For the following exercises, a hedge is to be constructed in the shape of a hyperbola near a fountain at the center of the yard. Find the equation of the hyperbola and sketch the graph. 65. The hedge will follow the asymptotes y = 3 4 x and y = − 3 4 x and its closest distance to the center fountain is 20 yards.
For the following exercises, a hedge is to be constructed in the shape of a hyperbola near a fountain at the center of the yard. Find the equation of the hyperbola and sketch the graph. 65. The hedge will follow the asymptotes y = 3 4 x and y = − 3 4 x and its closest distance to the center fountain is 20 yards.
For the following exercises, a hedge is to be constructed in the shape of a hyperbola near a fountain at the center of the yard. Find the equation of the hyperbola and sketch the graph.
65. The hedge will follow the asymptotes
y
=
3
4
x
and
y
=
−
3
4
x
and its closest distance to the center fountain is 20 yards.
Amy and Samiha have a hat that contains two playing cards, one ace and one king. They are playing a game where they randomly pick a card out of the hat four times, with replacement.
Amy thinks that the probability of getting exactly two aces in four picks is equal to the probability of not getting exactly two aces in four picks. Samiha disagrees. She thinks that the probability of not getting exactly two aces is greater.
The sample space of possible outcomes is listed below. A represents an ace, and K represents a king. Who is correct?
Consider the exponential function f(x) = 12x. Complete the sentences about the key features of the graph.
The domain is all real numbers.
The range is y> 0.
The equation of the asymptote is y = 0
The y-intercept is 1
The graph shows Alex's distance from home after biking for x hours. What is the average rate of change from -1 to 1 for the function?
4-2
о A. -2
О B. 2
О
C. 1
O
D. -1
ty
6
4
2
2
0
X
2
4
University Calculus: Early Transcendentals (4th Edition)
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