Between 1989 and 1998, the population of Smalltown, USA (in thousands) can be mo

Question

Between 1989 and 1998, the population of Smalltown, USA (in thousands) can be modeled by f(x) = 0.24x^2 -2.88x +11.6, where x = 0 represents 1989. Based on this model, in what year did the Population of Smalltown reach its minimum? 1996 1994 1997 1995 Midtown Delivery Service delivers packages which cost $1.90 per package to deliver. The fixed cost to run delivery truck is 565 per day If the company charges $6.90 per package, how many packages must be delivered daily to break even? 11 packages 6 packages 7 packages 28 packages Find the requested value. Find (f + g)(4) when f(x) = x + 2 and g(x) = x - 3 9 13 7 3 For the complex number state the real part, the imaginary part and identify the number as real pure imaginary, or nonreal complex. -7 - 3i A)Real part: -7, -3; Imaginary part: 1; Nonreal complex B) Real part: -7; imaginary part: -3; Nonreal complex C) Real part; 0: Imaginary part: -7, -3; Nonreal complex D) Real part: -7, -3; Imaginary part: 0; Real Find the conjugate of the number. 9 + 2i - + 2i 2 + 9i -2i 9 - 2i

Explanation / Answer

33) Conjugate number = 9-2i

32) B

31)f+g = 2x-1

So(f+g)(4) = 8-1 = 7

29)Minimum when df/dx = 0 So 0.48x = 2.88 implies x = 6

So 6 years from 1989

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