Solve the problem.The graph shows the sales of a particular brand of appliance from 1992 to 2010, where 1992 corresponds to 
. Two of the data points in the graph can be represented by the ordered pairs 
and 
Use these ordered pairs to write an equation of a line that models the data. Give the equation in slope-intercept form. 
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A. y = 130x + 3800
B. y = 380x + 3800
C. y = 380x + 4710
D. y = 130x + 4710
Answer: A
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Solve the problem.Consider the pair of differential equations that model a predator-prey system with populations x and y. x'(t) = -5x + xy y'(t) = 3y - xy(a) Find the lines along which x'(t) = 0,(b) find the lines along which y'(t) = 0,(c) find the equilibrium points for the system.
A. (a) x' = 0 along the lines x = 5 and y = 0
(b) y' = 0 along the lines y = 3 and x = 0
(c) (0, 0) and (5, 3)
B. (a) x' = 0 along the lines x = 0 and y = 
(b) y' = 0 along the lines y = 0 and x = 
(c) (0, 0) and 
C. (a) x' = 0 along the lines x = 0 and y = 5
(b) y' = 0 along the lines y = 0 and x = 3
(c) (0, 0) and (3, 5)
D. (a) x' = 0 along the lines x = 
and y = 0
(b) y' = 0 along the lines y = 
and x = 0
(c) (0, 0) and 
Find (a) the opposite and (b) the absolute value of the number.14.7
A. (a) -14.7 (b) -14.7 B. (a) -14.7 (b) 14.7 C. (a) 14.7 (b) -14.7 D. (a) 14.7 (b) 14.7
Use the ratio test to determine if the series converges or diverges.
A. Converges B. Diverges
Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.Use the Principle of Mathematical Induction to show that the statement "5 is a factor of 7n - 2n" is true for all natural numbers. (Hint: 
What will be an ideal response?