Factor completely, or state that the polynomial is prime. Assume any variable exponents represent whole numbers.2a3c2 - 162ax2y2
A. 2a(ac + 81xy)(ac - 81xy)
B. 2a(c + 9xy)(c - 9xy)
C. 2a(ac + 9xy)(ac - 9xy)
D. prime
Answer: C
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Solve.A rectangle that is x feet wide is inscribed in a circle of radius 20 feet. Express the area of the rectangle as a function of x. Graph the function and from the graph determine the value of x, to the nearest tenth of a foot, which will maximize the area of the rectangle.
A. 27.9 feet B. 28.3 feet C. 29.1 feet D. 28.7 feet
Provide an appropriate response.If f(x) = e(4x+1)2, then f'(x) =
A. e8(4x+1) . B. e2(4x+1) . C. 8(4x + 1)e(4x+1)2. D. 2(4x + 1)e(4x+1)2. E. (4x + 1)e(4x+1)2 - 1.
Solve the three-part linear inequality. Graph the solution set on a number line, and express the solution using interval notation.- 
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Find the x- and y-intercepts of f.f(x) = (x - 2)2(x2 - 16)
A. x-intercepts: 2, 16; y-intercept: 32 B. x-intercepts: -4, 2, 4; y-intercept: 64 C. x-intercepts: -2, -16; y-intercept: 32 D. x-intercepts: -4, 2, 4; y-intercept: -64