Solve.The distance that an object falls when it is dropped is directly proportional to the square of the amount of time since it was dropped. An object falls 128 feet in 2 seconds. Find the distance the object falls in 3 seconds.
A. 6 feet
B. 288 feet
C. 96 feet
D. 192 feet
Answer: B
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Find the equation of the parabola which has the given vertex V, which passes through the given point P, and which has the specified axis of symmetry.V (1, -2), P(21, -4), horizontal axis of symmetry
A. (x - 1)2 = (y + 2)
B. (x + 1)2 = (y - 2)
C. (y + 2)2 = (x - 1)
D. (y - 1)2 = (x + 2)
Solve the problem.The parabola x2 = -28y is shifted 3 units up and 6 units to the right. Find the focus and directrix of the new parabola.
A. Focus: (-4, 6); Directrix: x = 10 B. Focus: (6, -4); Directrix: y = -10 C. Focus: (6, 10); Directrix: y = 10 D. Focus: (6, -4); Directrix: y = 10
Solve the problem.The sales of a mature product (one which has passed its peak) will decline by the function S(t)= Soe-at, where t is time in years. Find the sales after 18 years if and
(Round to the nearest whole number.)
A. 67,355 B. 2,059,009 C. 1822 D. 911
Provide an appropriate response.Is it possible to factor the expression 9x4(y + 3) + 8(y + 3)? If so, factor it.
A. Yes: 9x4(y + 11) B. No C. Yes: (y + 3)(9x4 + 8) D. Yes: 9x4(y + 3) + 8