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Retail businesses strive to price their products so that they sell as many as possible without losing money. Economic equilibrium is the price point at which the supply for a product is equal to the demand for that product. The graph above models this scenario. According to the graph, at what price in dollars will supply equal demand for this particular product?
2. Once an insect reaches its larval stage, its mass increases linearly for a short period of time and then slows down as it prepares to enter pupation. Suppose the larva of a certain species has an initial mass of 10 grams and grows linearly from t = 0 to t = 48 hours of its larval stage. If after 48 hours, the mass of the larva is 14 grams, what was its mass in grams at t = 6 hours?
3. Several values for the functions f(x) and g(x) are shown in the tables. What is the value of f(g(-1))?
4. If (4 + 3i)(1 - 2i) = a + bi, then what is the value of a? (Note that )
The maximum value of the data shown in the scatterplot occurs at x = 56.25. If the data is modeled using a quadratic regression and the correlation coefficient is 1.0, then what is the y-value when x = 90?
6. If 0.2x + 1.8 = 3 - 0.6x, what is the value of x?
7. The tables above represent data points for two linear equations. If the two equations form a system, what is the x-coordinate of the solution to that system?
What value of x satisfies the equation above?
The figure above shows a fish tank with sand in the bottom. If the water level is to be 3 inches below the top, how many cubic inches of water are needed to fill the tank?
10. If g(x) = 2x3 - 5x2 + 4x + 6, and P is the point on the graph of g(x) that has an x-coordinate of 1, then what is the y-coordinate of the corresponding point on the graph of g(x - 3) + 4?
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