An ordinance or resolution adopted by the city council of a city operating under the council form of government is not enacted until the ordinance or resolution is approved by the mayor or passed over the mayor’s veto. An ordinance or resolution passed by the governing body of a city operating under the council form of government must be deposited in the office of the city auditor for the approval of the mayor. If the mayor approves the ordinance or resolution, the mayor shall sign the ordinance or resolution. An ordinance or resolution not approved by the mayor must be returned by the mayor with the mayor’s objections in writing to the next regular or special meeting of the council occurring not less than five days after the passage of the ordinance or resolution. The veto may extend to an entire ordinance or resolution or to any one or more items or appropriations contained in any ordinance or resolution making an appropriation. If a veto extends to only a part of an ordinance or resolution, the residue takes effect. If the mayor fails to return any ordinance or resolution with the mayor’s objections within the time specified in this section, the mayor is deemed to have approved the ordinance or resolution. Any veto of an ordinance or resolution may be overridden by the city council, if two-thirds of its members pass a motion to override the veto. Upon such action, the ordinance or resolution is effective notwithstanding the veto. The vote to pass an ordinance or resolution over the mayor’s veto must be taken by yeas and nays and entered in the journal.