Answer
$(2.5,31.25)$
Work Step by Step
We set the two formulas equal and solve and solve for $x$.
$$
\begin{aligned}
0.8 x^4 & =5 x^2 \\
\frac{x^4}{x^2} & =\frac{5}{0.8} \\
x^2 & =6.25 \\
x & =(6.25)^{1 / 2}=2.5 .
\end{aligned}
$$
The corresponding $y$ value is
$$
y=5(2.5)^2=31.25
$$
The coordinates of the point of intersection are $(2.5,31.25)$.
