1. jin bought 3 small candles and 1 medium candle for $3.85. trish bought 4 small candles and 5 medium candles for $10.45.
(a) write a system of equations that you could use to find the cost of each size of candle. use s for the cost of a small candle and m for the cost of a medium candle.
(b) solve the system.
(c) mark bought 2 small candles and 1 medium candle. how much did he pay in all?
consider the system of equations.

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Common binomial factor of 6x(3x+7)+5(3x+7)

What is the the greatest common factor ?