}{3}\) : \(\dfrac{4}{21}\)
c, C = \(\left[\left(\dfrac{2}{193}-\dfrac{3}{386}\right).\dfrac{193}{17}+\dfrac{33}{34}\right]\) : \(\left[\left(\dfrac{7}{2001}+\dfrac{11}{4002}\right).\dfrac{2001}{25}+\dfrac{9}{2}\right]\)
d, D = \(\dfrac{0.8:\left(\dfrac{4}{5}.1,25\right)}{0.64-\dfrac{1}{25}}\) + \(\dfrac{\left(1.08-\dfrac{5}{25}\right):\dfrac{4}{7}}{\left(6\dfrac{5}{9}-3\dfrac{1}{4}\right).2\dfrac{2}{7}}\) + ( 11,2 . 0,5 ) : \(\dfrac{4}{5}\)
Giúp mk nha chỉ là tính toán thông thường tính ra là đc nhưng mà mk lại khó tính ra nên các bn giúp mk nha
1/ Tìm GTNN:
a,\(\left|7x-5y\right|+\left|2z-3y\right|+\left|xy+yz+xz-2000\right|\)
b,\(\left|3x-7\right|+\left|3x+2\right|+8\)
2/ Tìm x, y:
a, \(\left|x-5\right|+\left|1-x\right|=\dfrac{12}{\left|y+1\right|+3}\)
b,\(\left|y+3\right|+5=\dfrac{10}{\left(2x-6\right)^2+2}\)
c,\(\left|x-1\right|+\left|3-x\right|=\dfrac{6}{\left|y+3\right|+3}\)
E=\(\dfrac{98:\left(\dfrac{4}{5}.1,25\right)}{0,64-\dfrac{1}{25}}\) + \(\dfrac{\left(1.08-\dfrac{2}{25}\right):\dfrac{4}{7}}{\left(6\dfrac{5}{9}-3\dfrac{1}{4}\right).2\dfrac{2}{17}}\)
mọi người ơi giúp mình bài này vơi , ai làm đc mik tick cho
Tìm x biết :
b) |x - 1| + 3x = 1
c) |2x - 1| = |2x + 3|
d) |x| + |x + 2| = 0
e) \(\left|x\left(x^2-\dfrac{5}{4}\right)\right|=x\)
Tìm x biết x thuộc Z
a) |x| < \(2\dfrac{4}{5}\)
b) |x| > \(11\dfrac{3}{8}\)
c) \(\left|x-\dfrac{5}{3}\right|< \dfrac{1}{3}\)
d) \(\left|x+\dfrac{11}{2}\right|>\left|-5,5\right|\)
e) \(\dfrac{7}{6}< \left|x-\dfrac{2}{3}\right|< \dfrac{26}{9}\)
f) \(\dfrac{2}{5}< \left|x-\dfrac{7}{5}\right|< \dfrac{3}{5}\)
Bất kì câu trả lời nào liên quan đến câu hỏi tớ đều tick nhé, nhưng nếu có bạn làm rồi mà một bạn khác làm lại thì tớ không tick
a) \(\left[\left(-32,47\right)+68,12\right]+32,47\)
b) \(\left[\left(-61,8\right)+\left(-123,6\right)\right]+\left[83,6+61,8\right]\)
c) \(-\left(\dfrac{2}{7}+\dfrac{1}{3}-\dfrac{5}{6}\right)-\left(\dfrac{-9}{7}+\dfrac{14}{7}-\dfrac{1}{5}+\dfrac{5}{3}\right)\)
Tìm x, biết:
a) \(\dfrac{x+1}{5}\) + \(\dfrac{x+3}{4}\) = \(\dfrac{x+5}{3}\) + \(\dfrac{x+7}{2}\)
b) \(\dfrac{3}{\left(x+2\right)\left(x+5\right)}\) + \(\dfrac{5}{\left(x+5\right)\left(x+10\right)}\) + \(\dfrac{7}{\left(x+10\right)\left(x+17\right)}\) = \(\dfrac{x}{\left(x+2\right)\left(x+17\right)}\)
Giải chi tiết cho mk cả hai phần nha!
giúp mk vs làm mãi ko ra mk cảm ơn trc.
a)\(P=\dfrac{\dfrac{42}{31}.\dfrac{31}{7}-\left(1.5-6\dfrac{1}{3}.\dfrac{2}{19}\right)}{4\dfrac{5}{6}+\dfrac{1}{6}.\left(12-5\dfrac{1}{3}\right)}.\left(-1:\dfrac{14}{39}\right)\)
b)\(Q=\left(\dfrac{1}{4}-1\right).\left(\dfrac{1}{9}-1\right).\left(\dfrac{1}{16}-1\right).\left(\dfrac{1}{25}-1\right).....\left(\dfrac{1}{121}-1\right)\)
