36 is shown below Jake's solution to the equation-4 (2x - 3)
-4(2x - 3) = 36
-- 8x + 12 = 36
- 8x + 12 - 12 = 36 - 12
-8x = 24
23
How is the solution to the inequality - 4(2x - 3) > 36 similar to and different from Jake's solution shown above? Be specific in your answer. Use
mathematical evidence to support your answer.

The vertex of this parabola is at (-2, 5). which of the following could be it’s equation? a. y=3(x+2)^2-5 b. y=3(x-2)^2-5 c. y=3(x+2)^2+5 d. y=3(x-2)^2+5

Look at the following graph of the given equation. determine whether the equation is a function. explain why or why not.

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.