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1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding height in feet. What is the maximum height of the firefighters stream? How far would he be from that max height? 2. At Best Buy, they sell 42 copies of Transformers when they charge $20 per copy. They conclude that for each $2 decrease in price they will sell 4 more copies. What should they charge to maximize revenue? What is their maximum revenue? How many copies would they sell? Algebra II 1
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1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

Jan 04, 2016

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Page 1: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

1. In firefighting, a good water stream can be modeled by y= - 0.003x2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding height in feet. What is the maximum height of the firefighters stream? How far would he be from that max height?

2. At Best Buy, they sell 42 copies of Transformers when they charge $20 per copy. They conclude that for each $2 decrease in price they will sell 4 more copies. What should they charge to maximize revenue? What is their maximum revenue? How many copies would they sell?

Algebra II 1

Page 2: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

Simplifying Square Roots

Algebra II

Page 3: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

radical symbol

the radical expression

x is called the radicandthe radicand is simply what is

“underneath” the radical symbol

Algebra II 3

Page 4: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

For all real numbers a and b, the product property of radicals is:

For all real numbers a and b, the quotient property of radicals is:

**Goes both ways!**separate or put together

Algebra II 4

Page 5: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

12 = 122 = 432 = 9

42 = 1652 = 2562 = 3672 = 4982 = 6492 = 81

102 = 100112 = 121122 = 144132 = 169142 = 196152 = 225162 = 256172 = 289182 = 324

Algebra II 5

Page 6: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

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Algebra II 6

Page 7: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

3 4.

Algebra II 7

Page 8: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

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Algebra II 8

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Algebra II 9

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Page 10: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

Algebra II 10

Page 11: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

Algebra II 11

Page 12: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

You can not have a √ in the denominator

Multiply both the numerator and denominator by radical from the denominator.

Algebra II 12

Page 13: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

Algebra II 13

Page 14: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

Algebra II 14

Page 15: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

Algebra II 15

Page 16: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

Algebra II 16

Page 17: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

Algebra II 17

Page 18: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

Algebra II 18

Page 19: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

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Algebra II 19

Page 20: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

They must have like radicals to be able to add and subtract!

SIMPLIFY FIRST!!

20Algebra II

Page 21: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

21Algebra II

Page 22: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

22Algebra II

Page 23: 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding.

23Algebra II

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24Algebra II