Express the solution to the recursion nt+1 = ant in terms of the eigenvectors and eigenvalues of a. use de moivre’s theorem to simplify the solution, if appropriate.
a=
[a -1
1 -a]
and n0 =
[1
0], where a is a real number.

Teams of 4 are competing in a 1/4 mile relay race. each runner must run the same exact distance. what is the distance each teammate runs?

Which graph represents the function g(x) = |x + 4| + 2?

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?