MATH IN OUR WORLD (VALUE EDITION)
4th Edition
ISBN: 9781266216855
Author: sobecki
Publisher: MCG
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Textbook Question
Chapter 1.1, Problem 58E
In Exercises 41–58, determine whether the type of reasoning used is inductive or deductive reasoning.
56. The last several network dramas I’ve followed have been canceled just when I started getting into them. So I’m not going to bother watching the new one they’re advertising even though it looks good, because I don’t want to be disappointed when it gets canceled.
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The following table shows a data set containing information for 25 of the shadow stocks tracked by the American Association of Individual Investors (aaii.com, February 2002). Shadow stocks are common stocks of smaller companies that are not closely followed by Wall Street analysts.
Click on the datafile logo to reference the data.
DATA file
Company
DeWolfe Companies
Exchange
Ticker
Symbol
Market
Cap
($ millions)
Price/
Gross
Profit
Earnings
Ratio
Margin
(%)
AMEX
DWL
36.4
8.4
36.7
North Coast Energy
OTC
NCEB
52.5
6.2
59.3
Hansen Natural Corp.
OTC
HANS
41.1
14.6
44.8
MarineMax, Inc.
NYSE
HZO
111.5
7.2
23.8
Nanometrics Incorporated
OTC
NANO
228.6
38.0
53.3
TeamStaff, Inc.
OTC
TSTF
92.1
33.5
4.1
Environmental Tectonics
AMEX
ETC
51.1
35.8
35.9
Measurement Specialties
AMEX
MSS
101.8
26.8
37.6
SEMCO Energy, Inc.
NYSE
SEN
193.4
18.7
23.6
Party City Corporation
OTC
PCTY
97.2
15.9
36.4
Embrex, Inc.
OTC
EMBX
136.5
18.9
59.5
Tech/Ops Sevcon, Inc.
AMEX
ΤΟ
23.2
20.7
35.7
ARCADIS NV
OTC
ARCAF
173.4…
The following table shows a data set containing information for 25 of the shadow stocks tracked by the American Association of Individual Investors (aaii.com, February 2002). Shadow stocks are common stocks of smaller companies that are not closely followed by Wall Street analysts.
Click on the datafile logo to reference the data.
DATA file
Company
DeWolfe Companies
Exchange
AMEX
Ticker
Symbol
Market
Cap
Price/
Gross
Profit
Earnings Margin
($ millions)
Ratio
(%)
DWL
36.4
8.4
36.7
North Coast Energy
OTC
NCEB
52.5
6.2
59.3
Hansen Natural Corp.
OTC
HANS
41.1
14.6
44.8
MarineMax, Inc.
NYSE
HZO
111.5
7.2
23.8
Nanometrics Incorporated
OTC
NANO
228.6
38.0
53.3
TeamStaff, Inc.
OTC
TSTF
92.1
33.5
4.1
Environmental Tectonics
AMEX
ETC
51.1
35.8
35.9
Measurement Specialties
AMEX
MSS
101.8
26.8
37.6
SEMCO Energy, Inc.
NYSE
SEN
193.4
18.7
23.6
Party City Corporation
OTC
PCTY
97.2
15.9
36.4
Embrex, Inc.
OTC
EMBX
136.5
18.9
59.5
Tech/Ops Sevcon, Inc.
AMEX
ΤΟ
23.2
20.7
35.7
ARCADIS NV
OTC
ARCAF
173.4…
The following data show the year to date percent change (YTD % Change) for 30 stock-market indexes from around the word (The Wall Street Journal, August 26, 2013).
a. What index has the largest positive YTD % Change? Round your answer to once decimal place. index with a YTD % Change of %
b. Using a class width of 5 beginning with -20 and going to 40, develop a frequency distribution for the data.
YTD % Change
Frequency
-20 - -15
-15 - -10
-10 - -5
-5 - 0
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
30 - 35
c.
1.
2.
3.
4.
Chapter 1 Solutions
MATH IN OUR WORLD (VALUE EDITION)
Ch. 1.1 - Use inductive reasoning to find a pattern and make...Ch. 1.1 - Make a reasonable conjecture for the next figure...Ch. 1.1 - If two odd numbers are multiplied, is the result...Ch. 1.1 - Use inductive reasoning to decide if the following...Ch. 1.1 - Find a counterexample to disprove the conjecture...Ch. 1.1 - Given that there are 31 sections with 6 points,...Ch. 1.1 - Consider the following problem: think of any...Ch. 1.1 - Arrive at a conclusion by using inductive...Ch. 1.1 - There is no mail delivery on holidays. Tomorrow is...Ch. 1.1 - Everyone I know in my sorority got at least a 2.5...
Ch. 1.1 - Explain the difference between inductive and...Ch. 1.1 - What is meant by the term conjecture?Ch. 1.1 - Give an example of a decision you made based on...Ch. 1.1 - What is a counterexample? What are counterexamples...Ch. 1.1 - Explain why you can never be sure that a...Ch. 1.1 - Explain the difference between an arbitrary number...Ch. 1.1 - Prob. 7ECh. 1.1 - Prob. 8ECh. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - Prob. 17ECh. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 1720, find a counterexample to show...Ch. 1.1 - For Exercises 1720, find a counterexample to show...Ch. 1.1 - For Exercises 1720, find a counterexample to show...Ch. 1.1 - For Exercises 1720, find a counterexample to show...Ch. 1.1 - For Exercises 2124, use inductive reasoning to...Ch. 1.1 - For Exercises 2124, use inductive reasoning to...Ch. 1.1 - For Exercises 2124, use inductive reasoning to...Ch. 1.1 - For Exercises 2124, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - Prob. 34ECh. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - Use inductive reasoning to make a conjecture about...Ch. 1.1 - Use inductive reasoning to determine the unknown...Ch. 1.1 - In Exercises 3740, use inductive reasoning to find...Ch. 1.1 - In Exercises 3740, use inductive reasoning to find...Ch. 1.1 - In Exercises 3740, use inductive reasoning to find...Ch. 1.1 - In Exercises 3740, use inductive reasoning to find...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - Prob. 48ECh. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - Do a Google search for the string studies texting...Ch. 1.1 - Just about everyone had a conversation like this...Ch. 1.1 - (a) Find a likely candidate for the next two...Ch. 1.1 - (a) Find a likely candidate for the next two...Ch. 1.1 - (a) In several of the problems in this section,...Ch. 1.1 - Refer to problem 63. (a) Write a string of three...Ch. 1.1 - Problems 65 and 66 use the formula average speed =...Ch. 1.1 - Problems 65 and 66 use the formula average speed =...Ch. 1.1 - The Cubs lost the first six games of the season....Ch. 1.1 - Prob. 68ECh. 1.1 - Prob. 69ECh. 1.1 - Prob. 70ECh. 1.1 - There were 104,000 people at the Ohio...Ch. 1.1 - All three high school math teachers I had were...Ch. 1.1 - The numbers 1, 3, 6, 10, 15, are called...Ch. 1.1 - Refer to Exercise 75. The formula for finding...Ch. 1.2 -
Try This One 1
Round each value as requested.
The...Ch. 1.2 - At one ballpark, large frosty beverages cost 7.25...Ch. 1.2 - Prob. 3TTOCh. 1.2 - Next up for the Osbueos: a bedroom remodel. They...Ch. 1.2 - Prob. 5TTOCh. 1.2 - Using the pie chart shown in Example 6, find the...Ch. 1.2 - Prob. 7TTOCh. 1.2 - Think of three situations in our world where you...Ch. 1.2 - Explain why an exact answer to a math problem isnt...Ch. 1.2 - How can estimation be used as a quick check to see...Ch. 1.2 - Describe the rules for rounding numbers to a given...Ch. 1.2 - Explain why there is never a single, correct...Ch. 1.2 - Explain how to estimate the size of a quantity...Ch. 1.2 - How is information described in a pie chart? What...Ch. 1.2 - How can you tell when a quantity is getting larger...Ch. 1.2 - Prob. 9ECh. 1.2 - Prob. 10ECh. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 2932, estimate the result of the...Ch. 1.2 - For Exercises 2932, estimate the result of the...Ch. 1.2 - For Exercises 2932, estimate the result of the...Ch. 1.2 - For Exercises 2932, estimate the result of the...Ch. 1.2 - Prob. 35ECh. 1.2 - Estimate the cost of five months of HD cable at...Ch. 1.2 - Estimate the time it would take you to drive 237...Ch. 1.2 - Estimate the distance you can travel in 3 hours 25...Ch. 1.2 - Estimate the sale price of a futon you saw on eBay...Ch. 1.2 - Prob. 40ECh. 1.2 - Prob. 41ECh. 1.2 - Estimate the total cost of the following items for...Ch. 1.2 - A group of five architecture students enters a...Ch. 1.2 - A biology lab houses 47 rats for experiments, and...Ch. 1.2 - If Erin earns 48,300.00 per year, estimate how...Ch. 1.2 - If Jamaal earns 8.75 per hour, estimate how much...Ch. 1.2 - Prob. 47ECh. 1.2 - Prob. 48ECh. 1.2 - Prob. 49ECh. 1.2 - Estimate your cost to live in an apartment for 1...Ch. 1.2 - Prob. 51ECh. 1.2 - Prob. 52ECh. 1.2 -
Use the information shown in the bar graph for...Ch. 1.2 - Prob. 54ECh. 1.2 - Use the information shown in the graph for...Ch. 1.2 - Use the information shown in the graph for...Ch. 1.2 - Use the information shown in the graph for...Ch. 1.2 - Use the information shown in the graph for...Ch. 1.2 - Prob. 59ECh. 1.2 - Prob. 60ECh. 1.2 - Prob. 61ECh. 1.2 - Prob. 62ECh. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Prob. 69ECh. 1.2 - Prob. 70ECh. 1.2 - Prob. 71ECh. 1.2 - Prob. 72ECh. 1.2 - Prob. 73ECh. 1.2 - Prob. 74ECh. 1.2 - Prob. 75ECh. 1.2 - Prob. 76ECh. 1.2 - Prob. 77ECh. 1.2 - Prob. 78ECh. 1.2 - In Jareds math class, he scored 84, 92, 79, and 86...Ch. 1.2 - Entering a postseason basketball tournament,...Ch. 1.2 - One of the most valuable uses of estimation is to...Ch. 1.2 - Refer to Problem 77. In getting my swimming pool...Ch. 1.2 - Sometimes graphs are drawn in such a way as to...Ch. 1.2 - Prob. 84ECh. 1.2 - Recall that the average speed of an object over...Ch. 1.2 - Prob. 86ECh. 1.2 - Prob. 87ECh. 1.2 - Prob. 88ECh. 1.2 - Prob. 89ECh. 1.2 - Prob. 90ECh. 1.3 -
Try This One 1
Suppose you want to cut a...Ch. 1.3 - A rectangular poster promoting the tailgate bash...Ch. 1.3 - Michelle shipped some packages for her boss and...Ch. 1.3 - A condo on the water in Myrtle Beach can be rented...Ch. 1.3 - Megans car gets 28 miles per gallon on long trips....Ch. 1.3 - A student teacher wants to divide his sixth grade...Ch. 1.3 - List and describe the four steps in problem...Ch. 1.3 - Discuss what you should do first when given a word...Ch. 1.3 - Discuss different ways you might be able to check...Ch. 1.3 - Prob. 4ECh. 1.3 -
5. Why is “application problem” a better name...Ch. 1.3 -
6. Think about a problem you’ve had to solve...Ch. 1.3 - One number is 6 more than another number, and...Ch. 1.3 - One number is 7 more than another number. Their...Ch. 1.3 - If 24 is added to a number, it will be 3 times as...Ch. 1.3 - If the smaller of two numbers is one-half of the...Ch. 1.3 - The sum of the digits of a two-digit number is 7....Ch. 1.3 - If the sum of the digits of a two-digit number is...Ch. 1.3 - When the mortgage is completely paid off for Mark...Ch. 1.3 - Hoang has worked as a nurse at Springfield General...Ch. 1.3 - Prob. 15ECh. 1.3 - Prob. 16ECh. 1.3 - Arrange the digits 1, 2, and 3 to form two numbers...Ch. 1.3 - Nine athletes from a co-ed track team stop for...Ch. 1.3 - Prob. 19ECh. 1.3 - Prob. 20ECh. 1.3 - A fraternity charged 2.00 admission for dudes and...Ch. 1.3 - While reviewing the previous days arrest report, a...Ch. 1.3 - Prob. 23ECh. 1.3 - Prob. 24ECh. 1.3 - Prob. 25ECh. 1.3 - Suzie hangs 10 pictures that each measure 812...Ch. 1.3 - Prob. 27ECh. 1.3 - Prob. 28ECh. 1.3 - Prob. 29ECh. 1.3 - A standard tube of silicone caulk will make a 3/16...Ch. 1.3 - Prob. 31ECh. 1.3 - Prob. 32ECh. 1.3 - Prob. 33ECh. 1.3 - Prob. 34ECh. 1.3 - Kams monthly budget includes 256 for food. 125 for...Ch. 1.3 - Prob. 36ECh. 1.3 - Prob. 37ECh. 1.3 - Prob. 38ECh. 1.3 - Prob. 39ECh. 1.3 - Prob. 40ECh. 1.3 - Prob. 41ECh. 1.3 - Prob. 42ECh. 1.3 - A clerk earns 9.50 per hour and is paid time and a...Ch. 1.3 - A cell phone company charges 35 cents per minute...Ch. 1.3 - Last week at Chilis, my wife and I played a game...Ch. 1.3 - Last week at Chilis, my wife and I played a game...Ch. 1.3 - Prob. 47ECh. 1.3 - Prob. 48ECh. 1.3 - Prob. 49ECh. 1.3 - Prob. 50ECh. 1.3 - Prob. 51ECh. 1.3 - How many total triangles are in this figure?Ch. 1.3 - Prob. 53ECh. 1.3 - Prob. 54ECh. 1.3 - Almost everyone thinks at first that the next two...Ch. 1.3 - Prob. 56ECh. 1.3 - Prob. 57ECh. 1.3 - Prob. 58ECh. 1 - For Exercises 14, make reasonable conjectures for...Ch. 1 - For Exercises 14, make reasonable conjectures for...Ch. 1 - For Exercises 14, make reasonable conjectures for...Ch. 1 - For Exercises 14, make reasonable conjectures for...Ch. 1 - For Exercises 5 and 6, make a reasonable...Ch. 1 - For Exercises 5 and 6, make a reasonable...Ch. 1 - For Exercises 7 and 8, find a counterexample to...Ch. 1 - For Exercises 7 and 8, find a counterexample to...Ch. 1 - Prob. 9RECh. 1 - For Exercises 9 and 10, use inductive reasoning to...Ch. 1 - In Exercises 11 and 12, use inductive reasoning to...Ch. 1 - In Exercises 11 and 12, use inductive reasoning to...Ch. 1 - Prob. 13RECh. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - For Exercises 1923, round each number to the place...Ch. 1 - For Exercises 1923, round each number to the place...Ch. 1 - Prob. 23RECh. 1 - Estimate the cost of four lawn mowers if each one...Ch. 1 - Estimate the cost of five textbooks if they cost...Ch. 1 - According to the trip computer on my car, I...Ch. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - The following pie chart was published in USA Today...Ch. 1 - Prob. 31RECh. 1 - The following pie chart was published in USA Today...Ch. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - Prob. 37RECh. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - A tennis team played 40 matches. The team won 20...Ch. 1 - Prob. 41RECh. 1 - Prob. 42RECh. 1 - Prob. 43RECh. 1 - Prob. 44RECh. 1 - Prob. 45RECh. 1 - Prob. 46RECh. 1 - Prob. 47RECh. 1 - Prob. 48RECh. 1 - Prob. 49RECh. 1 - Prob. 50RECh. 1 - Prob. 51RECh. 1 - Prob. 52RECh. 1 - Prob. 53RECh. 1 - Prob. 54RECh. 1 - Prob. 55RECh. 1 - Prob. 56RECh. 1 - Prob. 1PTCh. 1 - Prob. 2PTCh. 1 - Prob. 3PTCh. 1 - Prob. 4PTCh. 1 - Use inductive reasoning to find a rule that...Ch. 1 - Prob. 6PTCh. 1 - An eccentric business owner decides to give...Ch. 1 - Prob. 8PTCh. 1 - Prob. 9PTCh. 1 - Prob. 10PTCh. 1 - Prob. 11PTCh. 1 - A number divided by 3 less than itself gives a...Ch. 1 - Prob. 13PTCh. 1 - Add five lines to the square to make three squares...Ch. 1 - Prob. 15PTCh. 1 - Prob. 16PTCh. 1 - Prob. 17PTCh. 1 - Prob. 18PTCh. 1 - Prob. 19PTCh. 1 - Prob. 20PTCh. 1 - Prob. 21PTCh. 1 - Prob. 22PTCh. 1 - Prob. 23PTCh. 1 - Prob. 24PTCh. 1 - Prob. 25PTCh. 1 - Prob. 26PTCh. 1 - Prob. 27PT
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- The following data show the year to date percent change (YTD % Change) for 30 stock-market indexes from around the word (The Wall Street Journal, August 26, 2013). Click on the datafile logo to reference the data. DATA file Country Australia Index S&P/ASX200 YTD % Change 10.2 Belgium Bel-20 12.6 Brazil São Paulo Bovespa -14.4 Canada S&P/TSX Comp 2.6 Chile Santiago IPSA -16.3 China Shanghai Composite -9.3 Eurozone EURO Stoxx 10.0 France CAC 40 11.8 Germany DAX 10.6 Hong Kong Hang Seng -3.5 India S&P BSE Sensex -4.7 Israel Tel Aviv 1.3 Italy FTSE MIB 6.6 Japan Nikkei 31.4 Mexico IPC All-Share -6.4 Netherlands AEX 9.3 Singapore Straits Times -2.5 South Korea Kospi -6.4 Spain IBEX 35 6.4 Sweden Switzerland SX All Share 13.8 Swiss Market 17.4 Taiwan Weighted 2.3 U.K. FTSE 100 10.1 U.S. S&P 500 16.6 U.S. DJIA 14.5 U.S. Dow Jones Utility 6.6 U.S. Nasdaq 100 17.4 U.S. Nasdaq Composite 21.1 World DJ Global ex U.S. 4.2 World DJ Global Index 9.9 a. What index has the largest positive YTD %…arrow_forwardWhat is the domain, range, increasing intervals (theres 3), decreasing intervals, roots, y-intercepts, end behavior (approaches four times), leading coffiencent status (is it negative, positivie?) the degress status (zero, undifined etc ), the absolute max, is there a absolute minimum, relative minimum, relative maximum, the root is that has a multiplicity of 2, the multiplicity of 3.arrow_forwardWhat is the vertex, axis of symmerty, all of the solutions, all of the end behaviors, the increasing interval, the decreasing interval, describe all of the transformations that have occurred EXAMPLE Vertical shrink/compression (wider). or Vertical translation down, the domain and range of this graph EXAMPLE Domain: x ≤ -1 Range: y ≥ -4.arrow_forward
- use a graphing utility to sketch the graph of the function and then use the graph to help identify or approximate the domain and range of the function. f(x)= x*sqrt(9-(x^2))arrow_forwarduse a graphing utility to sketch the graph of the function and then use the graph to help identify or approximate the domain and range of the function. f(x)=xsqrt(9-(x^2))arrow_forward4. Select all of the solutions for x²+x - 12 = 0? A. -12 B. -4 C. -3 D. 3 E 4 F 12 4 of 10arrow_forward
- 2. Select all of the polynomials with the degree of 7. A. h(x) = (4x + 2)³(x − 7)(3x + 1)4 B h(x) = (x + 7)³(2x + 1)^(6x − 5)² ☐ Ch(x)=(3x² + 9)(x + 4)(8x + 2)ª h(x) = (x + 6)²(9x + 2) (x − 3) h(x)=(-x-7)² (x + 8)²(7x + 4)³ Scroll down to see more 2 of 10arrow_forward1. If all of the zeros for a polynomial are included in the graph, which polynomial could the graph represent? 100 -6 -2 0 2 100 200arrow_forward3. Select the polynomial that matches the description given: Zero at 4 with multiplicity 3 Zero at −1 with multiplicity 2 Zero at -10 with multiplicity 1 Zero at 5 with multiplicity 5 ○ A. P(x) = (x − 4)³(x + 1)²(x + 10)(x — 5)³ B - P(x) = (x + 4)³(x − 1)²(x − 10)(x + 5)³ ○ ° P(x) = (1 − 3)'(x + 2)(x + 1)"'" (x — 5)³ 51 P(r) = (x-4)³(x − 1)(x + 10)(x − 5 3 of 10arrow_forward
- Match the equation, graph, and description of transformation. Horizontal translation 1 unit right; vertical translation 1 unit up; vertical shrink of 1/2; reflection across the x axis Horizontal translation 1 unit left; vertical translation 1 unit down; vertical stretch of 2 Horizontal translation 2 units right; reflection across the x-axis Vertical translation 1 unit up; vertical stretch of 2; reflection across the x-axis Reflection across the x - axis; vertical translation 2 units down Horizontal translation 2 units left Horizontal translation 2 units right Vertical translation 1 unit down; vertical shrink of 1/2; reflection across the x-axis Vertical translation 2 units down Horizontal translation 1 unit left; vertical translation 2 units up; vertical stretch of 2; reflection across the x - axis f(x) = - =-½ ½ (x − 1)²+1 f(x) = x²-2 f(x) = -2(x+1)²+2 f(x)=2(x+1)²-1 f(x)=-(x-2)² f(x)=(x-2)² f(x) = f(x) = -2x²+1 f(x) = -x²-2 f(x) = (x+2)²arrow_forwardWhat is the vertex, increasing interval, decreasing interval, domain, range, root/solution/zero, and the end behavior?arrow_forwardCalculate a (bxc) where a = i, b = j, and c = k.arrow_forward
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