Category: Arithmetic

Question Number 158054 by zainaltanjung last updated on 30/Oct/21 $$\mathrm{Find}\mathrm{the}\mathrm{composition}\mathrm{function}$$$$\mathrm{that}\mathrm{can}\mathrm{be}\mathrm{form}\mathrm{from}\mathrm{two}\mathrm{this}$$$$\mathrm{single}\mathrm{functions}\mathrm{below}:$$$$\mathrm{f}\left(\mathrm{x}\right)=2\mathrm{x}+4$$$$\mathrm{g}\left(\mathrm{x}\right)=\frac{2\mathrm{x}-7}{3\mathrm{x}}$$$$\bullet \mathrm{fog}\left(\mathrm{x}\right)=\dots \dots .$$$$\bullet \mathrm{gof}\left(\mathrm{x}\right)=\dots \dots$$ Answered…

Question Number 157805 by Huy last updated on 28/Oct/21 $$\mathrm{Find}\mathrm{x}\in \mathbb{R}:$$$${\mathrm{x}}^3-2\mathrm{x}+3=\sqrt{2\mathrm{x}+5}+4\sqrt{\mathrm{x}-1}$$ Answered by MJS_new last updated on 28/Oct/21 $$\mathrm{rhs}\mathrm{defined}\mathrm{for}x⩾1\mathrm{and}\mathrm{strictly}\mathrm{increasing}$$$$\mathrm{lhs}\:\mathrm{strictly}\:\mathrm{increasing}\:\mathrm{for}\:{x}>\frac{\sqrt{\mathrm{6}}}{\mathrm{3}}…

Question Number 92016 by peter frank last updated on 04/May/20 Answered by Rio Michael last updated on 04/May/20 $$\left(\mathrm{ii}\right){\mathrm{C}}_4{\mathrm{H}}_9\mathrm{Br}+\mathrm{NaOH}\to {\mathrm{C}}_4{\mathrm{H}}_9\mathrm{OH}+\mathrm{NaBr}$$$$\left(\mathrm{iii}\right)\:{CH}_{\mathrm{3}}…

Question Number 91912 by jagoll last updated on 03/May/20 $$\mathrm{if}\mid \mathrm{x}\mid ,\mid \mathrm{x}-1\mid ,\mid \mathrm{x}+1\mid \mathrm{are}\mathrm{first}$$$$\mathrm{three}\mathrm{terms}\mathrm{of}\mathrm{an}\mathrm{AP}.\mathrm{then}$$$$\mathrm{what}\mathrm{is}\mathrm{the}\mathrm{sum}\mathrm{of}{\mathrm{it}}^{\prime }\mathrm{s}\mathrm{first}$$$$10\mathrm{terms}\mathrm{equal}\mathrm{to}$$ Commented by jagoll last updated on 03/May/20…

Question Number 157074 by amin96 last updated on 19/Oct/21 $$\sqrt{4+\sqrt{4^2+\sqrt{4^3+\sqrt{4^4+\dots }}}}=?$$ Answered by MJS_new last updated on 19/Oct/21 $$3$$…