The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table. Find a lower estimate for the distance that she traveled during these three seconds.


18.25

Mathematics

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Sketch the graph of f(x). Determine the domain, range, and the equation of the horizontal asymptote of the function.f(x) = 6 - e-x

A. Domain: (-?, ?), range: (-?, 6)
Horizontal asymptote: y = 6

B. Domain: (-?, ?), range: (-?, 6)
Horizontal asymptote: y = 6

C. Domain: (-?, ?), range: (6, ?)
Horizontal asymptote: y = 6

D. Domain: (-?, ?), range: (6, ?)
Horizontal asymptote: y = 6

Mathematics

Solve the inequalities

Mathematics

Find the asymptotes of the hyperbola.36x2 - y2 = 1764

A. y = 6x and y = -6x
B. y = x and y = - x
C. y = x and y = - x
D. y = 36x and y = -36x

Mathematics

Find the requested probability.A child rolls a 6-sided die 6 times. What is the probability of the child rolling exactly two fours?

A. .0621 B. .5681 C. .2009 D. .7182

Mathematics