Our conversational style and content _ by immigrants, by imported films, as well as by tv shows and by fashion. is influenced has influenced are influenced influence

are influenced. Style (what?) and content(what?) 1+1=2

2 mnozestvennoe 4islo zna4it forma glagola 'to be' budet 'are'

posle skazuemogo est 4astica 'by', что указывает на безличную форму глагола

to be influenced by immigrants

Has influenced something - форма, означающая "повлиял на что-то". 

Drugs have influenced his life. It will never be same again.

His commentary has influenced my decision on what to wear at the party.

Ещё говорят "Has influence on ..." оказывает влияние на...

I think videogame have influence on you, son. Get a job.

influence - влияние