A telephone company offers the following plans . Also given are the piecewise functions that model these plans. Use this information to solve Exercises 95-96. Plan A . 530 per month buys 120 minutes. • Additional time costs SO.30 per minute. C ( t ) = { 30 if 0 ≤ t ≤ 120 30 + 0.30 ( t − 120 ) if t > 120 Plan B • $40 per month buys 200 minutes. • Additional time costs $0.30per minute. C ( t ) = { 40 if 0 ≤ t ≤ 200 40 + 0.30 ( t − 200 ) if t > 200 Simplify the algebraic expression in the second line of the piecewise function for plan A. 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 Exercises 95-96. Plan A . 530 per month buys 120 minutes. • Additional time costs SO.30 per minute. C ( t ) = { 30 if 0 ≤ t ≤ 120 30 + 0.30 ( t − 120 ) if t > 120 Plan B • $40 per month buys 200 minutes. • Additional time costs $0.30per minute. C ( t ) = { 40 if 0 ≤ t ≤ 200 40 + 0.30 ( t − 200 ) if t > 200 Simplify the algebraic expression in the second line of the piecewise function for plan A. Then use point-plotting to graph the function.
Solution Summary: The author explains the simplified algebraic expression in the second line of function C(t)=l30,if 0le t
A telephone company offers the following plans. Also givenare the piecewise functions that model these plans. Use this information to solve Exercises 95-96.
Plan A.530 per month buys 120 minutes.
• Additional time costs SO.30 per minute.
C
(
t
)
=
{
30
if
0
≤
t
≤
120
30
+
0.30
(
t
−
120
)
if
t
>
120
Plan B
•$40 per month buys 200 minutes.
• Additional time costs $0.30per minute.
C
(
t
)
=
{
40
if
0
≤
t
≤
200
40
+
0.30
(
t
−
200
)
if
t
>
200
Simplify the algebraic expression in the second line of the piecewise function for plan A. 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.
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Things Quadratics! Part 1 X
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The table below shows the acreage, number of visitors, and total revenue of state parks and recreational areas in Massachusetts, New York, and Vermont in 2010.
State Acreage (in thousands) Visitors (in thousands) Revenue (in thousands)
Massachusetts 350 35,271 $12,644
New York 1,354 56,322 $85,558
Vermont 69 758 $10,969
Select the three true statements based on the data in the table.
A.
Vermont had the highest revenue per acre of state parks and recreational areas.
B.
Vermont had approximately 11 visitors per acre of state parks and recreational areas.
C.
New York had the highest number of visitors per acre of state parks and recreational areas.
D.
Massachusetts had approximately 36 visitors per acre of state parks and recreational areas.
E.
New York had revenue of approximately $63.19 per acre of state parks and recreational areas.
F.
Massachusetts had revenue of approximately $0.03 per acre of state parks and recreational areas.
a) show that the empty set and sigletonset
are convex set.
6) show that every sub space of linear space X
is convex but the convers heed not be true.
c) let Mand N be two convex set of
a linear Space X and KEF
Show that MUN is conevex and
(ii)
M-N is convex or hot
A
and is MSN or NSM show that
MUN convex or not,
385
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