For a given commodity and pure competition, the number of units produced and the price per unit are determined as the coordinates of the point of intersection of the supply and demand curves. Given the demand curve



and the supply curve


2,160

Mathematics

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Determine the vertex, focus, and directrix of the parabola and sketch its graph.y2 + 6y = 12x + 51

A. vertex: (-5, -3)
focus: (-8, -3)
directrix: x = -2

B. vertex: (-5, -3)
focus: (-2, -3)
directrix: x = -8

C. vertex: (-5, -3)
focus: (-5, 0)
directrix: y = -6

D. vertex: (-5, -3)
focus: (-5, -6)
directrix: y = 0

Mathematics

Divide.

A. 60 B. -60 C. -7 D. 7

Mathematics

Assume the functions are one-to-one. Find the requested inverse.If g(-4) = 5, find g-1(5)

A. 7 B. 5 C. -4 D. 3

Mathematics

Graph using the slope and the y-intercept.x - 3y = 9

A.

B.

C.

D.

Mathematics