The sales of various types of lawn and garden tools vary according to the season. At a certain home improvement store, the monthly sales H of garden hoes (hoes sold per month) decline from July to October whereas the monthly sales of lawn rakes R (rakes sold per month) increase during this same interval. The sales of these two items during the calendar months July-October are modeled by the equations:
?
?
where t is the month (t = 7 corresponds to July). In which month does the number of rakes sold equal the number of hoes sold?
?
A. September
B. July
C. November
D. October
E. August
Answer: A
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A. Not quadratic. B. Quadratic.
Provide an appropriate response.Define f(0, 0) in such a way that extends f(x, y) = to be continuous at the origin.
A. f(0, 0) = 2 B. f(0, 0) = 10 C. f(0, 0) = 5 D. f(0, 0) = 0
Solve the problem.The motion of a spring-mass system is described by the equation where y is the distance in feet from the equilibrium position and t is time in seconds. If the weight is 18 feet from the ceiling in a state of equilibrium, find the time at which the weight first passes the equilibrium position.
A. sec
B. 4 sec
C. sec
D. 1 sec
Multiply.(8i)(9i)
A. 17 B. 72 C. -17 D. -72