Question Number 199608 by mathlove last updated on 06/Nov/23 $$\left.\mathrm{1}\right)\:\:\:\mathrm{3}<\mid\mathrm{2}{x}−\mathrm{1}\mid<\mathrm{7}\:\:{find}\:\Sigma{x}\:\:\:\:;{x}\in{Z} \\ $$$$\left.\mathrm{2}\right)\:\:\:\mathrm{4}\leqslant\mid{x}−\mathrm{2}\mid<\mathrm{5}\:\:{find}\:\Sigma{x}\:\:\:\:;{x}\in{Z} \\ $$$$ \\ $$ Answered by mr W last updated on 06/Nov/23 $$\left.\mathrm{1}\right)…
Question Number 199632 by hardmath last updated on 06/Nov/23 In a swimming pool there are four pipes that fill it with water. When pipes 1,…
Question Number 199620 by Mingma last updated on 06/Nov/23 Answered by AST last updated on 06/Nov/23 $${f}\left({x}\right)=\frac{{x}^{\mathrm{2}} }{\mathrm{2}}+{cx};{f}\left(\mathrm{4}\right)=\mathrm{10}\Rightarrow{c}=\frac{\mathrm{1}}{\mathrm{2}}\Rightarrow{f}\left({x}\right)=\frac{{x}\left({x}+\mathrm{1}\right)}{\mathrm{2}} \\ $$ Commented by Mingma last updated…
Question Number 199654 by hardmath last updated on 06/Nov/23 $$\mathrm{x}^{\mathrm{4}} \:+\:\mathrm{4x}^{\mathrm{3}} \:−\:\mathrm{8x}\:+\:\mathrm{1}\:−\:\mathrm{m}\:=\:\mathrm{0} \\ $$$$\mathrm{has}\:\mathrm{4}\:\mathrm{real}\:\mathrm{roots} \\ $$$$\mathrm{find}\:\:\mathrm{m}=? \\ $$ Answered by Frix last updated on 07/Nov/23…
Question Number 199550 by hardmath last updated on 05/Nov/23 $$\mathrm{If} \\ $$$$\mathrm{x}\:=\:\sqrt{\mathrm{7}\:+\:\mathrm{4}\sqrt{\mathrm{3}}} \\ $$$$\mathrm{Find}: \\ $$$$\frac{\mathrm{x}^{\mathrm{4}} \:−\:\mathrm{x}^{\mathrm{3}} \:−\:\mathrm{9x}^{\mathrm{2}} \:−\:\mathrm{2x}\:+\:\mathrm{5}}{\mathrm{x}^{\mathrm{2}} \:−\:\mathrm{4x}\:+\:\mathrm{3}}\:\:=\:\:? \\ $$ Answered by Rasheed.Sindhi…
Question Number 199547 by hardmath last updated on 05/Nov/23 Answered by mr W last updated on 05/Nov/23 $$\left.\mathrm{1}\right) \\ $$$${n}×{n}!=\left({n}+\mathrm{1}−\mathrm{1}\right)×{n}!=\left({n}+\mathrm{1}\right)!−{n}! \\ $$$$\mathrm{1}×\mathrm{1}!+\mathrm{2}×\mathrm{2}!+…+\mathrm{2022}×\mathrm{2022}! \\ $$$$=\mathrm{2}!−\mathrm{1}!+\mathrm{3}!−\mathrm{2}!+….+\mathrm{2023}!−\mathrm{2022}! \\…
Question Number 199606 by essaad last updated on 05/Nov/23 Answered by cortano12 last updated on 06/Nov/23 $$\:\mathrm{L}\:=\:\infty\: \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 199602 by hardmath last updated on 05/Nov/23 $$\mathrm{2}\:+\:\mathrm{7}\:+\:\mathrm{12}\:+\:…\:+\:\boldsymbol{\mathrm{x}}\:=\:\mathrm{270} \\ $$$$\mathrm{Find}:\:\:\:\boldsymbol{\mathrm{x}}\:=\:? \\ $$ Answered by Rasheed.Sindhi last updated on 06/Nov/23 $${a}=\mathrm{2},{d}=\mathrm{5} \\ $$$${S}_{{n}} =\frac{{n}}{\mathrm{2}}\left(\mathrm{2}{a}+\left({n}−\mathrm{1}\right){d}\right)…
Question Number 199592 by hardmath last updated on 05/Nov/23 Commented by mr W last updated on 06/Nov/23 $${impossible}!\:{you}\:{can}\:{not}\:{get}\:{a}\:{sum}\:{of} \\ $$$$\mathrm{270}\:! \\ $$ Commented by mr…
Question Number 199593 by jabarsing last updated on 05/Nov/23 $${if}\:\left\{{a}_{{n}} \right\}\:{is}\:{geometric}\:{sequence}\:{and}\: \\ $$$$ \\ $$$${we}\:{know}\:,\:{p}=\frac{{n}+{m}}{\mathrm{2}}\:\:\Rightarrow \\ $$$$\:{S}_{{p}} \:=\:{f}\left({a}_{{n}} ,{a}_{{m}} ,{n},{m}\right)=? \\ $$$$\blacksquare{Attention}:\: \\ $$The purpose…