Find the vertices of the ellipse.36(x + 2)2 + 16(y - 3)2 = 576
A. (-1, 9), (-1, -3)
B. (2, 9), (2, -3)
C. (-2, 3 - 2), (-2, 3 + 2
)
D. (-2, 9), (-2, -3)
Answer: D
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Solve.The function N(t) = , t ? 8gives the body concentration N(t), in parts per million, of a certain dosage of medication after time t, in hours.Graph the function on the interval [8, ?) and complete the following:N(t) ?
as t ? ?.
A.
N(t) ? 0 as t ? ?.
B.
N(t) ? 1 as t ? ?.
C.
N(t) ? 0.1 as t ? ?.
D.
N(t) ? 0.125 as t ? ?.
Write as the sum and/or difference of logarithms. Express powers as factors. log4
A. log4x +
log4y -
log413
B. log4xy -
log413
C. log4x +
log4y - log413
D. log4x ?
log4y ÷
log413
Determine the coordinates of the specified point.Point S
A.
B.
C.
D.
Solve the problem.A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 14 inches by 21 inches by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.
A. V(x) = x(14 - x)(21 - x) B. V(x) = x(14 - 2x)(21 - 2x) C. V(x) = (14 - x)(21 - x) D. V(x) = (14 - 2x)(21 - 2x)