The state government oversees affairs within state borders. It raises income taxes and oversees state welfare programs, such as Medicaid. It also controls the state criminal code, maintains state roads, and carries out federal laws and programs at the state level. State and local courts hear cases and interpret the state constitution and laws. State and local governments work together to operate schools and ensure they meet state standards.
Local Government – Towns or cities have mayors and councils to oversee the delivery of public services. Local government responsibilities include managing most public services, such as parks, libraries, schools,
police, and fire services Local governments solve common problems, such as
funding police and fire departments and education.
https://www.lwv-rva.org/levels-of-government-how-federal-state-and-local-government-work-together/