For the given functions f and g, find the requested function or functional value.f(x) = 8x2 - 5x,g(x) = x2 - 2x - 15Find 
.
A. 
B. 
C. 
D. 
Answer: C
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Animal type A and animal Type B compete for the same resources. Suppose there are a animals of type A and b animals of type B. Both a and b are measured in thousands. Then the growth rates of the two types of animals are given by
Growth rate for Type A: 
Growth rate for Type B: 
A: Equilibrium occurs when both growth rates are 0. Find two expressions of ?b in terms of ?a when equilibrium occurs. Round your answers to two decimal places, if necessary.B: Plot the graphs of ?b versus ?a for both the expressions you found in part A. Be sure your graph shows the crossing point.C: How many of each type of animal is present when equilibrium occurs? Round your answers to two decimal places, if necessary.
What will be an ideal response?
Solve the problem. Round your answer, if appropriate.The volume of a rectangular box with a square base remains constant at 200 cm3 as the area of the base increases at a rate of 5 
2/sec. Find the rate at which the height of the box is decreasing when each side of the base is 18 cm long. (Do not round your answer.)
A. 
cm/sec
B. 
cm/sec
C. 
cm/sec
D. 
cm/sec
Find the equation of a circle satisfying the given conditions.Center: (0, -9); radius: 
A. x2 + (y - 9)2 = 13 B. (x + 9)2 + y2 = 169 C. (x - 9)2 + y2 = 169 D. x2 + (y + 9)2 = 13
Solve the exponential equation. For irrational solutions, round to four decimal places.e4x = 7
A. {0.4865} B. {4.7570} C. {0.1980} D. {7.7836}