Solution manual for college algebra 11th edition by gustafson

Every natural number is a whole number, 26.. Every rational number is a real number,... Since temperatures are usually reported without fractional parts and may be eitherpositive or nega

Exercises 0.1 (page 13)

4.

3.

2.

25. Every natural number is a whole number, 26. Every rational number is a real number,

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$( )

oq ïï qp

Ð Ñ Ñ Ð

74 and , ,

, ,

oq ïï qp

Ò Ñ Ñ Ò

, ,

oq ïï qp

Ò Ó

, ,

oq ïï qp

Ð Ó

97. distanceœ )  $ œ & œ &k k k k 98. distanceœ "#  & œ "( œ "(k
k k k

99. distanceœ $  ) œ & œ &k
k k k 100 distanceœ #!  ' œ #' œ #'k k k k

natural numbers

Since theSince population must be positive and

never has a fractional part, the set of

103 Since temperatures are usually reported

without fractional parts and may be eitherpositive or negative (or zero), the set of

integers

104.

should be used

Since the financial condition of a business

is usually described in terms of dollars andcents (fractional parts of a dollar), the set of

107. The statement is always true 108 The statement is always true

109. The statement is not always true 110 The statement will be true if

and , or ifFor example, let and

111. The statement could be 112.

interpreted to mean that , when this

is not necessarily true

,  + œ " +  , œ " † +  ,+ ! ,  -

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$

%

CD

$

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m/min m/mi

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124 , , , cm/sec , , , cm mile sec min

hrmin

mi

8 œ $ œ * #(& #!! $ #  %

,,,

, mi

8 œ % œ * #(& #!! $ #  %

equatorial radius 8135 km equatorial radius

135. In the expression , the base of the 136.

exponent is , while in the expression, the base of the exponent is

$# ‚

BB

is not in scientific notation because

is not a number between 1 and 10

21.
'%"Î#Ênot a real number 22.
"#&"Î$œ
& $ "Î$‘ œ &

23.
"'+#"Î#œ
%+ # "Î#‘ œ % +k k 24.
#&+%"Î#œ’
&+# #“"Î#œ & + œ &+k k# #

25.
"'+%"Î%œ’
#+ %“"Î%œ # +k k 26.
'%+$"Î$œ
%+$‘"Î$œ %+

27.
$#+&"Î&œ
#+&‘"Î&œ #+ 28.
'%+'"Î'œ
#+ '‘"Î'œ # +k k

29.
#"','"Î$œ’
',#$“"Î$œ ',# 30.
#&'>)"Î%œ’
%># %“"Î%œ % > œ %>k k# #

55
B C"! &$Î&œ B$!Î& "&Î&C œ B C' $

56
'%+ ,' "#&Î'œ '%&Î' $!Î' '!Î'+ , œ '%ˆ "Î'‰&+ ,& "!œ # + ,& & "!œ $#+ ,& "!

67. È$ "#& œÈ$ & œ &$ 68. È$ '% œÉ
$ % $œ %

69. È$ "#& œÉ$
& $œ & 70. È& #%$ œÉ&
$ &œ $

,

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†œ

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C

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#

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BB

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#

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CC

CC

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8

128 Consider the case when is even, is odd and is negative Then

Thus, must be a real number fo

9. coefficients, variables 10. $ÈB  # 11. yes, trinomial, 2nd degree

12. yes, binomial, 3rd degree 13. no 14. no

15. yes, binomial, 3rd degree 16. yes, monomial, 5th degree 17. yes, monomial, 0th degree

18. no 19. yes, monomial, no degree 20. yes, none, 3rd degree

21
B  $B  &B  )B œ B  $B  &B  )B œ B  &B  $B  )B œ 'B  $B  )B$ #
$  $ # $ $ $ # $ #

È% $ $"Î% $"Î% È% $ È% $ È% $ È% % È% "# È% "#

È# #"Î# ##Î% È%

## È% % È% % È% % È% "' #

&  # œ &  #† &  # œ œ œ œ &  #

105. &B C  "&B C &B C "&B C 106. *7 8  '7 8 *7 8 '7 8

 #BB

122 'B  ""B  "!

'B  B  "# $'B  (#B  "#"B  "%#B  "#!

$'B  'B  (#B''B  %*B  "%#B''B  ""B  "$#B

123 Areaœlength width† œ B  & B  #

 ft#œ B  #B  &B  "!
#  ft#œ B  $B  "!
#  ft#

heightheightheightheight

129 Answers may vary.

130 Multiply the numeratior and denominator by the conjugate of the numerator ˆÈB  #‰

131 Check the formula with + œ " and , œ # 132 Check the formula with + œ $ and , œ %

133 *$Î#œ *ˆ "Î#‰$œ $ œ #($