Write an equation of the line passing through the point A(8, 2) that is perpendicular to the line y = 4x−7.

Amaple syrup producer records th amount of sap collected from each of his trees. the line plot shows the results for one day. what is the least amount of sap any one tree produced?

5x + 2 = 12 solve the following equation. then place the correct number in the box provided.

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.