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Core Connections Algebra 1, 2013
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Core Connections Algebra 1, 2013 View details
3. Section 11.3
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Exercise 136 Page 569

Practice makes perfect
a To create the generic rectangle, we will let each parentheses represent a side of the rectangle.

By multiplying the dimensions of the four rectangles, we can determine their individual areas.

The sum of the individual rectangles equals the sum of the bigger rectangle.
(5m-1)(m+2)=5m^2+10m+(- m)+(- 2)
RemovePar

Remove parentheses

(5m-1)(m+2)=5m^2+10m-m-2
SubTerm

Subtract term

(5m-1)(m+2)=5m^2+9m-2
b To create the generic rectangle, we will let each parentheses represent the sides of a rectangle.

By multiplying the dimensions of the four rectangles, we can determine their individual areas.

The sum of the individual rectangles equals the sum of the bigger rectangle.
(6-x)(2+x)=12+6x+(- 2x)+(- x^2)
RemovePar

Remove parentheses

(6-x)(2+x)=12+6x-2x-x^2
SubTerm

Subtract term

(6-x)(2+x)=12+4x-x^2
c Notice that we can rewrite this expression as two identical parentheses.

(5x-y)^2=(5x-y)(5x-y)

To create the generic rectangle, we will let each parentheses represent the sides of a rectangle.

By multiplying the dimensions of the four rectangles, we can determine their individual areas.

The sum of the individual rectangles equals the sum of the bigger rectangle.
(5x-y)^2=25x^2+(- 5xy)+(- 5xy)+y^2
RemovePar

Remove parentheses

(5x-y)^2=25x^2-5xy-5xy+y^2
SubTerm

Subtract term

(5x-y)^2=25x^2-10xy+y^2
d Note that we have one factor outside of the parentheses with three terms. This means the generic rectangle will be a 1* 3 rectangle

By multiplying the dimensions of the three rectangles, we can determine their individual areas.

The sum of the individual rectangles equals the sum of the bigger rectangle.
3x(2x-5y+4)=6x^2+(- 15xy)+12x
RemovePar

Remove parentheses

3x(2x-5y+4)=6x^2-15xy+12x
Subchapter links expand_more
arrow_right 11.3.1 Using a Best-Fit Line to Make a Prediction p.552-553
75
76
77
Using a Best-Fit Line to Make a Prediction 78 (Page 552)
79
Using a Best-Fit Line to Make a Prediction 80 (Page 552)
81
82
Using a Best-Fit Line to Make a Prediction 83 (Page 553)
Using a Best-Fit Line to Make a Prediction 84 (Page 553)
85
arrow_right 11.3.2 Relation Treasure Hunt p.555-556
Relation Treasure Hunt 88 (Page 555)
89
Relation Treasure Hunt 90 (Page 556)
91
Relation Treasure Hunt 92 (Page 556)
Relation Treasure Hunt 93 (Page 556)
arrow_right 11.3.3 Investigating a Complex Function p.558-559
98
Investigating a Complex Function 99 (Page 558)
Investigating a Complex Function 100 (Page 558)
Investigating a Complex Function 101 (Page 558)
102
Investigating a Complex Function 103 (Page 559)
arrow_right 11.3.4 Using Algebra to Find a Maximum p.562-564
Using Algebra to Find a Maximum 110 (Page 562)
111
Using Algebra to Find a Maximum 112 (Page 562)
113
114
Using Algebra to Find a Maximum 115 (Page 563)
Using Algebra to Find a Maximum 116 (Page 563)
Using Algebra to Find a Maximum 117 (Page 563)
Using Algebra to Find a Maximum 118 (Page 563)
Using Algebra to Find a Maximum 119 (Page 563)
Using Algebra to Find a Maximum 120 (Page 564)
Using Algebra to Find a Maximum 121 (Page 564)
arrow_right 11.3.5 Exponential Functions and Linear Inequalities p.567-569
Exponential Functions and Linear Inequalities 126 (Page 567)
Exponential Functions and Linear Inequalities 127 (Page 567)
Exponential Functions and Linear Inequalities 128 (Page 568)
Exponential Functions and Linear Inequalities 129 (Page 568)
130
131
132
Exponential Functions and Linear Inequalities 133 (Page 568)
134
135
Exponential Functions and Linear Inequalities 136 (Page 569)
Exponential Functions and Linear Inequalities 137 (Page 569)