My work experience and education have provided me with an extensive background in business.
Do i use have/has here?
My work experience and education have provided me with an extensive background in business.
Do i use have/has here?
(both) My work experience and education have (both) provided me- with "both being implied in either part of the sentence.
However, this is not a strong opening sentence for a resume. There is nothing to suggest that your work experience, or your education provided an "extensive background in business."
"I have an extensive background in business, beginning with my x years, at X school, majoring in x, followed by x years working in x areas of business."
My work experience and education have provided me with an extensive background in business.
Do i use have/has here?
It's ambiguous. You could be talking about two separate things or a single, combined thing.
More explicitly:
Both my work experience and education have provided me with an extensive background in business.
Or:
The combination of my work experience and education has provided me with an extensive background in business.
So, you can use either one. If you don't make your meaning explicit, it will be assumed by the verb form you choose. (Nobody will think that you got it wrong.) If you use have, it will be interpreted as two things; if you use has, it will be interpreted as a single thing.