Concept explainers
(a)
To find: The average rate of change in Lisa’s temperature from 8:00 A.M on Monday to 8:00 P.M on Monday.
(a)
Answer to Problem 11PPS
The average rate of change in Lisa’s temperature from 8:00 A.M on Monday to 8:00 P.M on Monday is
Explanation of Solution
Given:
The following table shows Lisa’s temperature during an illness over 3-day period.
Day | Monday | Tuesday | Wednesday | |||
Time | 8:00 A.M | 8:00 P.M | 8:00 A.M | 8:00 P.M | 8:00 A.M | 8:00 P.M |
Temp |
Calculation:
Find the rate of change as follows.
Therefore, the average rate of change is
(b)
To find: The average rate of change in Lisa’s temperature from 8:00 A.M on Tuesday to 8:00 P.M on Wednesday, whether the answer is reasonable and find the meaning of sign of rate of change.
(b)
Answer to Problem 11PPS
The average rate of change from 8:00 A.M on Tuesday to 8:00 P.M on Wednesday is
Explanation of Solution
Find the rate of change as follows.
Therefore, the average rate of change is
The average rate of change from 8:00 A.M on Tuesday to 8:00 P.M on Wednesday is
(c)
To find: The 12-hour period at which the average rate of change in Lisa’s temperature is greatest.
(c)
Answer to Problem 11PPS
The average rate of change in Lisa’s temperature was greatest during Monday 8:00 A.M to Monday 8:00 P.M.
Explanation of Solution
The average rate of change in Lisa’s temperature from 8:00 A.M on Monday to 8:00 P.M on Monday is
The average rate of change in Lisa’s temperature from 8:00 A.M on Monday to 8:00 P.M on Tuesday is
The average rate of change in Lisa’s temperature from 8:00 A.M on Tuesday to 8:00 P.M on Tuesday is
The average rate of change in Lisa’s temperature from 8:00 A.M on Tuesday to 8:00 P.M on Wednesday is
The average rate of change in Lisa’s temperature from 8:00 A.M on Wednesday to 8:00 P.M on Wednesday is
Therefore, the average rate of change in Lisa’s temperature was greatest during Monday 8:00 A.M to Monday 8:00 P.M.
Chapter 2 Solutions
Glencoe Algebra 2 Student Edition C2014
Additional Math Textbook Solutions
Thinking Mathematically (6th Edition)
Pre-Algebra Student Edition
Basic Business Statistics, Student Value Edition
Elementary Statistics (13th Edition)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Calculus: Early Transcendentals (2nd Edition)
- Answersarrow_forward************* ********************************* Q.1) Classify the following statements as a true or false statements: a. If M is a module, then every proper submodule of M is contained in a maximal submodule of M. b. The sum of a finite family of small submodules of a module M is small in M. c. Zz is directly indecomposable. d. An epimorphism a: M→ N is called solit iff Ker(a) is a direct summand in M. e. The Z-module has two composition series. Z 6Z f. Zz does not have a composition series. g. Any finitely generated module is a free module. h. If O→A MW→ 0 is short exact sequence then f is epimorphism. i. If f is a homomorphism then f-1 is also a homomorphism. Maximal C≤A if and only if is simple. Sup Q.4) Give an example and explain your claim in each case: Monomorphism not split. b) A finite free module. c) Semisimple module. d) A small submodule A of a module N and a homomorphism op: MN, but (A) is not small in M.arrow_forwardI need diagram with solutionsarrow_forward
- T. Determine the least common denominator and the domain for the 2x-3 10 problem: + x²+6x+8 x²+x-12 3 2x 2. Add: + Simplify and 5x+10 x²-2x-8 state the domain. 7 3. Add/Subtract: x+2 1 + x+6 2x+2 4 Simplify and state the domain. x+1 4 4. Subtract: - Simplify 3x-3 x²-3x+2 and state the domain. 1 15 3x-5 5. Add/Subtract: + 2 2x-14 x²-7x Simplify and state the domain.arrow_forwardQ.1) Classify the following statements as a true or false statements: Q a. A simple ring R is simple as a right R-module. b. Every ideal of ZZ is small ideal. very den to is lovaginz c. A nontrivial direct summand of a module cannot be large or small submodule. d. The sum of a finite family of small submodules of a module M is small in M. e. The direct product of a finite family of projective modules is projective f. The sum of a finite family of large submodules of a module M is large in M. g. Zz contains no minimal submodules. h. Qz has no minimal and no maximal submodules. i. Every divisible Z-module is injective. j. Every projective module is a free module. a homomorp cements Q.4) Give an example and explain your claim in each case: a) A module M which has a largest proper submodule, is directly indecomposable. b) A free subset of a module. c) A finite free module. d) A module contains no a direct summand. e) A short split exact sequence of modules.arrow_forwardListen ANALYZING RELATIONSHIPS Describe the x-values for which (a) f is increasing or decreasing, (b) f(x) > 0 and (c) f(x) <0. y Af -2 1 2 4x a. The function is increasing when and decreasing whenarrow_forwardBy forming the augmented matrix corresponding to this system of equations and usingGaussian elimination, find the values of t and u that imply the system:(i) is inconsistent.(ii) has infinitely many solutions.(iii) has a unique solutiona=2 b=1arrow_forwardif a=2 and b=1 1) Calculate 49(B-1)2+7B−1AT+7ATB−1+(AT)2 2)Find a matrix C such that (B − 2C)-1=A 3) Find a non-diagonal matrix E ̸= B such that det(AB) = det(AE)arrow_forwardWrite the equation line shown on the graph in slope, intercept form.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- 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