Would cooked broccolli and carrots be ok after being refridgereted for a week?

It is not recommended to eat cooked broccoli and carrots that have been refrigerated for a week.

Here's why:

* Food Safety: While cooked vegetables can last longer than raw ones, a week is well beyond the recommended safe storage time. The risk of bacterial growth increases significantly after 3-4 days, even when refrigerated.

* Quality: The texture and flavor of the vegetables will degrade significantly after a week. They will likely become mushy, lose their vibrancy, and taste stale.

Recommendation: For best quality and safety, it's best to consume cooked broccoli and carrots within 3-4 days of preparation.

If you're unsure about the safety of any food, it's always best to err on the side of caution and discard it.