
Concept explainers
a.
To write: An expression for the distance they will be from Houston in x hours.
a.

Answer to Problem 31E
An expression for the distance is
Explanation of Solution
Given information: They are 700 miles from Houston, they are 400 miles from home and they are travelling at an average speed of 60 miles per hours.
Total distance between Houston and the home is
Hence, an expression for the distance is
b.
To write: An expression for the distance they will be from home in x hours.
b.

Answer to Problem 31E
The distance from home in x is
Explanation of Solution
Given information: They are 700 miles from Houston, they are 400 miles from home and they are travelling at an average speed of 60 miles per hours.
The speed is 60mph and therefore the distance travelled or distance from home in x is
Hence, the distance from home in x is
c.
To use: The expression from part(a) and (b)and solve an equation to find the number of hours.
c.

Answer to Problem 31E
The number of hours is
Explanation of Solution
Given information: They are 700 miles from Houston, they are 400 miles from home and they are travelling at an average speed of 60 miles per hours.
Therefore the number of hours to drive until exactly halfway between Houston and home is:
Rearrange :
Hence, the number of hours is
d.
To find: They drive before they are exactly halfway between Houston and their home.
d.

Answer to Problem 31E
Explanation of Solution
Given information: They are 700 miles from Houston, they are 400 miles from home, they are travelling at an average speed of 60 miles per hours and they travel the 700 miles at a speed of 45 miles per hours.
Halfway between the house and Houston is 550 miles from the house. they first 400 miles are travelled at a speed of 60mph which took
Chapter 3 Solutions
ELEMENTARY+INTERMEDIATE ALGEBRA
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition
Pre-Algebra Student Edition
Elementary Statistics
Elementary Statistics (13th Edition)
Introductory Statistics
College Algebra (7th Edition)
- Practice k Help ises A 96 Anewer The probability that you get a sum of at least 10 is Determine the number of ways that the specified event can occur when two number cubes are rolled. 1. Getting a sum of 9 or 10 3. Getting a sum less than 5 2. Getting a sum of 6 or 7 4. Getting a sum that is odd Tell whether you would use the addition principle or the multiplication principle to determine the total number of possible outcomes for the situation described. 5. Rolling three number cubes 6. Getting a sum of 10 or 12 after rolling three number cubes A set of playing cards contains four groups of cards designated by color (black, red, yellow, and green) with cards numbered from 1 to 14 in each group. Determine the number of ways that the specified event can occur when a card is drawn from the set. 7. Drawing a 13 or 14 9. Drawing a number less than 4 8. Drawing a yellow or green card 10. Drawing a black, red, or green car The spinner is divided into equal parts. Find the specified…arrow_forwardAnswer the questionsarrow_forwardHow can I prepare for me Unit 3 test in algebra 1? I am in 9th grade.arrow_forward
- Asked this question and got a wrong answer previously: Third, show that v3 = (−√3, −3, 3)⊤ is an eigenvector of M3 . Also here find the correspondingeigenvalue λ3 . Just from looking at M3 and its components, can you say something about the remaining twoeigenvalues? If so, what would you say?arrow_forwardDetermine whether the inverse of f(x)=x^4+2 is a function. Then, find the inverse.arrow_forwardThe 173 acellus.com StudentFunctions inter ooks 24-25/08 R Mastery Connect ac ?ClassiD-952638111# Introduction - Surface Area of Composite Figures 3 cm 3 cm 8 cm 8 cm Find the surface area of the composite figure. 2 SA = [?] cm² 7 cm REMEMBER! Exclude areas where complex shapes touch. 7 cm 12 cm 10 cm might ©2003-2025 International Academy of Science. All Rights Reserved. Enterarrow_forward
- You are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methodsarrow_forwardPlane II is spanned by the vectors: - (2) · P² - (4) P1=2 P21 3 Subspace W is spanned by the vectors: 2 W1 - (9) · 1 W2 1 = (³)arrow_forwardshow that v3 = (−√3, −3, 3)⊤ is an eigenvector of M3 . Also here find the correspondingeigenvalue λ3 . Just from looking at M3 and its components, can you say something about the remaining twoeigenvalues? If so, what would you say? find v42 so that v4 = ( 2/5, v42, 1)⊤ is an eigenvector of M4 with corresp. eigenvalue λ4 = 45arrow_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





