Thinking Mathematically Plus MyLab Math -- Access Card Package (7th Edition) (What's New in Service Math)
7th Edition
ISBN: 9780134708300
Author: Robert F. Blitzer
Publisher: PEARSON
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Chapter 9.3, Problem 59E
To determine
Best unit of measurement to express the weight of the given item.
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6.
Consider the matrices
G =
0
(3)
-3\
-3
2
and H =
-1
2
0
5
0
5
5
noting that H(:, 3) = 2H(:,1) + H(:, 2).
Is G invertible? Explain your answer.
Is H invertible? Explain your answer.
Use co-factor expansion to find the determinant of H. (Hint:
expand the 2nd or 3rd row)
B3 Consider X ~ Bern(p)
(a) Find Mx(t), the moment generating function of X.
iid
(b) If X1,..., Xn
Bern(p), find the MGF, say My (t) of
n
Y =
ΣΧ
(c) Using the fact that
i=1
n
lim (1
(1+2)"=
N→X
= e²
find limn→∞ My (t) in the case that p satisfies limn→∞ np = λ, say.
(d) State the distribution of Y in the case that n is not large, and the distribution of Y in
the limiting case described in the question.
B1 The density of the x2 distribution is given in the notes as
1
F(§)2/2
(x)=()2/21
x/2-1/2, if x > 0, and
e
where I(t)=√xt-¹e dx is the gamma function.
otherwise,
Find the point at which o(a) has its maximum, i.e. find arg max, o, (x)
Chapter 9 Solutions
Thinking Mathematically Plus MyLab Math -- Access Card Package (7th Edition) (What's New in Service Math)
Ch. 9.1 - CHECK POINT 1 Convert: a. 78 inches to feet b....Ch. 9.1 - CHECK POINT 2
a. Convert 8000 meters to...Ch. 9.1 - CHECK POINT 3 a. Convert 8 feet to centimeters. b....Ch. 9.1 - CHECK POINT 4 A road in Europe has a speed limit...Ch. 9.1 - The result obtained from measuring length is...Ch. 9.1 - In the English system, _________ in. = 1 ft,...Ch. 9.1 - Fractions such as 12 in . 1 ft and 1 yd 3 ...Ch. 9.1 - In the metric system, 1 km= __________ m, l hm =...Ch. 9.1 - In Exercises 5-8, determine whether each statement...Ch. 9.1 - In Exercises 5-8, determine whether each statement...
Ch. 9.1 - Prob. 7CVCCh. 9.1 - Prob. 8CVCCh. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - Prob. 33ECh. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - Prob. 36ECh. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - Prob. 42ECh. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - Prob. 44ECh. 9.1 - Use 1 mi ≈ 1 .6 km to solve Exercises 45-48....Ch. 9.1 - Prob. 46ECh. 9.1 - Use 1 mi ≈ 1 .6 km to solve Exercises 45-48....Ch. 9.1 - Use 1 mi ≈ 1 .6 km to solve Exercises 45-48....Ch. 9.1 - In Exercises 49-52, use the unit fractions 36 in...Ch. 9.1 - In Exercises 49-52, use the unit fractions 36 in...Ch. 9.1 - In Exercises 49-52, use the unit fractions
51....Ch. 9.1 - In Exercises 49-52, use the unit fractions 36 in...Ch. 9.1 - In Exercises 53-54, use the unit fractions
53....Ch. 9.1 - In Exercises 53-54, use the unit fractions 5280 ...Ch. 9.1 - Use unit fractions to express 120 miles per hour...Ch. 9.1 - Prob. 56ECh. 9.1 - In Exercises 57-66, selecting from millimeter,...Ch. 9.1 - In Exercises 57-66, selecting from millimeter,...Ch. 9.1 - In Exercises 57-66, selecting from millimeter,...Ch. 9.1 - In Exercises 57-66, selecting from millimeter,...Ch. 9.1 - Prob. 61ECh. 9.1 - Prob. 62ECh. 9.1 - In Exercises 57-66, selecting from millimeter,...Ch. 9.1 - In Exercises 57-66, selecting from millimeter,...Ch. 9.1 - In Exercises 57-66, selecting from millimeter,...Ch. 9.1 - In Exercises 57-66, selecting from millimeter,...Ch. 9.1 - Prob. 67ECh. 9.1 - Prob. 68ECh. 9.1 - Prob. 69ECh. 9.1 - Prob. 70ECh. 9.1 - Prob. 71ECh. 9.1 - In Exercises 67-74, select the best estimate for...Ch. 9.1 - In Exercises 67-74, select the best estimate for...Ch. 9.1 - Prob. 74ECh. 9.1 - Prob. 75ECh. 9.1 - Prob. 76ECh. 9.1 - Prob. 77ECh. 9.1 - Prob. 78ECh. 9.1 - Prob. 79ECh. 9.1 - Exercises 79-80 give the approximate length of...Ch. 9.1 - Prob. 81ECh. 9.1 - Exercises 81-82 give the approximate height of...Ch. 9.1 - Exercises 83-84 give the average rainfall of some...Ch. 9.1 - Prob. 84ECh. 9.1 - Prob. 85ECh. 9.1 - 86. Describe how to use dimensional analysis to...Ch. 9.1 - Prob. 87ECh. 9.1 - Prob. 88ECh. 9.1 - Prob. 89ECh. 9.1 - What kind of difficulties might arise if the...Ch. 9.1 - Prob. 91ECh. 9.1 - Prob. 92ECh. 9.1 - Make Sense? In Exercises 92-95, determine whether...Ch. 9.1 - Prob. 94ECh. 9.1 - Prob. 95ECh. 9.1 - Prob. 96ECh. 9.1 - Prob. 97ECh. 9.1 - Prob. 98ECh. 9.1 - Prob. 99ECh. 9.1 - Prob. 100ECh. 9.2 - CHECK POINT 1 What is the area of the region...Ch. 9.2 - CHECK POINT 2 The population of California is...Ch. 9.2 - Prob. 3CPCh. 9.2 - CHECK POINT 4 A property in northern California is...Ch. 9.2 - CHECK POINT 5 What is the volume of the region...Ch. 9.2 - CHECK POINT 6 A pool has a volume of 10,000 cubic...Ch. 9.2 - CHECK POINT 7 A fish pond has a volume of 220,000...Ch. 9.2 - CHECK POINT 8 A physician orders 20 cc of the...Ch. 9.2 - Prob. 1CVCCh. 9.2 - Prob. 2CVCCh. 9.2 - Because 1 mi 2 = 640 acres, the unit fraction...Ch. 9.2 - Prob. 4CVCCh. 9.2 - Prob. 5CVCCh. 9.2 - Prob. 6CVCCh. 9.2 - Prob. 7CVCCh. 9.2 - In Exercises 8-10, determine whether each...Ch. 9.2 - In Exercises 8-10, determine whether each...Ch. 9.2 - In Exercises 8-10, determine whether each...Ch. 9.2 - Prob. 1ECh. 9.2 - In Exercises 1-4, use the given figure to find its...Ch. 9.2 - In Exercises 1-4, use the given figure to find its...Ch. 9.2 - In Exercises 1-4, use the given figure to find its...Ch. 9.2 - In Exercises 5-12, use Table 9.4 on page 588,...Ch. 9.2 - In Exercises 5-12, use Table 9.4 on page 588,...Ch. 9.2 - In Exercises 5-12, use Table 9.4 on page 588,...Ch. 9.2 - In Exercises 5-12, use Table 9.4 on page 588,...Ch. 9.2 - In Exercises 5-12, use Table 9.4 on page 588,...Ch. 9.2 - Prob. 10ECh. 9.2 - In Exercises 5-12, use Table 9.4 on page 588,...Ch. 9.2 - Prob. 12ECh. 9.2 - In Exercises 13-14, use the given figure to find...Ch. 9.2 - In Exercises 13-14, use the given figure to find...Ch. 9.2 - In Exercises 15-22, use Table 9.5 on page590,...Ch. 9.2 - In Exercises 15-22, use Table 9.5 on page590,...Ch. 9.2 - In Exercises 15-22, use Table 9.5 on page590,...Ch. 9.2 - In Exercises 15-22, use Table 9.5 on page590,...Ch. 9.2 - In Exercises 15-22, use Table 9.5 on page590,...Ch. 9.2 - In Exercises 15-22, use Table 9.5 on page590,...Ch. 9.2 - In Exercises 15-22, use Table 9.5 on page590,...Ch. 9.2 - In Exercises 15-22, use Table 9.5 on page590,...Ch. 9.2 - In Exercises 23-32, use Table 9.7 on page 591,...Ch. 9.2 - Prob. 24ECh. 9.2 - In Exercises 23-32, use Table 9.7 on page 591,...Ch. 9.2 - Prob. 26ECh. 9.2 - In Exercises 23-32, use Table 9.7 on page 591,...Ch. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - In Exercises 33-48, use Table 9.8 on page 591,...Ch. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - In Exercises 33-48, use Table 9.8 on page 591,...Ch. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - In Exercises 33-48, use Table 9.8 on page 591,...Ch. 9.2 - Prob. 43ECh. 9.2 - Prob. 44ECh. 9.2 - In Exercises 33-48, use Table 9.8 on page 591,...Ch. 9.2 - Prob. 46ECh. 9.2 - In Exercises 33-48, use Table 9.8 on page 591,...Ch. 9.2 - In Exercises 33-48, use Table 9.8 on page 591,...Ch. 9.2 - The bar graph shows the resident population and...Ch. 9.2 - The bar graph shows the resident population and...Ch. 9.2 - The bar graph shows the resident population and...Ch. 9.2 - Prob. 52ECh. 9.2 - In Exercises 53-54, find the population density,...Ch. 9.2 - In Exercises 53-54, find the population density,...Ch. 9.2 - Prob. 55ECh. 9.2 - Prob. 56ECh. 9.2 - A property that measures 8 hectares is for sale....Ch. 9.2 - Prob. 58ECh. 9.2 - Prob. 59ECh. 9.2 - Prob. 60ECh. 9.2 - Prob. 61ECh. 9.2 - Prob. 62ECh. 9.2 - Prob. 63ECh. 9.2 - Prob. 64ECh. 9.2 - Prob. 65ECh. 9.2 - Prob. 66ECh. 9.2 - Prob. 67ECh. 9.2 - Prob. 68ECh. 9.2 - Prob. 69ECh. 9.2 - Prob. 70ECh. 9.2 - Prob. 71ECh. 9.2 - Prob. 72ECh. 9.2 - Exercises 73-74 give the approximate area of some...Ch. 9.2 - Exercises 73-74 give the approximate area of some...Ch. 9.2 - (Source for Exercises 71-74: Russell Ash, The Top...Ch. 9.2 - Prob. 76ECh. 9.2 - Prob. 77ECh. 9.2 - Prob. 78ECh. 9.2 - Prob. 79ECh. 9.2 - Prob. 80ECh. 9.2 - Prob. 81ECh. 9.2 - Prob. 82ECh. 9.2 - Prob. 83ECh. 9.2 - Prob. 84ECh. 9.2 - Prob. 85ECh. 9.2 - Prob. 86ECh. 9.2 - Prob. 87ECh. 9.2 - 88. Nebraska has a population density of 23.8...Ch. 9.2 - Prob. 89ECh. 9.2 - Prob. 90ECh. 9.2 - Prob. 91ECh. 9.2 - Prob. 92ECh. 9.2 - Prob. 93ECh. 9.3 - CHECK POINT I a. Convert 4.2 dg to mg. b. Convert...Ch. 9.3 - Prob. 2CPCh. 9.3 - Prob. 3CPCh. 9.3 - Prob. 4CPCh. 9.3 - Prob. 5CPCh. 9.3 - Prob. 6CPCh. 9.3 - Prob. 1CVCCh. 9.3 - Prob. 2CVCCh. 9.3 - Prob. 3CVCCh. 9.3 - Prob. 4CVCCh. 9.3 - On the Fahrenheit temperature scale, water freezes...Ch. 9.3 - 6. On the Celsius temperature scale, water freezes...Ch. 9.3 - Prob. 7CVCCh. 9.3 - Prob. 8CVCCh. 9.3 - Prob. 9CVCCh. 9.3 - Prob. 10CVCCh. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 11-18, use Table 9.10 on page 598 to...Ch. 9.3 - In Exercises 11-18, use Table 9.10 on page 598 to...Ch. 9.3 - In Exercises 11-18, use Table 9.10 on page 598 to...Ch. 9.3 - In Exercises 11-18, use Table 9.10 on page 598 to...Ch. 9.3 - In Exercises 11-18, use Table 9.10 on page 598 to...Ch. 9.3 - In Exercises 11-18, use Table 9.10 on page 598 to...Ch. 9.3 - In Exercises 11-18, use Table 9.10 on page 598 to...Ch. 9.3 - In Exercises 11-18, use Table 9.10 on page 598 to...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 31-38, convert the given Celsius...Ch. 9.3 - In Exercises 31-38, convert the given Celsius...Ch. 9.3 - In Exercises 31—38, convert the given Celsius...Ch. 9.3 - In Exercises 31-38, convert the given Celsius...Ch. 9.3 - In Exercises 31-38, convert the given Celsius...Ch. 9.3 - In Exercises 31-38, convert the given Celsius...Ch. 9.3 - In Exercises 31-38, convert the given Celsius...Ch. 9.3 - In Exercises 31—38, convert the given Celsius...Ch. 9.3 - Prob. 39ECh. 9.3 - Prob. 40ECh. 9.3 - In Exercises 39-50, convert the given Fahrenheit...Ch. 9.3 - In Exercises 39-50, convert the given Fahrenheit...Ch. 9.3 - Prob. 43ECh. 9.3 - In Exercises 39-50, convert the given Fahrenheit...Ch. 9.3 - In Exercises 39-50, convert the given Fahrenheit...Ch. 9.3 - 46.
In Exercises 39-50, convert the given...Ch. 9.3 - In Exercises 39-50, convert the given Fahrenheit...Ch. 9.3 - Prob. 48ECh. 9.3 - Prob. 49ECh. 9.3 - Prob. 50ECh. 9.3 - Prob. 51ECh. 9.3 - Prob. 52ECh. 9.3 - Prob. 53ECh. 9.3 - Prob. 54ECh. 9.3 - Prob. 55ECh. 9.3 - Prob. 56ECh. 9.3 - Prob. 57ECh. 9.3 - Prob. 58ECh. 9.3 - Prob. 59ECh. 9.3 - Prob. 60ECh. 9.3 - Prob. 61ECh. 9.3 - Prob. 62ECh. 9.3 - Prob. 63ECh. 9.3 - Prob. 64ECh. 9.3 - Prob. 65ECh. 9.3 - Prob. 66ECh. 9.3 -
Ch. 9.3 - Prob. 68ECh. 9.3 - Prob. 69ECh. 9.3 - Prob. 70ECh. 9.3 - Which is more economical: purchasing the economy...Ch. 9.3 - Exercises 72-73 ask you to determine drug dosage...Ch. 9.3 -
Ch. 9.3 - Prob. 74ECh. 9.3 - The label on a bottle of Emetrol (“for food or...Ch. 9.3 - Prob. 76ECh. 9.3 - Prob. 77ECh. 9.3 - Prob. 78ECh. 9.3 - Prob. 79ECh. 9.3 - Prob. 80ECh. 9.3 - Prob. 81ECh. 9.3 - Prob. 82ECh. 9.3 - Prob. 83ECh. 9.3 - Prob. 84ECh. 9.3 - Prob. 85ECh. 9.3 - Prob. 86ECh. 9.3 - Prob. 87ECh. 9.3 - Prob. 88ECh. 9.3 - Prob. 89ECh. 9.3 - Prob. 90ECh. 9.3 - Prob. 91ECh. 9.3 - Prob. 92ECh. 9.3 - Prob. 93ECh. 9.3 - Prob. 94ECh. 9.3 - Prob. 95ECh. 9.3 - Prob. 96ECh. 9.3 - Prob. 97ECh. 9.3 - Prob. 98ECh. 9.3 - Prob. 99ECh. 9.3 - Prob. 100ECh. 9.3 - Prob. 101ECh. 9.3 - Prob. 102ECh. 9 - In Exercises 1-4, use dimensional analysis to...Ch. 9 - In Exercises 1-4, use dimensional analysis to...Ch. 9 - In Exercises 1-4, use dimensional analysis to...Ch. 9 - In Exercises 1-4, use dimensional analysis to...Ch. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 16RECh. 9 - Prob. 17RECh. 9 - Prob. 18RECh. 9 - 19. Arrange from smallest to largest: 0.024 km,...Ch. 9 - Prob. 20RECh. 9 - Prob. 21RECh. 9 - Prob. 22RECh. 9 - Prob. 23RECh. 9 - Prob. 24RECh. 9 - Prob. 25RECh. 9 - Prob. 26RECh. 9 - Prob. 27RECh. 9 - Prob. 28RECh. 9 - Prob. 29RECh. 9 - Prob. 30RECh. 9 - Prob. 31RECh. 9 - Prob. 32RECh. 9 - Prob. 33RECh. 9 - Prob. 34RECh. 9 - Prob. 35RECh. 9 - Prob. 36RECh. 9 - Prob. 37RECh. 9 - 38. Explain why the area of Texas could not be...Ch. 9 - Prob. 39RECh. 9 - Prob. 40RECh. 9 - Prob. 41RECh. 9 - Prob. 42RECh. 9 - Prob. 43RECh. 9 - Prob. 44RECh. 9 - Prob. 45RECh. 9 - 46. Using 1 , convert 392 grams to ounces.
Ch. 9 - Prob. 47RECh. 9 - Prob. 48RECh. 9 - Prob. 49RECh. 9 - Prob. 50RECh. 9 - In Exercises 50-51, select the best estimate for...Ch. 9 - Prob. 52RECh. 9 - Prob. 53RECh. 9 - Prob. 54RECh. 9 - Prob. 55RECh. 9 - Prob. 56RECh. 9 - Prob. 57RECh. 9 - Prob. 58RECh. 9 - Prob. 59RECh. 9 - Prob. 60RECh. 9 - Prob. 61RECh. 9 - Prob. 62RECh. 9 - Prob. 63RECh. 9 - Prob. 1TCh. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - In Exercises 4-6, write the most reasonable metric...Ch. 9 - Prob. 5TCh. 9 - Prob. 6TCh. 9 - 7. If 1 mile 1.6 kilometers, express 80 miles per...Ch. 9 - Prob. 8TCh. 9 - Australia has a population of 22,992,654 and an...Ch. 9 - Prob. 10TCh. 9 - 11. The area of a dollar bill is...Ch. 9 - Prob. 12TCh. 9 - 13. The label on a bottle of Pepto Bismol...Ch. 9 - 14. A swimming pool has a volume of 10,000 cubic...Ch. 9 - 15. The capacity of a pail used to wash floors is...Ch. 9 - Prob. 16TCh. 9 - 17. The prescribed dosage of a drug is 10 mg/kg...Ch. 9 - In Exercises 18-19, write the most reasonable...Ch. 9 - Prob. 19TCh. 9 - Prob. 20TCh. 9 - 21. Convert 176°F to Celsius.
Ch. 9 - Prob. 22T
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Author:Carter
Publisher:McGraw Hill
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
What is a Linear Equation in One Variable?; Author: Don't Memorise;https://www.youtube.com/watch?v=lDOYdBgtnjY;License: Standard YouTube License, CC-BY
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY