Answer
The graph of $x(\frac{520}{3}-x)$ with $0\lt x\lt\frac{520}{3}$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/6a453807-fea7-48d6-896d-45d7cb1de1b2/result_image/1563055320.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001408Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=82046141d3ca9dd4f627f597de7169fe375a462f3e25fb4139df494acb8a2f11)
Work Step by Step
$y=\frac{520}{3}-x$
The dimensions must be positive numbers. That is, $x\gt0$ and $y\gt0$
$y\gt0$
$\frac{520}{3}-x\gt0$
$-x\gt\frac{520}{3}$
$x\lt\frac{520}{3}$
So: $0\lt x\lt\frac{520}{3}$