MathNet 2015-part-05 — 191 problems (EN–VI) Question 190

Determine the parameter $a \in \mathbb{R}$ so that the graph of the function $f(x)=\frac{3-2a}{a+5} x+\frac{2a-1}{3-a}$ intersects the ordinate axis above the origin and the function $f$ is decreasing.