Solve the problem.[1-3 27Let A =-2 5-13-4 2and b =b3Determine if the equation Ax = b is consistent for all possible by, ba, b. If the equation is not consistent for all possible b₁ b₂b3, give a description of the set of all b for which the equation is consistent (i.e., a condition which must be satisfied by by, by bO Equation is consistent for all possible b₁,b₂, b3.O Equation is consistent for all b₁,b2, b3 satisfying -3b₁-03-0O Equation is consistent for all b₁ b2. ba satisfying 2b1 +2 +0.11O Equation is consistent for all b₁,b₂, b3 satisfying 7b+ 5b3-ba-10.

Answered: Image /qna-images/answer/6344f622-0d16-453e-a865-41ff824ba05d.jpg

Answered: bi 1-3 2 b2 and b -2 5-1 Let A 3-4 2 b3…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 4PT: Given the following set of information, find a linearequation satisfying the conditions, if...

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Given the following set of information, find a linearequation satisfying the conditions, if possible. Passesthrough (5,1) and (3,9)
A manufacturer produces an item consisting of two components, which must both work for the item to func-tion properly. The cost of returning one of the items to the manufacturer for repairs is α dollars, the cost of inspect-ing one of the components is β dollars, and the cost of repairing a faulty component is φ dollars. She can shipeach item without inspection with the guarantee that itwill be put into perfect working condition at her factoryin case it does not work; she can inspect both componentsand repair them if necessary; or she can randomly select one of the components and ship the item with the origi-nal guarantee if it works, or repair it and also check the other component.(a) Construct a table showing the manufacturer’sexpected losses corresponding to her three “strategies”and the three “states” of Nature that 0, 1, or 2 of thecomponents do not work.(b) What should the manufacturer do if α = $25.00,φ = $10.00, and she wants to minimize her maximumexpected losses?(c) What…
4. Show that the equation Ax = b does not have a solution for all possible b, and describe the set of all b for which Ax = b does have a solution.
Which of the following statements is CORRECT? There is not enough information to determine how many solutions ?3+?−1=0 x^3+x-1=0 has no solution in [0,2] x^3+x-1=0 has exactly three solution in [0,2] x^3+x-1=0 has exactly two solution in [0,2] x^3+x-1=0 has exactly one solution in [0,2]
(a) Find the number of these patients that had either high blood pressure or high cholesterol levels, but not both. The number of cities that had high blood pressure or high cholesterol levels, but not both, is (b) Find the number of these patients that had fewer than two of the indications listed. (c) Find the number of these patients that were smokers but had neither high blood pressure nor high cholesterol levels. (d) Find the number of these patients that did not have exactly two of the indications listed.
If a, b, c are real numbers and b different from 0, find the relationships between a, b, c and the numbers q, r and s for which the linear systemAX+BY=CQR+RY=S(a) has no solutions.(b) has infinitely many solutions.(c) has exactly one solution.
In a medical trial on COVID 19, there were 230 patients, 78 people received treatment A81 people received treatment B63 people received treatment C46 people received treatments A and B32 people received treatments B and C31 people received treatments A and C16 people received all the treatments Show your solution using Venn-diagram Questions to solve:a. How many people did not receive any of the treatments?b. How many people received treatment C only?c. How many people received treatment B only?
show complete solution for C.1 and C.2
A peasant finds himself on a riverbank with a wolf, a goat, and a head of cabbage. He needs to transport all three to the other side of the river in his boat. However, the boat has room for only the peasant himself and one other item (either the wolf, the goat, or the cabbage). In his absence, the wolf would eat the goat, and the goat would eat the cabbage. Solve this problem for the peasant or prove it has no solution. (Note: The peasant is a vegetarian but does not like cabbage and hence can eat neither the goat nor the cabbage to help him solve the problem. And it goes without saying that the wolf is a protected species.)
A contestant on a quiz show is presented with two questions, questions 1 and 2, which he is to attempt to answer in some order he chooses. If he decides to try question i first, then he will be allowed to go on to question j, j not = to i, only if his answer to question i is correct. If his initial answer is incorrect, he is not allowed to answer the other question. if he is 60% certain of answering question 1, worth$200, correctly and he is 80% certain of answering question 2, worth $100, correctly. Which question he should try first as to maximize his expected winnings?
Currently, lecture A has 68 students enrolled. Let’s say we gave an assignment with 7 questions to each of the 68 students, with each student taking the assignment individually. It turned out that every question was solved by at least 43 students. Now, suppose instead we had let you work on the assignment in pairs. When you work in pairs if at least one of you could get the correct answer, you’d convince your partner and you would both get it right. Using the pigeonhole principle, show that there exists a pair of students such that, if they work together, they will get a perfect score on the assignment. When using the pigeonhole principle, be sure to mention what the pigeons and pigeonholes are.
“If compound X is boiling, then its temperature must be at least 150°C.” Assuming that this statement is true, which of the following must also be true?a. If the temperature of compound X is at least 150°C, then compound X is boiling.b. If the temperature of compound X is less than 150°C, then compound X is not boiling.c. Compound X will boil only if its temperature is at least 150°C.d. If compound X is not boiling, then its temperature is less than 150°C.e. A necessary condition for compound X to boil is that its temperature be at least 150°C.f. A sufficient condition for compound X to boil is that its temperature be at least 150°C.

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