But Mancini believes there is plenty of room for improvement.
He said: "We are continuing to change our mentality and it was an important result for us. We worked hard in the first half and scored three goals in the second half which is not easy. Blackpool played very well.
"Strong teams win some games they probably do not deserve. It is impossible to always play well. But we did score three goals away from home."
Tevez has now 28 goals in his last 31 league games and team-mate Gareth Barry said: "He's carried on from last season. He's a world-class striker. Last season he got 20-odd goals (29) and I'm sure he can do that again. If he does we'll be right up there come the end of the season."