Demuestre que el conjunto de números reales positivos forma un espacio vectorial bajo las operaciones x + y = xy y ax = x^a

Which describes the difference between the graph of f(x)=x^2 and g(x)=-(x^2-2)

You are designing a rectangular pet pen for your new baby puppy. you have 30 feet of fencing you would like the fencing to be 6 1/3 feet longer than the width

Atorch and a battery cost 2.50 altogether.the torch costs 1.50 more than the battery.what fraction of the total price is the torch? give your answer in its simplest form.