Verified Answer :

The first step in solving this is to substitute x with 3 and y with 2, so that
\(\frac{1}{3} x^{2} +5.2y\)
becomes
\(\frac{1}{3} (3)^{2} +5.2(2)\)
Then simply solve using the order of operations.
First exponents (there are no parentheses)
\(\frac{1}{3} 9 +5.2(2)\)
Then multiply and divide
\(3+10.4\)
And finally add and subtract
\(13.4\)
Therefore the value of 1/3 x^2 + 5.2y when x=3 and y=2 is 13.4