Solve the problem.A biking club has increased its membership each year since its founding in 1984. The table provides membership data for several years.
Take 1985 as year zero, and determine the linear, quadratic, cubic, or quartic function that best fits the data.
A. f(x) = 0.0002x3 - 0.006x2 + 0.99x + 7.03
B. f(x) = 0.003x4 - 0.98x2 + 7.03x + 1.57
C. f(x) = 0.94x + 7.08
D. f(x) = -0.003x2 + 0.98x + 7.03
Answer: C
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Provide an appropriate response.A train holds 200 passengers and departs daily at 8:00 A.M.(a)Write the daily departure time as a function of the number of people on the train.(b)How does the departure time change as the number of people on the train increases?(c)What kind of function is this?
What will be an ideal response?
Find the vertex, focus, and directrix of the parabola. Graph the equation.x2 - 10x = 4y - 53
A. vertex: (5, 7)
focus: (4, 7)
directrix: x = 6
B. vertex: (5, 7)
focus: (5, 6)
directrix: y = 8
C. vertex: (5, 7)
focus: (5, 8)
directrix: y = 6
D. vertex: (5, 7)
focus: (6, 7)
directrix: x = 4
Factor completely.2a3 + 4a2 - 16a
A. 2a(a + 4)(a + 2) B. 2a(a - 4)(a + 2) C. 2a(a - 4)(a - 2) D. 2a(a + 4)(a - 2)
Write the number without exponents.4.5400 × 105
A. 454,000 B. 227 C. 4,540,000 D. 45,400