Premise:
"really i've heard a lot of good things about it but i've also heard that it can it becomes slow"
Hypothesis: I have heard some mixed thoughts about it.

yes

Premise:
"Why don't the courts put a stop to this?"
Hypothesis: Why don't courts stop this?

yes

Premise:
"The Gore family holiday photo greeting card was billed to the DNC at a cost of $110,000."
Hypothesis: The family liked to spend their money.
it is not possible to tell