Answer:
![x=35.4\ years](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bpyeqonukrh7fy35j7jvovxhcjxdv17031.png)
Explanation:
we have
![f(x)=3√(210x)+389](https://img.qammunity.org/2020/formulas/mathematics/middle-school/i78ng10smznhm0zya7hgbrbio2g6otlzm2.png)
![g(x)=0.4x^(2)+3x+41](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fd42z15cj21fxluz5evpq0xzxnxz6zj19o.png)
Solve the system by graphing
The x-coordinate of the intersection point both graphs represent the number of years in which the human population and the coyote population reach the same number
using a graphing tool
The solution is
![x=35.4\ years](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bpyeqonukrh7fy35j7jvovxhcjxdv17031.png)
see the attached figure