Y x 35% + y x 0.65 + y = 4040
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(=\left(\frac{75}{100}+\frac{65}{100}+\frac{1}{4}+\frac{35}{100}\right)\left(\frac{1}{4}.2+\frac{25}{100}.3+\frac{25}{100}.5\right)\)
\(=\left(\frac{3}{4}+\frac{13}{20}+\frac{1}{4}+\frac{7}{20}\right)\left(\frac{2}{4}+\frac{3}{4}+\frac{5}{4}\right)\)
\(=\left(1+1\right).\frac{10}{4}\)
\(=2.\frac{5}{2}\)
\(=5\)
\(A=y-2y^2+4040=-2\left(y^2-\dfrac{y}{2}+\dfrac{1}{16}\right)+\dfrac{32321}{8}\)
\(=-2\left(y-\dfrac{1}{4}\right)^2+\dfrac{32321}{8}\le\dfrac{32321}{8}\)
\(maxA=\dfrac{32321}{8}\Leftrightarrow y=\dfrac{1}{4}\)
Bài làm:
Ta có: \(y.35\%+y.0,65+y=4040\)
\(\Leftrightarrow\frac{7}{20}y+\frac{13}{20}y+y=4040\)
\(\Leftrightarrow y+y=4040\)
\(\Leftrightarrow2y=4040\)
\(\Rightarrow y=2020\)
\(y.35\%+y.0,65+y=4040\)
\(< =>y.\frac{35}{100}+y.\frac{65}{100}+y=4040\)
\(< =>y\left(\frac{35}{100}+\frac{65}{100}\right)+y=4040\)
\(< =>y.\frac{100}{100}+y=4040\)
\(< =>y+y=4040< =>2y=4040\)
\(< =>y=\frac{4040}{2}=2020\)