Answer:
The answer is B.
Explanation:
Acetoacetate and Acetyl CoA share a precursor with cholesterol synthesis which begins with Acetyl Coa but not β‑hydroxybutyrate.
Modifying other enzymes can be said for β‑hydroxybutyrate but not Acetoacetate.
They are not both produces from Acetyl Coa of fats. β‑hydroxybutyrate is produces from the acids with fats in the liver but the same can not be said for Acetoacetate.
However they both can be said to provide energy for the brain because they are both released into the bloodstream in the event of hunger or when the body/brain needs energy in a state of fasting.
I hope this answer helps.