Final answer:
The cell type that uses a combined primase of RNA polymerase and DNA polymerase for primer synthesis is the bacterial cell.
Step-by-step explanation:
The cell type that uses a primase that is a combination of RNA polymerase and DNA polymerase, making short RNA primers which are then extended with DNA to produce the final primer, pertains to bacterial cells. In bacterial cells, like E. coli, a single RNA polymerase enzyme, composed of five subunits, catalyzes the transcription of all types of RNAs. This contrasts with eukaryotic cells that use different RNA polymerases for synthesizing ribosomal RNA (rRNA), transfer RNA (tRNA), and messenger RNA (mRNA). Additionally, the rate of replication in prokaryotic organisms is ten times faster than in eukaryotes, and DNA pol I serves as the primer remover in prokaryotes whereas RNase H performs this role in eukaryotes.