In the xycoordinate plane, the graph of the equation y = 3x²  12x  36 has zeros at x = a and x = b,
where a < b. The graph has a minimum at (c , 48). What are the values of a, b, and c? A.) a = 2, b = 4, and c = 2 B.) a = 2, b = 6, and c = 2 C.) a = 3, b = 3, and c = 0 D.) a = 3, b = 6, and c = 2
A high school is having a talent contest and will give different prizes for the best five acts in the show. First place wins the most money and each place after that wins $50 less than the previous place.
Use the information provided to answer Part A and Part B.
Use the information provided to answer Part A and Part B.
The Water Watch program is encouraging customers to reduce the amount of water they use each day. The program is selling lowflow showerheads, which use 2 gallons of water per minute, for $54 each. A family currently has a showerhead that uses 5 gallons of water per minute and is considering replacing it with one of the lowflow showerheads. The family uses the shower an average of 20 minutes per day and pays $0.002 per gallon of water.
Let x + y = c, where c is a real number.
Determine the number of points that would be on the graph of the equation for each given case: Case 1: c < 0 Case 2: c = 0 Case 3: c > 0 Justify your answers.
Phil and Matt made cookies for a fundraiser at their high school.
 Phil made 25% more cookies than Matt  The cookies sold for $0.25 each  After the sale, 25% of the combined total of their cookies remained.
Consider the three points (4,3) , (20,15) , and (48,36).
At the beginning of an experiment, the number of bacteria in a colony was counted at time t = 0. The number of bacteria in the colony t minutes after the initial count is modeled by the function b(t) = 4(2)^t. Which value and unit represent the average rate of change in the number of bacteria for the first 5 minutes of the experiment? Select all that apply.
A.) 24.0 E.) bacteria B.) 24.8 F.) minutes C.) 25.4 G.) bacteria per minute D.) 25.6 H.) minutes per bacteria 
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February 2021
