Determine whether the relation defines y as a function of x. Give the domain.5x - 10y < 3
A. Function; domain:
B. Not a function; domain:
C. Not a function; domain: (-?, ?)
D. Function; domain: (-?, ?)
Answer: C
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Factor completely.2x2 + 7x - 15
A. (2x - 5)(x + 3) B. (2x + 5)(x - 3) C. (2x - 3)(x + 5) D. (2x + 3)(x - 5)
Identify the basic feasible solution corresponding to the given simplex tableau. x1 x2 x3 x4 M
A. x1 = 8, x2 = 0, x3 = 7, x4 = 0, M = 32
B. x1 = 1, x2 = - , x3 = 0, x4 = -1, M = 0
C. x1 = 7, x2 = 0, x3 = 8, x4 = 0, M = 32
D. x1 = 0, x2 = 1, x3 = 0, x4 = 3, M = 1
Solve the problem.If a rock is thrown vertically upward from the top of a building 112 feet high with an initial velocity of 96 feet per second, the height, h, above ground level after t seconds is given by h = -16t2 + 96t + 112, where h is in feet and t is in seconds. How many seconds will it take the rock to reach its maximum height?
A. 6 sec B. 3 sec C. 7 sec D. 2 sec
Solve the problem.An experimental model for a suspension bridge is built in the shape of a parabolic arch. In one section, cable runs from the top of one tower down to the roadway, just touching it there, and up again to the top of a second tower. The towers stand 50 inches apart. At a point between the towers and 12.5 inches along the road from the base of one tower, the cable is 1.56 inches above the roadway. Find the height of the towers.
A. 5.75 in. B. 8.25 in. C. 6.25 in. D. 6.75 in.