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High School Math Algebra High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

The equation of the parabola in standard form which passes through the points 1 , − 2 , 2 , − 4 and 3 , − 4 . The equation of the parabola in standard form is y = − x 2 − 5 x + 2 . Given: The parabola passes through the points 1 , − 2 , 2 , − 4 and 3 , − 4 . Concept used: The equation of the parabola in standard form is y = a x 2 + b x + c , a ≠ 0 can be obtained by satisfying the given points in the parabola. Calculation: Consider the equation of the parabola in standard form is y = a x 2 + b x + c where a ≠ 0 . Since, the parabola passes through the points 1 , − 2 , 2 , − 4 and 3 , − 4 . Therefore, the three points 1 , − 2 , 2 , − 4 and 3 , − 4 will satisfy the parabola y = a x 2 + b x + c where a ≠ 0 . Satisfying the points 1 , − 2 , 2 , − 4 and 3 , − 4 in the parabola y = a x 2 + b x + c . y = a x 2 + b x + c .... 1 − 2 = a 1 2 + b 1 + c .... Satisfy point 1 , − 2 in 1 − 2 = a + b + c .... 2 − 4 = a 2 2 + b 2 + c .... Satisfy point 2 , − 4 in 1 − 4 = 4 a + 2 b + c .... 3 − 4 = a 3 2 + b 3 + c .... Satisfy point 3 , − 4 in 1 − 4 = 9 a + 3 b + c − 4 = 3 3 a + b + c .... 4 Eliminate c from 2 and 3 gives 3 a + b = − 2 . Substitute 3 a + b = − 2 in 4 gives, c = 2 . Substitute c = 2 in 2 and 3 and simplifying gives, a + b = − 4 2 a + b = − 3 .... 5 Solving the set of equations 5 simultaneously gives, a = 1 and b = − 5 . Now, plugging the parameters a = − 1 , b = − 5 and c = 2 in standard form of parabola 1 gives the required equation of parabola in standard form y = − x 2 − 5 x + 2 .

The equation of the parabola in standard form which passes through the points 1 , − 2 , 2 , − 4 and 3 , − 4 . The equation of the parabola in standard form is y = − x 2 − 5 x + 2 . Given: The parabola passes through the points 1 , − 2 , 2 , − 4 and 3 , − 4 . Concept used: The equation of the parabola in standard form is y = a x 2 + b x + c , a ≠ 0 can be obtained by satisfying the given points in the parabola. Calculation: Consider the equation of the parabola in standard form is y = a x 2 + b x + c where a ≠ 0 . Since, the parabola passes through the points 1 , − 2 , 2 , − 4 and 3 , − 4 . Therefore, the three points 1 , − 2 , 2 , − 4 and 3 , − 4 will satisfy the parabola y = a x 2 + b x + c where a ≠ 0 . Satisfying the points 1 , − 2 , 2 , − 4 and 3 , − 4 in the parabola y = a x 2 + b x + c . y = a x 2 + b x + c .... 1 − 2 = a 1 2 + b 1 + c .... Satisfy point 1 , − 2 in 1 − 2 = a + b + c .... 2 − 4 = a 2 2 + b 2 + c .... Satisfy point 2 , − 4 in 1 − 4 = 4 a + 2 b + c .... 3 − 4 = a 3 2 + b 3 + c .... Satisfy point 3 , − 4 in 1 − 4 = 9 a + 3 b + c − 4 = 3 3 a + b + c .... 4 Eliminate c from 2 and 3 gives 3 a + b = − 2 . Substitute 3 a + b = − 2 in 4 gives, c = 2 . Substitute c = 2 in 2 and 3 and simplifying gives, a + b = − 4 2 a + b = − 3 .... 5 Solving the set of equations 5 simultaneously gives, a = 1 and b = − 5 . Now, plugging the parameters a = − 1 , b = − 5 and c = 2 in standard form of parabola 1 gives the required equation of parabola in standard form y = − x 2 − 5 x + 2 .

Solution Summary: The author explains that the equation of the parabola in standard form is y=-x2-5x+2.

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

15th Edition

ISBN: 9780133281163

Author: Prentice Hall

Publisher: Prentice Hall

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Expert Solution & Answer

Chapter 4.3, Problem 8PPSE

Solution

The equation of the parabola in standard form which passes through the points $1,−2,2,−4 and 3,−4$ .

The equation of the parabola in standard form is $y=−x2−5x+2$ .

Given:

The parabola passes through the points $1,−2,2,−4 and 3,−4$ .

Concept used:

The equation of the parabola in standard form is $y=ax2+bx+c, a≠0$ can be obtained by satisfying the given points in the parabola.

Calculation:

Consider the equation of the parabola in standard form is $y=ax2+bx+c$ where $a≠0$ .

Since, the parabola passes through the points $1,−2,2,−4 and 3,−4$ . Therefore, the three points $1,−2,2,−4 and 3,−4$ will satisfy the parabola $y=ax2+bx+c$ where $a≠0$ .

Satisfying the points $1,−2,2,−4 and 3,−4$ in the parabola $y=ax2+bx+c$ .

$y=ax2+bx+c ....1−2=a12+b1+c ....Satisfy point 1,−2 in 1−2=a+b+c ....2−4=a22+b2+c ....Satisfy point 2,−4 in 1−4=4a+2b+c ....3−4=a32+b3+c ....Satisfy point 3,−4 in 1−4=9a+3b+c−4=33a+b+c ....4$

Eliminate $c$ from $2 and 3$ gives $3a+b=−2$ .

Substitute $3a+b=−2$ in $4$ gives, $c=2$ .

Substitute $c=2$ in $2 and 3$ and simplifying gives,

$a+b=−42a+b=−3 ....5$

Solving the set of equations $5$ simultaneously gives, $a=1 and b=−5$ .

Now, plugging the parameters $a=−1, b=−5 and c=2$ in standard form of parabola $1$ gives the required equation of parabola in standard form $y=−x2−5x+2$ .

Chapter 4.3, Problem 7PPSE

Chapter 4.3, Problem 9PPSE

Chapter 4 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Ch. 4.1 - Prob. 1LC Ch. 4.1 - Prob. 2LC Ch. 4.1 - Prob. 3LC Ch. 4.1 - Prob. 4LC Ch. 4.1 - Prob. 5LC Ch. 4.1 - Prob. 6LC Ch. 4.1 - Prob. 7PPSE Ch. 4.1 - Prob. 8PPSE Ch. 4.1 - Prob. 9PPSE Ch. 4.1 - Prob. 10PPSE

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Prob. 4LC Ch. 4.7 - Prob. 5LC Ch. 4.7 - Prob. 6LC Ch. 4.7 - Prob. 7LC Ch. 4.7 - Prob. 8LC Ch. 4.7 - Prob. 9LC Ch. 4.7 - Prob. 10LC Ch. 4.7 - Prob. 11PPSE Ch. 4.7 - Prob. 12PPSE Ch. 4.7 - Prob. 13PPSE Ch. 4.7 - Prob. 14PPSE Ch. 4.7 - Prob. 15PPSE Ch. 4.7 - Prob. 16PPSE Ch. 4.7 - Prob. 17PPSE Ch. 4.7 - Prob. 18PPSE Ch. 4.7 - Prob. 19PPSE Ch. 4.7 - Prob. 20PPSE Ch. 4.7 - Prob. 21PPSE Ch. 4.7 - Prob. 22PPSE Ch. 4.7 - Prob. 23PPSE Ch. 4.7 - Prob. 24PPSE Ch. 4.7 - Prob. 25PPSE Ch. 4.7 - Prob. 26PPSE Ch. 4.7 - Prob. 27PPSE Ch. 4.7 - Prob. 28PPSE Ch. 4.7 - Prob. 29PPSE Ch. 4.7 - Prob. 30PPSE Ch. 4.7 - Prob. 31PPSE Ch. 4.7 - Prob. 32PPSE Ch. 4.7 - Prob. 33PPSE Ch. 4.7 - Prob. 34PPSE Ch. 4.7 - Prob. 35PPSE Ch. 4.7 - Prob. 36PPSE Ch. 4.7 - Prob. 37PPSE Ch. 4.7 - Prob. 38PPSE Ch. 4.7 - Prob. 39PPSE Ch. 4.7 - Prob. 40PPSE Ch. 4.7 - Prob. 41PPSE Ch. 4.7 - Prob. 42PPSE Ch. 4.7 - Prob. 43PPSE Ch. 4.7 - Prob. 44PPSE Ch. 4.7 - Prob. 45PPSE Ch. 4.7 - Prob. 46PPSE Ch. 4.7 - Prob. 47PPSE Ch. 4.7 - Prob. 48PPSE Ch. 4.7 - Prob. 49PPSE Ch. 4.7 - Prob. 50PPSE Ch. 4.7 - Prob. 51PPSE Ch. 4.7 - Prob. 52PPSE Ch. 4.7 - Prob. 53PPSE Ch. 4.7 - Prob. 54PPSE Ch. 4.7 - Prob. 55PPSE Ch. 4.7 - Prob. 56PPSE Ch. 4.7 - Prob. 57PPSE Ch. 4.7 - Prob. 58PPSE Ch. 4.7 - Prob. 59PPSE Ch. 4.7 - Prob. 60PPSE Ch. 4.7 - Prob. 61PPSE Ch. 4.7 - Prob. 62PPSE Ch. 4.7 - Prob. 63PPSE Ch. 4.7 - Prob. 64PPSE Ch. 4.7 - Prob. 65PPSE Ch. 4.7 - Prob. 66PPSE Ch. 4.7 - Prob. 67PPSE Ch. 4.7 - Prob. 68PPSE Ch. 4.7 - Prob. 69PPSE Ch. 4.7 - Prob. 70PPSE Ch. 4.7 - Prob. 71PPSE Ch. 4.7 - Prob. 72PPSE Ch. 4.7 - Prob. 73PPSE Ch. 4.7 - Prob. 74PPSE Ch. 4.7 - Prob. 75PPSE Ch. 4.7 - Prob. 76PPSE Ch. 4.7 - Prob. 77PPSE Ch. 4.7 - Prob. 78PPSE Ch. 4.7 - Prob. 79PPSE Ch. 4.7 - Prob. 80PPSE Ch. 4.7 - Prob. 81PPSE Ch. 4.7 - Prob. 82PPSE Ch. 4.7 - Prob. 83PPSE Ch. 4.7 - Prob. 84PPSE Ch. 4.7 - Prob. 85PPSE Ch. 4.7 - Prob. 86PPSE Ch. 4.7 - Prob. 87PPSE Ch. 4.7 - Prob. 88PPSE Ch. 4.7 - Prob. 89PPSE Ch. 4.7 - Prob. 90PPSE Ch. 4.8 - Prob. 1LC Ch. 4.8 - Prob. 2LC Ch. 4.8 - Prob. 3LC Ch. 4.8 - Prob. 4LC Ch. 4.8 - Prob. 5LC Ch. 4.8 - Prob. 6LC Ch. 4.8 - Prob. 7LC Ch. 4.8 - Prob. 8PPSE Ch. 4.8 - Prob. 9PPSE Ch. 4.8 - Prob. 10PPSE Ch. 4.8 - Prob. 11PPSE Ch. 4.8 - Prob. 12PPSE Ch. 4.8 - Prob. 13PPSE Ch. 4.8 - Prob. 14PPSE Ch. 4.8 - Prob. 15PPSE Ch. 4.8 - Prob. 16PPSE Ch. 4.8 - Prob. 17PPSE Ch. 4.8 - Prob. 18PPSE Ch. 4.8 - Prob. 19PPSE Ch. 4.8 - Prob. 20PPSE Ch. 4.8 - Prob. 21PPSE Ch. 4.8 - Prob. 22PPSE Ch. 4.8 - Prob. 23PPSE Ch. 4.8 - Prob. 24PPSE Ch. 4.8 - Prob. 25PPSE Ch. 4.8 - Prob. 26PPSE Ch. 4.8 - Prob. 27PPSE Ch. 4.8 - Prob. 28PPSE Ch. 4.8 - Prob. 29PPSE Ch. 4.8 - Prob. 30PPSE Ch. 4.8 - Prob. 31PPSE Ch. 4.8 - Prob. 32PPSE Ch. 4.8 - Prob. 33PPSE Ch. 4.8 - Prob. 34PPSE Ch. 4.8 - Prob. 35PPSE Ch. 4.8 - Prob. 36PPSE Ch. 4.8 - Prob. 37PPSE Ch. 4.8 - Prob. 38PPSE Ch. 4.8 - Prob. 39PPSE Ch. 4.8 - Prob. 40PPSE Ch. 4.8 - Prob. 41PPSE Ch. 4.8 - Prob. 42PPSE Ch. 4.8 - Prob. 43PPSE Ch. 4.8 - Prob. 44PPSE Ch. 4.8 - Prob. 45PPSE Ch. 4.8 - Prob. 46PPSE Ch. 4.8 - Prob. 47PPSE Ch. 4.8 - Prob. 48PPSE Ch. 4.8 - Prob. 49PPSE Ch. 4.8 - Prob. 50PPSE Ch. 4.8 - Prob. 51PPSE Ch. 4.8 - Prob. 52PPSE Ch. 4.8 - Prob. 53PPSE Ch. 4.8 - Prob. 54PPSE Ch. 4.8 - Prob. 55PPSE Ch. 4.8 - Prob. 56PPSE Ch. 4.8 - Prob. 57PPSE Ch. 4.8 - Prob. 58PPSE Ch. 4.8 - Prob. 59PPSE Ch. 4.8 - Prob. 60PPSE Ch. 4.8 - Prob. 61PPSE Ch. 4.8 - Prob. 62PPSE Ch. 4.8 - Prob. 63PPSE Ch. 4.8 - Prob. 64PPSE Ch. 4.8 - Prob. 65PPSE Ch. 4.8 - Prob. 66PPSE Ch. 4.8 - Prob. 67PPSE Ch. 4.8 - Prob. 68PPSE Ch. 4.8 - Prob. 69PPSE Ch. 4.8 - Prob. 70PPSE Ch. 4.8 - Prob. 71PPSE Ch. 4.8 - Prob. 72PPSE Ch. 4.8 - Prob. 73PPSE Ch. 4.8 - Prob. 74PPSE Ch. 4.8 - Prob. 75PPSE Ch. 4.8 - Prob. 76PPSE Ch. 4.8 - Prob. 77PPSE Ch. 4.8 - Prob. 78PPSE Ch. 4.8 - Prob. 79PPSE Ch. 4.8 - Prob. 80PPSE Ch. 4.8 - Prob. 81PPSE Ch. 4.8 - Prob. 82PPSE Ch. 4.8 - Prob. 83PPSE Ch. 4.8 - Prob. 84PPSE Ch. 4.8 - Prob. 85PPSE Ch. 4.8 - Prob. 86PPSE Ch. 4.8 - Prob. 87PPSE Ch. 4.8 - Prob. 88PPSE Ch. 4.8 - Prob. 89PPSE Ch. 4.9 - Prob. 1A Ch. 4.9 - Prob. 2A Ch. 4.9 - Prob. 3A Ch. 4.9 - Prob. 4A Ch. 4.9 - Prob. 5E Ch. 4.9 - Prob. 6E Ch. 4.9 - Prob. 7E Ch. 4.9 - Prob. 8E Ch. 4.9 - Prob. 9E Ch. 4.9 - Prob. 1LC Ch. 4.9 - Prob. 2LC Ch. 4.9 - Prob. 3LC Ch. 4.9 - Prob. 4LC Ch. 4.9 - Prob. 5LC Ch. 4.9 - Prob. 6LC Ch. 4.9 - Prob. 7LC Ch. 4.9 - Prob. 8PPSE Ch. 4.9 - Prob. 9PPSE Ch. 4.9 - Prob. 10PPSE Ch. 4.9 - Prob. 11PPSE Ch. 4.9 - Prob. 12PPSE Ch. 4.9 - Prob. 13PPSE Ch. 4.9 - Prob. 14PPSE Ch. 4.9 - Prob. 15PPSE Ch. 4.9 - Prob. 16PPSE Ch. 4.9 - Prob. 17PPSE Ch. 4.9 - Prob. 18PPSE Ch. 4.9 - Prob. 19PPSE Ch. 4.9 - Prob. 20PPSE Ch. 4.9 - Prob. 21PPSE Ch. 4.9 - Prob. 22PPSE Ch. 4.9 - Prob. 23PPSE Ch. 4.9 - Prob. 24PPSE Ch. 4.9 - Prob. 25PPSE Ch. 4.9 - Prob. 26PPSE Ch. 4.9 - Prob. 27PPSE Ch. 4.9 - Prob. 28PPSE Ch. 4.9 - Prob. 29PPSE Ch. 4.9 - Prob. 30PPSE Ch. 4.9 - Prob. 31PPSE Ch. 4.9 - Prob. 32PPSE Ch. 4.9 - Prob. 33PPSE Ch. 4.9 - Prob. 34PPSE Ch. 4.9 - Prob. 35PPSE Ch. 4.9 - Prob. 36PPSE Ch. 4.9 - Prob. 37PPSE Ch. 4.9 - Prob. 38PPSE Ch. 4.9 - Prob. 39PPSE Ch. 4.9 - Prob. 40PPSE Ch. 4.9 - Prob. 41PPSE Ch. 4.9 - Prob. 42PPSE Ch. 4.9 - Prob. 43PPSE Ch. 4.9 - Prob. 44PPSE Ch. 4.9 - Prob. 45PPSE Ch. 4.9 - Prob. 46PPSE Ch. 4.9 - Prob. 47PPSE Ch. 4.9 - Prob. 48PPSE Ch. 4.9 - Prob. 49PPSE Ch. 4.9 - Prob. 50PPSE Ch. 4.9 - Prob. 51PPSE Ch. 4.9 - Prob. 52PPSE Ch. 4.9 - Prob. 53PPSE Ch. 4.9 - Prob. 54PPSE Ch. 4.9 - Prob. 55PPSE Ch. 4.9 - Prob. 56PPSE Ch. 4.9 - Prob. 57PPSE Ch. 4.9 - Prob. 58PPSE Ch. 4.9 - Prob. 59PPSE Ch. 4.9 - Prob. 60PPSE Ch. 4.9 - Prob. 61PPSE Ch. 4.9 - Prob. 62PPSE Ch. 4.9 - Prob. 63PPSE Ch. 4.9 - Prob. 64PPSE Ch. 4.9 - Prob. 65PPSE Ch. 4.9 - Prob. 66PPSE Ch. 4.9 - Prob. 67PPSE Ch. 4.9 - Prob. 68PPSE Ch. 4.9 - Prob. 69PPSE Ch. 4.9 - Prob. 70PPSE Ch. 4.9 - Prob. 71PPSE Ch. 4.9 - Prob. 72PPSE Ch. 4.9 - Prob. 73PPSE Ch. 4.9 - Prob. 74PPSE Ch. 4.9 - Prob. 75PPSE Ch. 4.9 - Prob. 76PPSE Ch. 4.9 - Prob. 77PPSE Ch. 4.9 - Prob. 1.1E Ch. 4.9 - Prob. 1.2E Ch. 4.9 - Prob. 1.3E Ch. 4.9 - Prob. 1.4E Ch. 4.9 - Prob. 1.5E Ch. 4 - Prob. 1GR Ch. 4 - Prob. 2GR Ch. 4 - Prob. 3GR Ch. 4 - Prob. 4GR Ch. 4 - Prob. 5GR Ch. 4 - Prob. 6GR Ch. 4 - Prob. 7GR Ch. 4 - Prob. 8GR Ch. 4 - Prob. 9GR Ch. 4 - Prob. 10GR Ch. 4 - Prob. 11GR Ch. 4 - Prob. 12GR Ch. 4 - Prob. 13GR Ch. 4 - Prob. 1MCQ Ch. 4 - Prob. 2MCQ Ch. 4 - Prob. 3MCQ Ch. 4 - Prob. 4MCQ Ch. 4 - Prob. 5MCQ Ch. 4 - Prob. 6MCQ Ch. 4 - Prob. 7MCQ Ch. 4 - Prob. 8MCQ Ch. 4 - Prob. 9MCQ Ch. 4 - Prob. 10MCQ Ch. 4 - Prob. 11MCQ Ch. 4 - Prob. 12MCQ Ch. 4 - Prob. 13MCQ Ch. 4 - Prob. 14MCQ Ch. 4 - Prob. 15MCQ Ch. 4 - Prob. 16MCQ Ch. 4 - Prob. 17MCQ Ch. 4 - Prob. 18MCQ Ch. 4 - Prob. 19MCQ Ch. 4 - Prob. 20MCQ Ch. 4 - Prob. 21MCQ Ch. 4 - Prob. 22MCQ Ch. 4 - Prob. 23MCQ Ch. 4 - Prob. 24MCQ Ch. 4 - Prob. 25MCQ Ch. 4 - Prob. 26MCQ Ch. 4 - Prob. 1CV Ch. 4 - Prob. 2CV Ch. 4 - Prob. 3CV Ch. 4 - Prob. 4E Ch. 4 - Prob. 5E Ch. 4 - Prob. 6E Ch. 4 - Prob. 7E Ch. 4 - Prob. 8E Ch. 4 - Prob. 9E Ch. 4 - Prob. 10E Ch. 4 - Prob. 11E Ch. 4 - Prob. 12E Ch. 4 - Prob. 13E Ch. 4 - Prob. 14E Ch. 4 - Prob. 15E Ch. 4 - Prob. 16E Ch. 4 - Prob. 17E Ch. 4 - Prob. 18E Ch. 4 - Prob. 19E Ch. 4 - Prob. 20E Ch. 4 - Prob. 21E Ch. 4 - Prob. 22E Ch. 4 - Prob. 23E Ch. 4 - Prob. 24E Ch. 4 - Prob. 25E Ch. 4 - Prob. 26E Ch. 4 - Prob. 27E Ch. 4 - Prob. 28E Ch. 4 - Prob. 29E Ch. 4 - Prob. 30E Ch. 4 - Prob. 31E Ch. 4 - Prob. 32E Ch. 4 - Prob. 33E Ch. 4 - Prob. 34E Ch. 4 - Prob. 35E Ch. 4 - Prob. 36E Ch. 4 - Prob. 37E Ch. 4 - Prob. 38E Ch. 4 - Prob. 39E Ch. 4 - Prob. 40E Ch. 4 - Prob. 41E Ch. 4 - Prob. 42E Ch. 4 - Prob. 43E Ch. 4 - Prob. 44E Ch. 4 - Prob. 45E Ch. 4 - Prob. 46E Ch. 4 - Prob. 47E Ch. 4 - Prob. 48E Ch. 4 - Prob. 49E Ch. 4 - Prob. 50E Ch. 4 - Prob. 51E Ch. 4 - Prob. 52E Ch. 4 - Prob. 53E Ch. 4 - Prob. 54E Ch. 4 - Prob. 55E Ch. 4 - Prob. 56E Ch. 4 - Prob. 57E Ch. 4 - Prob. 58E Ch. 4 - Prob. 59E Ch. 4 - Prob. 60E Ch. 4 - Prob. 61E Ch. 4 - Prob. 62E Ch. 4 - Prob. 63E Ch. 4 - Prob. 64E Ch. 4 - Prob. 65E Ch. 4 - Prob. 66E Ch. 4 - Prob. 67E Ch. 4 - Prob. 68E Ch. 4 - Prob. 69E Ch. 4 - Prob. 70E Ch. 4 - Prob. 71E Ch. 4 - Prob. 72E Ch. 4 - Prob. 73E Ch. 4 - Prob. 74E Ch. 4 - Prob. 75E Ch. 4 - Prob. 76E Ch. 4 - Prob. 77E Ch. 4 - Prob. 78E Ch. 4 - Prob. 79E Ch. 4 - Prob. 80E Ch. 4 - Prob. 81E Ch. 4 - Prob. 82E Ch. 4 - Prob. 83E Ch. 4 - Prob. 84E Ch. 4 - Prob. 85E Ch. 4 - Prob. 86E Ch. 4 - Prob. 87E Ch. 4 - Prob. 88E Ch. 4 - Prob. 89E Ch. 4 - Prob. 1CT Ch. 4 - Prob. 2CT Ch. 4 - Prob. 3CT Ch. 4 - Prob. 4CT Ch. 4 - Prob. 5CT Ch. 4 - Prob. 6CT Ch. 4 - Prob. 7CT Ch. 4 - Prob. 8CT Ch. 4 - Prob. 9CT Ch. 4 - Prob. 10CT Ch. 4 - Prob. 11CT Ch. 4 - Prob. 12CT Ch. 4 - Prob. 13CT Ch. 4 - Prob. 14CT Ch. 4 - Prob. 15CT Ch. 4 - Prob. 16CT Ch. 4 - Prob. 17CT Ch. 4 - Prob. 18CT Ch. 4 - Prob. 19CT Ch. 4 - Prob. 20CT Ch. 4 - Prob. 21CT Ch. 4 - Prob. 22CT Ch. 4 - Prob. 23CT Ch. 4 - Prob. 24CT Ch. 4 - Prob. 25CT Ch. 4 - Prob. 26CT Ch. 4 - Prob. 27CT Ch. 4 - Prob. 1CCSR Ch. 4 - Prob. 2CCSR Ch. 4 - Prob. 3CCSR Ch. 4 - Prob. 4CCSR Ch. 4 - Prob. 5CCSR Ch. 4 - Prob. 6CCSR Ch. 4 - Prob. 7CCSR Ch. 4 - Prob. 8CCSR Ch. 4 - Prob. 9CCSR Ch. 4 - Prob. 10CCSR Ch. 4 - Prob. 11CCSR Ch. 4 - Prob. 12CCSR Ch. 4 - Prob. 13CCSR Ch. 4 - Prob. 14CCSR Ch. 4 - Prob. 15CCSR Ch. 4 - Prob. 16CCSR Ch. 4 - Prob. 17CCSR Ch. 4 - Prob. 18CCSR Ch. 4 - Prob. 19CCSR Ch. 4 - Prob. 20CCSR Ch. 4 - Prob. 21CCSR Ch. 4 - Prob. 22CCSR Ch. 4 - Prob. 23CCSR Ch. 4 - Prob. 24CCSR Ch. 4 - Prob. 25CCSR Ch. 4 - Prob. 26CCSR Ch. 4 - Prob. 27CCSR Ch. 4 - Prob. 28CCSR Ch. 4 - Prob. 29CCSR Ch. 4 - Prob. 30CCSR Ch. 4 - Prob. 31CCSR

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