Evaluate the expression for the given values. Expression your answer as a fraction unless otherwise indicated.
x = 3, y = 4
A. 29
B. 27
C. 54
D. -3
Answer: B
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Find all solutions of the equation in the interval [0, 2?). Round the solution to four decimal places.5 tan x + 8 = 0
A. {2.1294, 5.2710} B. {2.1294} C. {4.1538, 5.2710} D. {1.0122, 4.1538}
Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function.f(x) = 3-x + 5
A. domain of f: (-?, ?); range of f:(5, ?)
horizontal asymptote: y = 5
B. domain of f: (-?, ?); range of f:(5, ?)
horizontal asymptote: y = 5
C. domain of f: (-?, ?); range of f:(3, ?)
horizontal asymptote: y = 3
D. domain of f: (-?, ?); range of f:(3, ?)
horizontal asymptote: y = 3
Solve the problem.The distance it takes to stop a car varies directly as as the square of the speed of the car. If it takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of per hour?
A. 189.62 ft B. 189.28 ft C. 162.24 ft D. 201.58 ft
Write the system of inequalities that describes the possible solutions to the problem.The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. The company can produce up to 40 rings each day, using up to 100 total man-hours of labor. It takes 2 man-hours to make one VIP ring and 5 man-hours to make one SST ring. Let x represent the number of VIP rings, and let y represent the number of SST rings. Find the system of inequalities that describes this company's ring production.
A. x + y ? 40 2x + 5y ? 100 x ? 0, y ? 0 B. x ? 40, y ? 40 5x + 2y ? 100 x ? 0, y ? 0 C. x ? 40, y ? 40 2x + 5y ? 100 x ? 0, y ? 0 D. x + y ? 40 5x + 2y ? 100 x ? 0, y ? 0