An equation is shown below:
5x + 3(x - 5) = 6x + 2x-15
part a: solve the equation and write the number of solutions. show all the steps.
part b: name one property you used to solve this equation.

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?

9000 dollars is placed in an account with an annual interest rate of 8%. how much will be in the account after 17 years, to the nearest cent?

Two terms in a geometric sequence are a5=15 and a6=1 what is the recursive rule that describes the sequence?