Solve the problem.The owner of a video store has determined that the profits P of the store are approximately given by 
where x is the number of videos rented daily. Find the maximum profit to the nearest dollar.
A. $450
B. $280
C. $225
D. $505
Answer: B
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Provide an appropriate response.(a) Show that 
dx = 
e-4 < 0.0092 and hence that 
dx < 0.0092.(b) Explain why this means that 
dx can be replaced by 
dx without introducing an error of magnitude greater than 0.0092.
What will be an ideal response?
Solve.A rope is 30 ft long. How can the rope be cut in such a way that the ratio of the resulting two segments is 3 to 5?
A. 10 ft and 6 ft
B. 12 ft and 18 ft
C. 
ft and 
ft
D. 
ft and 
ft
Determine the standard equation of the ellipse described.Foci at (0, 4) and (-4, 4); vertex at (-5, 4).
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Graph the function using its vertex, axis of symmetry, and intercepts.f(x) = -11x2 - 2x - 7
A. vertex 
intercept (0, 7) 
B. vertex 
intercept (0, -7)
C. vertex 
intercept (0, 7) 
D. vertex 
intercept (0, -7) 