A telephone company offers the following plans. Also given are the piecewise functions that model these plans. Use this information to solve Exercise 95– Plan A $30 per month buys 120 minutes. Additional time costs $0.30 per minute. C ( t ) = { 30 if 30 + 0.30 ( t − 120 ) if 0 ≤ t ≤ 120 t >120 Plan B $40 per months buys 200 minutes. Additional time costs $0.30 per minute. C ( t ) = { 40 if 40 + 0.30 ( t − 120 ) if 0 ≤ t ≤ 200 t > 200 Simplify the algebraic expression in the second line of the piecewise function for plan B. Then use point-plotting to graph the function.
A telephone company offers the following plans. Also given are the piecewise functions that model these plans. Use this information to solve Exercise 95– Plan A $30 per month buys 120 minutes. Additional time costs $0.30 per minute. C ( t ) = { 30 if 30 + 0.30 ( t − 120 ) if 0 ≤ t ≤ 120 t >120 Plan B $40 per months buys 200 minutes. Additional time costs $0.30 per minute. C ( t ) = { 40 if 40 + 0.30 ( t − 120 ) if 0 ≤ t ≤ 200 t > 200 Simplify the algebraic expression in the second line of the piecewise function for plan B. Then use point-plotting to graph the function.
Solution Summary: The author explains the simplified algebraic expression in the second line of given function for plan A.
A telephone company offers the following plans. Also given are the piecewise functions that model these plans. Use this information to solve Exercise 95–
Plan A
$30 per month buys 120 minutes.
Additional time costs $0.30 per minute.
C
(
t
)
=
{
30
if
30
+
0.30
(
t
−
120
)
if
0
≤
t
≤
120
t
>120
Plan B
$40 per months buys 200 minutes.
Additional time costs $0.30 per minute.
C
(
t
)
=
{
40
if
40
+
0.30
(
t
−
120
)
if
0
≤
t
≤
200
t
> 200
Simplify the algebraic expression in the second line of the piecewise function for plan B. Then use point-plotting to graph the function.
Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.
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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