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Question-135723

Question Number 135723 by Algoritm last updated on 15/Mar/21 Answered by liberty last updated on 15/Mar/21 $$\left(\mathrm{1}\right)\:\sqrt{{x}+\mathrm{3}}\:+\sqrt[{\mathrm{4}}]{\mathrm{9}−{x}}\:\leqslant\:\sqrt{\mathrm{3}}\:\wedge\:{x}^{\mathrm{2}} −\mathrm{16}>\mathrm{0} \\ $$$$\left(\mathrm{2}\right)\sqrt{{x}+\mathrm{3}}\:+\sqrt[{\mathrm{4}}]{\mathrm{9}−{x}}\:\geqslant\sqrt{\mathrm{3}}\:\wedge\:{x}^{\mathrm{2}} −\mathrm{16}>\mathrm{0} \\ $$$${solution}\::\:\left(\mathrm{1}\right)\cup\left(\mathrm{2}\right) \\ $$$$…

In-mathematics-I-have-worked-with-and-e-g-k-1-x-k-1-2-x-x-1-k-1-x-k-k-I-have-never-worked-with-I-am-curious-as-to-what-it-is-Is-it-another-notation-form-Does-k-1-x-k

Question Number 4650 by FilupSmith last updated on 18/Feb/16 $$\mathrm{In}\:\mathrm{mathematics}\:\mathrm{I}\:\mathrm{have}\:\mathrm{worked}\:\mathrm{with}: \\ $$$$\Sigma\:\mathrm{and}\:\Pi. \\ $$$${e}.{g}. \\ $$$$\underset{{k}=\mathrm{1}} {\overset{{x}} {\sum}}{k}\:=\:\frac{\mathrm{1}}{\mathrm{2}}{x}\left({x}+\mathrm{1}\right) \\ $$$$\underset{{k}=\mathrm{1}} {\overset{{x}} {\prod}}{k}\:=\:{k}! \\ $$$$ \\…

Consider-the-functions-f-x-5-4-x-and-g-x-0-25-2x-4-For-what-values-of-x-do-these-functions-assume-equal-values-

Question Number 70147 by Maclaurin Stickker last updated on 01/Oct/19 $${Consider}\:{the}\:{functions}\: \\ $$$${f}\left({x}\right)=\mathrm{5}×\mathrm{4}^{−{x}} \:{and}\:{g}\left({x}\right)=\left(\mathrm{0}.\mathrm{25}\right)^{\mathrm{2}{x}} +\mathrm{4} \\ $$$${For}\:{what}\:{values}\:{of}\:{x}\:{do}\:{these}\: \\ $$$${functions}\:{assume}\:{equal}\:{values}? \\ $$ Commented by kaivan.ahmadi last…

500-108-54-and-15-are-are-not-perfect-cubes-how-do-we-factorize-1-500X-3-108Y-3-2-54X-3-15Y-3-please-help-me-with-well-explained-steps-or-shortcut-thanks-

Question Number 135656 by otchereabdullai@gmail.com last updated on 14/Mar/21 $$\mathrm{500},\:\mathrm{108},\mathrm{54}\:\mathrm{and}\:\mathrm{15}\:\mathrm{are}\:\mathrm{are}\:\mathrm{not}\: \\ $$$$\mathrm{perfect}\:\mathrm{cubes}\:\mathrm{how}\:\mathrm{do}\:\mathrm{we}\:\mathrm{factorize} \\ $$$$\left(\mathrm{1}\right)\:\mathrm{500X}^{\mathrm{3}} −\mathrm{108Y}^{\mathrm{3}} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{54X}^{\mathrm{3}} +\mathrm{15Y}^{\mathrm{3}} \\ $$$$\mathrm{please}\:\mathrm{help}\:\mathrm{me}\:\mathrm{with}\:\mathrm{well}\:\mathrm{explained}\: \\ $$$$\mathrm{steps}\:\mathrm{or}\:\mathrm{shortcut}\:\mathrm{thanks} \\ $$ Commented…