A bag contains 5 orange marbles and 30 red marbles. If a representative sample contains 3 Orange
marbles, then how many orange marbles would you expect it to contain? Explain.
Because the ratio of yellow marbles to orange marbles is in the population, the expected
number of orange marbles is times the number of yellow marbles in the representative sample.
There should be orange marbles.

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.

What is the solution of the systems of equations? y=2/3x+3 x=-2

Lindsay used two points, (x, y; ) and (+2.82), to find the equation of the line, y = mx + b, that passes through the points. y2-y, first, she used the definition of slope and determined that the value of mis x, - . given this information, which expression must represent the value of b?