Seth is a gold miner. The function P = 45g + 15 represents the amount of money he gets for each gram, g, of gold. If he finds a nugget, the value of the nugget is 1.5 times the value of the weight of gold. The function B = 1.5P represents the amount of money for a gold nugget. Which function represents the amount of money for a gold nugget weighing g grams?

Need ! give step by step solutions on how to solve number one \frac{9-2\sqrt{3} }{12+\sqrt{3} } number two x+4=\sqrt{13x-20} number three (domain and range) f(x)=2\sqrt[3]{x} +1

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?

Elizabeth claims that the fourth root of 2 can be expressed as 2^m since (2^m)^n = 2. find the values of m and n for the case where elizabeth's claim is true.