Corrected sentence: The carotid arteries carry blood to the head.
Why this is better (easy steps):
- Capitalization: Don't write all words in capital letters. Use a capital letter only at the start: "The".
- Article: "The" is OK because we are talking about specific arteries.
- Subject and verb: "arteries" is plural, so the verb "carry" is correct (not "carries").
- Preposition: Use "to the head" instead of "up to the head." "Up to" can mean a limit or amount, while "to" simply shows where the blood goes.
One-line version for remembering: Carotid arteries carry blood to the head. (There are two, one on each side of the neck.)