A college theater has a seating capacity of 2000. It reserves x tickets for students and y tickets for general admission. For parts (a)-(d) write an inequality to represent the given statement. a. The total number of seats available is at most 2000. b. The college wants to reserve at least 3 times as many student tickets as general admission tickets. c. The number of student tickets cannot be negative. d. The number of general admission tickets cannot be negative. e. Graph the solution set to the system of inequalities from parts (a)-(d).
A college theater has a seating capacity of 2000. It reserves x tickets for students and y tickets for general admission. For parts (a)-(d) write an inequality to represent the given statement. a. The total number of seats available is at most 2000. b. The college wants to reserve at least 3 times as many student tickets as general admission tickets. c. The number of student tickets cannot be negative. d. The number of general admission tickets cannot be negative. e. Graph the solution set to the system of inequalities from parts (a)-(d).
Solution Summary: The author explains that the required inequality is x+yle 2000. The number of student tickets cannot be negative.
A college theater has a seating capacity of
2000.
It reserves
x
tickets for students and
y
tickets for general admission. For parts (a)-(d) write an inequality to represent the given statement.
a. The total number of seats available is at most
2000.
b. The college wants to reserve at least
3
times as many student tickets as general admission tickets.
c. The number of student tickets cannot be negative.
d. The number of general admission tickets cannot be negative.
e. Graph the solution set to the system of inequalities from parts (a)-(d).
EXAMPLE 3
Find
S
X
√√2-2x2
dx.
SOLUTION Let u = 2 - 2x². Then du =
Χ
dx =
2- 2x²
=
信
du
dx, so x dx =
du and
u-1/2 du
(2√u) + C
+ C (in terms of x).
Let g(z) =
z-i
z+i'
(a) Evaluate g(i) and g(1).
(b) Evaluate the limits
lim g(z), and lim g(z).
2-12
(c) Find the image of the real axis under g.
(d) Find the image of the upper half plane {z: Iz > 0} under the function g.
Elementary Statistics: Picturing the World (7th Edition)
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