Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime.8x2y2 + 10xy2 - 25y2
A. (4x - 5y)(2x + 5y)
B. y2(4x - 5)(2x + 5)
C. y2(x - 5)(8x + 5)
D. (2x - 5y)(4x + 5y)
Answer: B
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Solve.The population growth of an animal species is described by F(t) = 600 + 70 log3(2t + 1) where t is measured in months. Find the population of this species in an area 40 month(s) after the species is introduced.
A. 6270 B. 3155 C. 450 D. 880
If f(x,y) = x² + 9y², use the gradient vector ?f(10, 2) to find the tangent line to the level curve f(x, y) = 136 at the point (10, 2). Select the correct answer.
Represent the linear system as an augmented matrix. 6x + 4y = 60 9x + 3y = 81
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Solve the problem.Data regarding the amount spent by a government department is represented in the following graph. Find the change in amount spent for the years shown in the graph. Is the graph a straight line?
A. Change for each year: $0.18 billion; yes B. Change for each year: $0.72 billion; yes C. Change from 1998 to 1999: $0.72 billion, change from 1999 to 2000: $0.18 billion; no D. Change for each year: $0.38 billion; yes