OK, those are familiar. As others said these were often included with the Motorola antenna/mount kits.
The top antenna in the photo above is an 800MHz antenna.
The bottom antenna in the photo above is a 1/4 wave VHF whip.
For reception purposes, just leave them as is. You won't be able to tell the difference if you start adjusting them.
The 1/4 wave antennas are naturally very broad banded, so it's fine as is.
The 800's work well from 806 up to 870 as is out of the box. You can tweak them a bit to lower SWR on a transceiver setup, but that isn't necessary for scanning. The trouble with the loaded antennas like that is that it's limited by the coil and upper whip as to which frequencies it'll work on.
For indoor use, they'll work fine. Avoid using those on a vehicle or outdoor install. Those antenna types are notorious for water getting down inside the base and corroding everything out. I replaced a lot of those at work and tossed them all in the trash.