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Category: Algebra

what-increase-will-it-be-to-transform-an-image-on-a-scale-of-1-75-to-1-300-

Question Number 59092 by necx1 last updated on 04/May/19 $${what}\:\%\:{increase}\:{will}\:{it}\:{be}\:{to}\:{transform} \\ $$$${an}\:{image}\:{on}\:{a}\:{scale}\:{of}\:\mathrm{1}:\mathrm{75}\:{to}\:\mathrm{1}:\mathrm{300}? \\ $$ Answered by MJS last updated on 04/May/19 $$\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{the}\:\mathrm{scales}: \\ $$$$\frac{\mathrm{75}}{\mathrm{300}}=\frac{\mathrm{1}}{\mathrm{4}}\:\Rightarrow\:−\mathrm{75\%} \\…

Question-59089

Question Number 59089 by Tawa1 last updated on 04/May/19 Answered by arcana last updated on 08/Jun/19 $${let}\:{m},{n}\geqslant\mathrm{1},{m}>{n} \\ $$$${x}_{{m}} −{x}_{{n}} ={x}_{{m}} −{x}_{{m}−\mathrm{1}} +{x}_{{m}+\mathrm{1}} −{x}_{{m}−\mathrm{2}} +…+{x}_{{n}+\mathrm{1}}…

fog-1-x-3x-2-gof-x-2x-1-find-f-x-and-fof-3-

Question Number 190137 by mustafazaheen last updated on 28/Mar/23 $$\begin{cases}{\mathrm{fog}^{−\mathrm{1}} \left(\mathrm{x}\right)=\mathrm{3x}+\mathrm{2}}\\{\mathrm{gof}\left(\mathrm{x}\right)=\mathrm{2x}−\mathrm{1}}\end{cases} \\ $$$${find}\:\:\:\:\:\:\mathrm{f}\left(\mathrm{x}\right)=?\:\:\:\mathrm{and}\:\:\:\:\mathrm{fof}\left(\mathrm{3}\right)=? \\ $$ Answered by 073 last updated on 28/Mar/23 $$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{g}^{−\mathrm{1}} \left(\mathrm{2x}−\mathrm{1}\right) \\…

Question-59070

Question Number 59070 by Tawa1 last updated on 04/May/19 Answered by tanmay last updated on 04/May/19 $$\left.\mathrm{14}\right){f}\left({x}\right)={q}\left({x}\right)\left({x}−\alpha\right) \\ $$$${x}−\alpha\:{is}\:{factor}\:{of}\:{f}\left({x}\right)\:{if}\:{f}\left(\alpha\right)=\mathrm{0} \\ $$$${abc}−\left({a}+{b}+{c}\right)\left({bc}+{ca}+{ab}\right)\leftarrow{put}\:{a}=−{b}\:{here} \\ $$$$\left(−{b}\right)\left({b}\right){c}−\left(−{b}+{b}+{c}\right)\left({bc}+{c}×−{b}+{b}×−{b}\right) \\ $$$$−{b}^{\mathrm{2}}…

Question-59060

Question Number 59060 by Tawa1 last updated on 04/May/19 Answered by tanmay last updated on 04/May/19 $${a}^{\mathrm{3}} +{b}^{\mathrm{3}} +{c}^{\mathrm{3}} −\mathrm{3}{abc} \\ $$$$\left({a}+{b}+{c}\right)\left({a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} −{ab}−{bc}−{ca}\right)…

if-x-2-y-2-z-2-14-2-x-2y-3z-find-T-xyz-x-3-y-3-z-3-

Question Number 190131 by HeferH last updated on 28/Mar/23 $$\:\mathrm{if}:\:\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} +\mathrm{z}^{\mathrm{2}} \:+\:\mathrm{14}\:=\:\mathrm{2}\left(\mathrm{x}\:+\:\mathrm{2y}\:+\:\mathrm{3z}\right) \\ $$$$\:\mathrm{find}:\:\:\mathrm{T}=\frac{\mathrm{xyz}}{\mathrm{x}^{\mathrm{3}} +\mathrm{y}^{\mathrm{3}} +\mathrm{z}^{\mathrm{3}} }\: \\ $$ Answered by som(math1967) last updated…

if-a-b-a-1-b-find-P-a-3-b-3-3ab-

Question Number 190115 by HeferH last updated on 27/Mar/23 $$\mathrm{if}:\:\:\left(\mathrm{a}+\mathrm{b}\right)\left(\mathrm{a}+\mathrm{1}\right)\:=\:\mathrm{b} \\ $$$$\:\mathrm{find}:\:\:\mathrm{P}\:=\:\:\sqrt{\mathrm{a}^{\mathrm{3}} +\mathrm{b}^{\mathrm{3}} −\mathrm{3ab}} \\ $$ Answered by som(math1967) last updated on 27/Mar/23 $$\left({a}+{b}\right)\left({a}+\mathrm{1}\right)={b} \\…