The city council shall hear, consider, and pass upon the protests against the proposed improvement at the time appointed, or at any time to which the hearings may be adjourned, and its decision on all matters of protest shall be final and conclusive. If those protests are sustained, the proceedings shall be abandoned but may be renewed at any time. If those protests are denied or if no protests are filed the proposed assessment as the same shall have been modified or corrected shall be confirmed, and the city council shall thereupon acquire jurisdiction to proceed with the improvement and may by resolution order the proposed improvement to be made.