Question

Сор нужен 3 вопрс пж пж пж дам норм баллов

Answer 1

Ответ:

$\dfrac{(-3x+7)(5x+26)}{(x-1)(x-6)}\geq 0\ \ \ \Rightarrow \ \ \ \dfrac{-3\cdot 5\cdot (x-\frac{7}{3})(x-\frac{26}{5})}{(x-1)(x-6)}\geq 0\\\\\\\dfrac{(x-\frac{7}{3})(x-\frac{26}{5})}{(x-1)(x-6)}\leq 0\ \ \ ,\ \ \ x_1=\frac{7}{3}=2\frac{1}{3}\ ,\ x_2=\frac{26}{5}=5\frac{1}{5}\ ,\ x_3=1\ ,\ x_4=6\\\\\\znaki:\ \ +++(1)---[\ 2\frac{1}{3}\ ]+++[\ 5\frac{1}{5}\ ]---(6)+++\\\\x\in (\ 1\ ;2\frac{1}{3}\ ]\cup [\ 5\frac{1}{5}\ ;\ 6\ )$