Find the equation of the line described, and express your answer in the specified form.Parallel to the line 5x + 7y = 54; passes through the point (8, 8); standard form
A. 8x + 7y = 54
B. 5x + 7y = 96
C. 5x - 7y = 96
D. 7x + 5y = 8
Answer: B
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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) = -2x + 6xy y'(t) = y - 9xy(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 = 0 and y = 
(b) y' = 0 along the lines y = 0 and x = 
(c) (0, 0) and 
B. (a) x' = 0 along the lines x = 0 and y = 3
(b) y' = 0 along the lines y = 0 and x = 9
(c) (0, 0) and 
C. (a) x' = 0 along the lines x = 
and y = 0
(b) y' = 0 along the lines y = 
and x = 0
(c) (0, 0) and 
D. (a) x' = 0 along the lines x = 0 and y = 3
(b) y' = 0 along the lines y = 0 and x = 9
(c) 
and 
Find an equation for the ellipse described.Center at (0, 0); focus at (2, 0); vertex at (4, 0)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Fill in the blank with one of the words or phrases listed below.
A 
can be written in the form ax + b < c, (or >, ?, ?).
A. reversed B. linear inequality in one variable C. linear equation in one variable D. formula
Provide an appropriate response.What must be true of a real number a if 
and - 
represent the same number?
A. a can be any real number B. a must be positive C. a must be equal to zero D. a must be negative