For Exercises 59–64, (See Example 9) a. Determine if the upper bound theorem identifies the given number as an upper bound for the real zeros of f ( x ) . b. Determine if the lower bound theorem identifies the given number as a lower bound for the real zeros of f ( x ) . f ( x ) = 6 x 3 − x 2 − 57 x + 70 a. 4 b. − 4
For Exercises 59–64, (See Example 9) a. Determine if the upper bound theorem identifies the given number as an upper bound for the real zeros of f ( x ) . b. Determine if the lower bound theorem identifies the given number as a lower bound for the real zeros of f ( x ) . f ( x ) = 6 x 3 − x 2 − 57 x + 70 a. 4 b. − 4
Solution Summary: The author calculates whether 4 is an upper bound for the real zeros of f(x)=6x
Evaluate the following expression and show your work to support your calculations.
a). 6!
b).
4!
3!0!
7!
c).
5!2!
d). 5!2!
e).
n!
(n - 1)!
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
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