Question Number 59164 by hovea cw last updated on 05/May/19 $$\mathrm{5}^{\mathrm{x}} =\mathrm{0} \\ $$$$\mathrm{find}\:\mathrm{x} \\ $$ Answered by MJS last updated on 05/May/19 $$\mathrm{5}^{{x}} =\mathrm{0}\:\mathrm{has}\:\mathrm{no}\:\mathrm{solution}\:\mathrm{for}\:{x}\in\mathbb{R}…
Question Number 59133 by Tawa1 last updated on 05/May/19 $$\mathrm{The}\:\mathrm{total}\:\mathrm{number}\:\mathrm{of}\:\mathrm{terms}\:\mathrm{in}\:\mathrm{the}\:\mathrm{expression}\:\:\:\left(\mathrm{x}\:+\:\mathrm{a}\right)^{\mathrm{100}} \:+\:\left(\mathrm{x}\:−\:\mathrm{a}\right)^{\mathrm{100}} \\ $$$$\mathrm{after}\:\mathrm{simplification}\:\mathrm{is}\:\:? \\ $$ Answered by $@ty@m last updated on 05/May/19 $${In}\:\left({x}−{a}\right)^{{n}} , \\…
Question Number 59102 by Tawa1 last updated on 04/May/19 $$\mathrm{use}\:\mathrm{remainder}\:\mathrm{theorem}\:\mathrm{to}\:\mathrm{factorize}\:\mathrm{completetly}\:\mathrm{the}\:\mathrm{expression} \\ $$$$\:\:\:\:\:\mathrm{x}^{\mathrm{3}} \left(\mathrm{y}\:−\:\mathrm{z}\right)\:+\:\mathrm{y}^{\mathrm{3}} \left(\mathrm{z}\:−\:\mathrm{x}\right)\:+\:\mathrm{z}^{\mathrm{3}} \left(\mathrm{x}\:−\:\mathrm{y}\right) \\ $$ Answered by tanmay last updated on 04/May/19 $${E}=\mathrm{0}\:{when}\:{x}={y}\:{so}\:\left({x}−{y}\right){is}\:{factor}\:\left({E}={given}\:{expression}\right)…
Question Number 59094 by peter frank last updated on 04/May/19 Commented by Kunal12588 last updated on 04/May/19 I just want to ask from where do you get such question. Answered by MJS last updated on 04/May/19…
Question Number 59095 by necx1 last updated on 04/May/19 $${An}\:{building}\:{student}\:{makes}\:{a}\:{floor} \\ $$$${plan}\:{of}\:{a}\:{building}\:{on}\:{a}\:{scale}\:{of}\:\mathrm{1}:\mathrm{75}.{At} \\ $$$${what}\:\%\:{change}\:{will}\:{he}\:{need}\:{to}\:{convert} \\ $$$${it}\:{to}\:{a}\:{scale}\:{of}\:\mathrm{1}:\mathrm{250}? \\ $$ Answered by MJS last updated on 04/May/19…
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 $$\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{the}\:\mathrm{scales}: \\ $$$$\frac{\mathrm{75}}{\mathrm{300}}=\frac{\mathrm{1}}{\mathrm{4}}\:\Rightarrow\:−\mathrm{75\%} \\…
Question Number 59089 by Tawa1 last updated on 04/May/19 Answered by arcana last updated on 08/Jun/19 $${let}\:{m},{n}\geqslant\mathrm{1},{m}>{n} \\ $$$${x}_{{m}} −{x}_{{n}} ={x}_{{m}} −{x}_{{m}−\mathrm{1}} +{x}_{{m}+\mathrm{1}} −{x}_{{m}−\mathrm{2}} +…+{x}_{{n}+\mathrm{1}}…
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Question Number 190137 by mustafazaheen last updated on 28/Mar/23 $$\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 $$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{g}^{−\mathrm{1}} \left(\mathrm{2x}−\mathrm{1}\right) \\…
Question Number 59070 by Tawa1 last updated on 04/May/19 Answered by tanmay last updated on 04/May/19 $$\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}}…