ГДЗ по алгебре 9 класс Макарычев Задание 251

\[\boxed{\text{251}\text{\ (251)}\text{.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[f(x) = x^{7};\ \ g(x) = x^{10}\]

\[\textbf{а)}\ f(25) - f(12) =\]

\[= 25^{7} - 12^{7} > 0\ \]

\[\textbf{б)}\ f( - 30) - f( - 20) =\]

\[= ( - 30)^{7} - ( - 20)^{7} =\]

\[= - 30^{7} + 20^{7} < 0\]

\[\textbf{в)}\ f(0) \cdot f(60) = 0^{70} \cdot 60^{70} = 0\]

\[\textbf{г)}\ g(17) - g(5) =\]

\[= 17^{10} - 5^{10} > 0\]

\[\textbf{д)}\ g( - 9) \cdot g( - 17) =\]

\[= ( - 9)^{10} \cdot ( - 17)^{10} =\]

\[= 9^{10} \cdot 17^{10} > 0\]

\[\textbf{е)}g(38) - g(0) =\]

\[= 38^{10} - 0^{10} = 38^{10} > 0\ \]