Factor the sum or difference of two cubes completely.x3 + 64
A. (x + 4)(x2 + 16)
B. (x - 4)(x2 + 4x + 16)
C. (x + 4)(x2 - 4x + 16)
D. (x - 64)(x + 1)(x - 1)
Answer: C
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Solve the problem.Melissa invested a sum of money at 3% annual interest. She invested three times that sum at 5% annual interest. If her total yearly interest from both investments was $5400, how much was invested at 3%?
A. $30,000 B. $67,500 C. $22,500 D. $202,500
Use the method of variation of parameters to solve the differential equation.3
+ 140
+ 225y = -10e3x
A. y = C1e-45x + C2e-5x/3 + 
e3x
B. y = C1e-45x + C2e-5x/3 - 
e3x
C. y = C1e-45x + C2e-5x/3 - 
e3x
D. y = C1e-45x + C2e5x/3 - 
e3x
Use the bar graph to answer the question.The bar graph illustrates the number of minutes of cell phone usage during selected months. How many minutes were used during the month of February?
A. 31 B. 14 C. 35 D. 21
x? = x(0.6 ? 0.01x ? 0.015y) , y? = y (0.009 ? 0.001x ? 0.003y)
Let x and y represent the populations (in thousands) of two species that share a habitat. For each system of equations, find and assess the stability of the equilibrium points. Remember that, for real populations, both x0 and y0 must be nonnegative for ( x0 , y0) to be an equilibrium point.