'Responsible' in the Bible

When one man puts his hand on another in his father's house, and says, You have clothing, be our ruler and be responsible for us in our sad condition:

The Lord comes to be the judge of their responsible men and of their rulers: it is you who have made waste the vine-garden, and in your houses is the property of the poor which you have taken by force.

The man who is honoured and responsible is the head, and the prophet who gives false teaching is the tail.

Even when you are old I will be the same, and when you are grey-haired I will take care of you: I will still be responsible for what I made; yes, I will take you and keep you safe.