Question Number 5966 by Kasih last updated on 07/Jun/16 $${equation}\:\left(\mathrm{1}\right)\:\mathrm{2}{A}+\mathrm{5}{B}+{C}+\mathrm{29}=\mathrm{0} \\ $$$${equation}\:\left(\mathrm{2}\right)\:\mathrm{9}{A}+\mathrm{6}{B}+{C}+\mathrm{117}=\mathrm{0} \\ $$$${equation}\:\left(\mathrm{3}\right)\:\mathrm{3}{A}−\mathrm{2}{B}+{C}+\mathrm{13}=\mathrm{0} \\ $$$${A}=…?\:{B}=…?\:{C}=…? \\ $$ Answered by Ashis last updated on 07/Jun/16…
Question Number 5965 by love math last updated on 07/Jun/16 $${log}_{\frac{\mathrm{1}}{\mathrm{2}}} \left({x}^{\mathrm{2}} +\mathrm{7}{x}+\mathrm{12}\right)>{log}_{{x}+\mathrm{5}} \left({x}^{\mathrm{2}} +\mathrm{7}{x}+\mathrm{12}\right) \\ $$ Commented by Yozzii last updated on 07/Jun/16 $$\frac{{lnu}}{{ln}\mathrm{0}.\mathrm{5}}>\frac{{lnu}}{{ln}\left({x}+\mathrm{5}\right)}\:\:\:\:\left({change}\:{of}\:{base}/{u}={x}^{\mathrm{2}}…
Question Number 137038 by bobhans last updated on 29/Mar/21 $$ \\ $$Given triangle ABC, what is the maximum value of y=2cosA + cosB + cosC?…
Question Number 5963 by Ashis last updated on 07/Jun/16 $$\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{what}}\:\boldsymbol{\mathrm{value}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{k}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{system}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{equation}}\:\boldsymbol{\mathrm{has}}\:\boldsymbol{\mathrm{no}}\:\boldsymbol{\mathrm{solution}} \\ $$$$\boldsymbol{\mathrm{x}}+\mathrm{2}\boldsymbol{\mathrm{y}}+\mathrm{3}\boldsymbol{\mathrm{z}}=\mathrm{1} \\ $$$$\mathrm{2}\boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{ky}}+\mathrm{5}\boldsymbol{\mathrm{z}}=\mathrm{1} \\ $$$$\mathrm{3}\boldsymbol{\mathrm{x}}+\mathrm{4}\boldsymbol{\mathrm{y}}+\mathrm{7}\boldsymbol{\mathrm{z}}=\mathrm{1} \\ $$ Commented by Yozzii last updated on 07/Jun/16…
Question Number 71499 by petrochengula last updated on 16/Oct/19 Commented by petrochengula last updated on 16/Oct/19 $$\mathrm{help}\:\mathrm{2a} \\ $$ Answered by MJS last updated on…
Question Number 137035 by mr W last updated on 29/Mar/21 $$\mathrm{Given}\:\mathrm{a}\:\mathrm{10}−\mathrm{digit}\:\mathrm{number}\:{X}\:=\:\mathrm{1345789026} \\ $$$$\mathrm{How}\:\mathrm{many}\:\mathrm{10}−\mathrm{digit}\:\mathrm{number}\:\mathrm{that}\:\mathrm{can}\:\mathrm{be}\:\mathrm{made} \\ $$$$\mathrm{using}\:\mathrm{every}\:\mathrm{digit}\:\mathrm{from}\:{X},\:\mathrm{with}\:\mathrm{condition}: \\ $$$$\mathrm{If}\:\mathrm{a}\:\mathrm{number}\:{n}\:\:\mathrm{is}\:\mathrm{located}\:\mathrm{in}\:{k}^{{th}} \:\mathrm{position}\:\mathrm{of}\:{X},\:\mathrm{then} \\ $$$$\mathrm{the}\:\mathrm{new}\:\mathrm{created}\:\mathrm{number}\:\mathrm{must}\:\mathrm{not}\:\mathrm{contain} \\ $$$$\mathrm{number}\:{n}\:\mathrm{in}\:{k}^{{th}} \:\mathrm{position} \\ $$$$…
Question Number 71490 by oyemi kemewari last updated on 16/Oct/19 Commented by mathmax by abdo last updated on 16/Oct/19 $${let}\:{A}=\int_{\mathrm{0}} ^{\frac{\mathrm{1}}{\mathrm{2}}} \:\frac{\mathrm{1}+\sqrt{\mathrm{3}}}{\left(^{\mathrm{4}} \sqrt{\left(\mathrm{1}+{x}\right)^{\mathrm{2}} \left(\mathrm{1}−{x}\right)^{\mathrm{6}} }\right.}{dx}\:\Rightarrow{A}=\left(\mathrm{1}+\sqrt{\mathrm{3}}\right)\int_{\mathrm{0}}…
Question Number 137027 by liberty last updated on 29/Mar/21 $$\mathrm{2x}\:\mathrm{dx}\:+\:\mathrm{x}^{−\mathrm{2}} \left(\mathrm{x}\:\mathrm{dy}−\mathrm{y}\:\mathrm{dx}\right)\:=\:\mathrm{0} \\ $$ Answered by bobhans last updated on 29/Mar/21 Terms of Service Privacy Policy…
Question Number 5953 by 314159 last updated on 07/Jun/16 Commented by Rasheed Soomro last updated on 07/Jun/16 $$\mathcal{T}{h}\:{a}\:{nk}\mathcal{S}! \\ $$ Commented by Yozzii last updated…
Question Number 137026 by metamorfose last updated on 29/Mar/21 $$\:\mathrm{2971}{x}\equiv\mathrm{1792}\left({mod}\:\mathrm{1000}\right)…{x}\in{Z}? \\ $$ Commented by yutytfjh67ihd last updated on 30/Mar/21 Commented by mr W last updated…