In the xy-coordinate 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
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 low-flow 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 low-flow showerheads. The family uses the shower an average of 20 minutes per day and pays $0.002 per gallon of water.
What is one solution of the equation x² - 21.75x = -15.75?
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, 20% 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
Algebra 1 State Test Practice Archives