Solve the problem.The population P of a predator mammal depends upon the number x of a smaller animal that is its primary food source. The population s of the smaller animal depends upon the amount a of a certain plant that is its primary food source. If 
and 
what is the relationship between the predator mammal and the plant food source?
A. P(s(a)) = 4a2 + 20a + 26
B. P(s(a)) = 8a2 + 20a + 51
C. P(s(a)) = 8a2 + 40a + 51
D. P(s(a)) = 4a + 6
Answer: C
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Find the exact value under the given conditions.sin ? = 
, 
< ? < ?; cos ? = 
, 0 < ? < 
Find sin (? - ?).
A. - 
B. 
C. 
D. 
Find the foci and endpoints of each axis for the given ellipse.4x2 + 16y2 = 64
A. Foci: (± 4, 0); vertices: (±2
, 0);
endpoints of the minor axis: (± 2, 0)
B. Foci: (0, ±2
); vertices: (0 , ± 4);
endpoints of the minor axis: (± 2, 0)
C. Foci: (± 12, 0); vertices: (± 16, 0);
endpoints of the minor axis: (0, ± 4)
D. Foci: (±2
, 0); vertices: (± 4, 0);
endpoints of the minor axis: (0, ± 2)
Find the constant of proportionality k, and write the linear function relating the two variables.Suppose that y varies directly with x. When x = 
, then y = 9.
A. k = 
; y = x + 
B. k = 
; y = 
x
C. k = 36; y = 36x
D. k = 
; y = 
x
Find the slope and the y-intercept from the equation of the line. Sketch a graph of the equation.2x - 5y = -25
A. m = - 
; y-intercept = 3
B. m = - 
; y-intercept = 3
C. m = - 
; y-intercept = 5
D. m = 
; y-intercept = 5