You may have errors in your English, but don't feel too bad: whoever "corrected" your sentence has more!i have wrote:
I belive that my education and employment background are appropriate for the position.
correct: i am told
I belive that my education and employment background is appropriate for
when do i use
what are there meaning
Your sentence is absolutely grammatically perfect (except you did misspell believe).
Whoever "corrected" your sentence is dead wrong.
"Is" and "are" are both different forms of the irregular verb BE:
I am (singular)
You are (singular)
He/She/It is (singular)
We are (plural)
You are (plural)
They are (plural)
As you can see, use is if the subject is singular, and use are if the subject is plural (or singular you).
In your subject, you mention two separate, distinct things: your education and your employment background. The plural verb are is correct.
If you wanted, you could combine them into a single idea as follows:
I believe my educational and employment background is appropriate for the position.
This could be interpreted as one background...but you didn't write the sentence that way. The way you wrote it, it is easy and natural to interpret your subject as being plural, and I would use are.
Hope this is clear.
Student or Learner