Algebra 2 (1st Edition)

The impendance of the circuit is $5-4i$ ohms.
The resistor has a resistance of $5$ ohms, so its impedance is $5$ ohms. The inductor has a reactance of $3$ ohms, so its impedance is $3i$ ohms. The capacitor has a reactance of $7$ ohms, so its impedance is $-7i$ ohms. Impedance of circuit: $=5+3i+(-7i)$ Simplify. $=5-4i$