Use the graph to solve the problem.The graph shows the relationship between the area A of a rectangle and the length L, if the width is fixed. Find the area if the length is 5 cm.

A. 45 cm2
B. 75 cm2
C. 15 cm2
D. 30 cm2


Answer: B

Mathematics

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Find the local extrema of the function, if they exist.s(x) = -x2 - 18x + 63

A. Local maximum at (-18, 63) B. Local minimum at (18, 63) C. Local maximum at (-9, 144) D. Local maximum at (9, 144)

Mathematics

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 closest the weight will ever be to the ceiling.

A. 13 ft B. 18 ft C. 5 ft D. 23 ft

Mathematics

Fill in the blank with one of the words or phrases listed below.Equations that have the same solution are called .

A. reversed B. equivalent equations C. all real numbers D. the same

Mathematics

Write an equation that expresses the relationship. Use k for the constant of proportionality.q varies directly as r and inversely as s.

A. q = 
B. qrs = k
C. q = 
D. q + r - s = k

Mathematics