
Concept explainers
a
To write an expression for Alicia’s time with the wind
a

Answer to Problem 10CYU
Anexpression for Alicia’s time with the windis
Explanation of Solution
Given information :
Alicia’s average speed riding her bikes is 11.5 miles per hours and she take round trip of 40 miles. She takes 1 hours and 20 minutes with the wind and 2 hours 30 minutes against the wind.
Let the speed of the windbe
Therefore, when Alicia travels with the wind, her speed will become
Therefore the round trip is 40 miles long so each way is
Therefore, an expression for Alicia’s time with the wind is
Hence, the An expression for Alicia’s time with the windis
b
To write an expression for Alicia’s time against the wind
b

Answer to Problem 10CYU
An expression for Alicia’s time against the windis
Explanation of Solution
Given information :
Alicia’s average speed riding her bikes is 11.5 miles per hours and she take round trip of 40 miles. She takes 1 hours and 20 minutes with the wind and 2 hours 30 minutes against the wind.
Let the speed of the wind be
Therefore, the round trip is 40 miles long so each way is
Therefore, an expression for Alicia’s time against the wind is
Hence, an expression for Alicia’s time against the windis
c
To find the total time to take to complete the trip.
c

Answer to Problem 10CYU
The total time to take to complete the trip is 3 hours 50 minutes
Explanation of Solution
Given information :
Alicia’s average speed riding her bikes is 11.5 miles per hours and she take round trip of 40 miles. She takes 1 hours and 20 minutes with the wind and 2 hours 30 minutes against the wind.
Let the speed of the wind be
Alicia travels with the wind is 1 hours 20 minutes
Alicia travels against the wind is 2 hours 30 minutes
Therefore, the total time can be obtained as
1 hours 20 minutes
Hence, the total time to take to complete the trip is 3 hours 50 minutes
d
To write and solve the rational equation to determine the speed of the wind..
d

Answer to Problem 10CYU
The speed of the wind is 3.5 miles per hours.
Explanation of Solution
Given information :
Alicia’s average speed riding her bikes is 11.5 miles per hours and she take round trip of 40 miles. She takes 1 hours and 20 minutes with the wind and 2 hours 30 minutes against the wind.
Let the speed of the wind be
Alicia’s time against the windis
Alicia’s time with the windis
The total time to take to complete the trip is 3 hours 50 minutes, which is equal to
Therefore, the equation obtained as
So, the solution of the rational equation to determine the speed of the wind is
Hence, the speed of the wind is 3.5 miles per hours.
Chapter 9 Solutions
Algebra 2
Additional Math Textbook Solutions
College Algebra with Modeling & Visualization (5th Edition)
Pre-Algebra Student Edition
Introductory Statistics
Elementary Statistics (13th Edition)
Calculus: Early Transcendentals (2nd Edition)
Elementary Statistics: Picturing the World (7th Edition)
- Consider the following equation. log1/9' =6 Find the value of x. Round your answer to the nearest thousandth. x = ✓arrow_forwardExpanding a logarithmic expression: Problem type 3 Use the properties of logarithms to expand the following expression. 4(8+x)² log 5 ) Your answer should not have radicals or exponents. You may assume that all variables are positive. log 4(8 + X 5 -x)²arrow_forwardUse the properties of logarithms to expand the following expression. log 6(x+5)² 3/24 Your answer should not have radicals or exponents. You may assume that all variables are positive. log 6(x + 3 I 4 5)² log Xarrow_forward
- Done וון Exponential and Logarithmic Functions Expanding a logarithmic expression: Problem type 2 www-awy.aleks.com Use the properties of logarithms to expand the following expression. 3 log yz 5 x 0/3 Anthony Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume that all variables are positive. log yz x 5 3 = Explanation Check log Español Aa ☑ © ZUZI MILOT AW MIII LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibilityarrow_forwardExpanding a logarithmic expression: Problem type 2 Use the properties of logarithms to expand the following expression. 3 yz log 5 x 0/3 An Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume that all variables are positive. log yz 3 厚 5 Explanation Check log ☑ 2025 MG ¿W MIII LLC. All Rights Reserved. Terms of Use | Privacy Centerarrow_forwardExpanding a logarithmic expression: Problem type 2 Use the properties of logarithms to expand the following expression. 3 yz log 5 x 0/3 An Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume that all variables are positive. log yz 3 厚 5 Explanation Check log ☑ 2025 MG ¿W MIII LLC. All Rights Reserved. Terms of Use | Privacy Centerarrow_forward
- What is the domain and range, thank you !!arrow_forwardAssume a bivariate patch p(u, v) over the unit square [0, 1]² that is given as a tensor product patch where u-sections (u fixed to some constant û; v varying across [0, 1]) are quadratic polynomials Pu:û(v) = p(û, v) while v-sections are lines pv:ô (u) = p(u, v). The boundary lines pv:o(u) and pv:1 (u) are specified by their end points p(0,0) 0.8 and p(1,0) 0.2 as well as p(0, 1) 0.3 and p(1, 1) = 0.8. The boundary quadratics pu:o(v) and pu:1 (v) interpolate p(0,0.5) = 0.1 and p(1, 0.5) = 0.9 in addition to the above given four corner-values. = = = Use Pu:û(v) = (1, v, v² ) Mq (Pu:û(0), Pu:û (0.5), Pu:û(1)) with Ma = 1 0 0 -3 4-1 2 4 2 (Pv:ô as well as pu: (u) = (1, u) M₁ (pv:v (0), P: (1)) with M₁ = = (19) 0 to formulate p(u, v) using the "geometric input" G with G = = (P(0,0%) p(0,0) p(0,0.5) p(0,1) ) = ( 0.39 0.8 0.1 0.3 0.2 0.9 0.8 p(1,0) p(1, 0.5) p(1, 1) See the figure below for (left) a selection of iso-lines of p(u, v) and (right) a 3D rendering of p(u, v) as a height surface…arrow_forwardO Functions Composition of two functions: Domain and... Two functions ƒ and g are defined in the figure below. 76 2 8 5 7 8 19 8 9 Domain of f Range of f Domain of g Range of g 3/5 Anthony Find the domain and range of the composition g.f. Write your answers in set notation. (a) Domain of gof: ☐ (b) Range of gof: ☐ Х Explanation Check 0,0,... Español لكا ©2025 McGraw Hill LLC. All Rights Reserved Torms of lico Privacy Contor Accessibility.arrow_forward
- Two functions ƒ and g are defined in the figure below. g 6 6 7 8 8 8 9 Domain of f Range of f Domain of g Range of g Find the domain and range of the composition g.f. Write your answers in set notation. (a) Domain of gof: (b) Range of gof: ☐ ☑ 0,0,...arrow_forwardDone Oli ○ Functions Composition of two functions: Domain and range Two functions 0 g 3 4 6 www-awy.aleks.com g and ƒ are defined in the figure below. 8 8 9 Domain of g Range of g Domain of f Range of f 0/5 Anthony Find the domain and range of the composition f.g. Write your answers in set notation. (a) Domain of fog: ☐ (b) Range of fog: ☐ Х Explanation Check 0,0,... Español © 2025 McGraw HillLLC. AIL Rights Reserved Terms of Use | Privacy Center Accessibilityarrow_forwardUse the graph of the function y = g(x) below to answer the questions. y' -5 -4 4- 3- 27 -2 -3+ -4 x 4 (a) Is g(-2) negative? Yes No (b) For which value(s) of x is g(x) > 0? Write your answer using interval notation. ☐ (c) For which value(s) of x is g(x) = 0? If there is more than one value, separate them with commas. 0,0... (0,0) (0,0) (0,0) (0,0) OVO 0arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





