For the supply equation, where x represents the quantity supplied in units of 1,000 and p is the unit price in dollars, determine the number of units of the commodity the supplier will make available in the market at the given unit price. Please round your answer to the nearest unit.
3x - 4p + 24 = 0; p = 8
a. 2,967
b. 2,667
c. 2,567
d. 3,167
b. 2,667
Mathematics
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Graph the function.g(x) = -x(x + 1)2(x - 2)2
A. 
B. 
C. 
D. 
Mathematics
Find the volume of the shaded solid. Round your answer to 2 decimal places if necessary. Use ? = 3.14 when necessary.
A. 125,600 ft3 B. 510,250 ft3 C. 31,400 ft3 D. 628 ft3
Mathematics
Graph the function. Use the graph to find any relative maxima or minima.f(x) = -x2 + 6x - 7
A. Relative maximum of 2 at x = 3 B. Relative minimum of 2 at x = 3 C. No relative extrema D. Relative maximum of 3 at x = 2
Mathematics
Graph the indicated new function, given the graph for y = f(x).y = f(ax), where a satisfies 0 < a < 1
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B. 
C. 
D. 
Mathematics