Determine if the given set is a subspace of Pn for an appropriate value of n. Justify your answers. All polynomials of the form p(t)=a+t^2, where a is in R.

Part a : solve - vp + 40 < 65 for v . part b : solve 7w - 3r = 15 for r show your work!

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

In the polynomial below, what number should replace the question mark to produce a difference of squares? x2 + ? x - 36