Solve.A rocket is launched from the top of a cliff that is 112 feet high with an initial velocity of 112 feet per second. The height, h(t), of the rocket after t seconds is given by the equation
How long after the rocket is launched will it strike the ground? Round to the nearest tenth of a second, if necessary.
A. 7.9 sec
B. 8.7 sec
C. 9.3 sec
D. 8.3 sec
Answer: A
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Find the points of intersection of the graphs of the functions. Express your answers accurate to five decimal places. Select the correct answer.
Graph the function.f(x) =
A.
B.
C.
D.
Add and subtract as indicated. Simplify and leave the numerator and denominator in your answer in factored form. +
A.
B.
C.
D.
Find the equation that the given graph represents and give the domain, range, and interval(s) over which the function is increasing and decreasing.
A. P(x) = -x6 + 7x5 - x2 - 2x + 16; domain: (-?, ?); range: (-?, ?); Increasing over [-1.63, 0] and [1.41, 2.17]; Decreasing over (-?, -1.63] and [0, 1.41] and [2.17, ?) B. P(x) = x5 + 7x4 - x3 - 40x2 + 2x + 16; domain: (-?, ?); range: (-?, ?); Increasing over [-1.78, 0] and [1.81, 3.67]; Decreasing over (-?, -1.78] and [0, 1.81] and [3.67, ?) C. P(x) = -2x5 + 7x4 + 9x3 - 40x2 + 4x + 16; domain: (-?, ?); range: (-?, ?); Increasing over [-1.71, 0] and [1.81, 2.67]; Decreasing over (-?, -1.71] and [0, 1.81] and [2.67, ?) D. P(x) = 2x6 + 9x3 - 7x2 + 4x - 16; domain: (-?, ?); range: (-?, ?); Increasing over [-.51, 0] and [1.11, 1.63]; Decreasing over (-?, -.51] and [0, 1.11] and [1.63, ?)