The cost to buy tickets online for a dance show in $60 per ticket. a. Write a function that represents the cost C ( x ) ( in $ ) for x tickets to the show. b. There is a sales tax of 5.5% and a processing fee of $8.00 for a group of tickets. Write a function that represents the total cost T ( a ) for a dollars spent on tickets. c. Find ( T ∘ C ) ( x ) d. Find ( T ∘ C ) ( 6 ) and interpret its meaning in the context of this problem.
The cost to buy tickets online for a dance show in $60 per ticket. a. Write a function that represents the cost C ( x ) ( in $ ) for x tickets to the show. b. There is a sales tax of 5.5% and a processing fee of $8.00 for a group of tickets. Write a function that represents the total cost T ( a ) for a dollars spent on tickets. c. Find ( T ∘ C ) ( x ) d. Find ( T ∘ C ) ( 6 ) and interpret its meaning in the context of this problem.
Solution Summary: The author explains how to determine a function representing the cost of x tickets to the show, based on the provided cost for per ticket.
The cost to buy tickets online for a dance show in $60 per ticket.
a. Write a function that represents the cost
C
(
x
)
(
in
$
)
for x tickets to the show.
b. There is a sales tax of 5.5% and a processing fee of $8.00 for a group of tickets. Write a function that represents the total cost
T
(
a
)
for a dollars spent on tickets.
c. Find
(
T
∘
C
)
(
x
)
d. Find
(
T
∘
C
)
(
6
)
and interpret its meaning in the context of this problem.
Q1lal Let X be an arbitrary infinite set and let r the family of all subsets
F of X which do not contain a particular point x, EX and the
complements F of all finite subsets F of X show that (X.r) is a topology.
bl The nbhd system N(x) at x in a topological space X has the following
properties
NO- N(x) for any xX
N1- If N EN(x) then x€N
N2- If NEN(x), NCM then MeN(x)
N3- If NEN(x), MEN(x) then NOMEN(x)
N4- If N = N(x) then 3M = N(x) such that MCN then MeN(y) for any
уем
Show that there exist a unique topology τ on X.
Q2\a\let (X,r) be the topology space and BST show that ẞ is base for a
topology on X iff for any G open set xEG then there exist A Eẞ such
that x E ACG.
b\Let ẞ is a collection of open sets in X show that is base for a
topology on X iff for each xex the collection B, (BEB\xEB) is is a
nbhd base at x.
-
Q31 Choose only two:
al Let A be a subspace of a space X show that FCA is closed iff
F KOA, K is closed set in X.
الرياضيات
b\ Let X and Y be two topological space and f:X -…
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