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aleksklad [387]
3 years ago
10

Factor Completely: 25x2 - 64 A) 5(x - 8)(x + 8) B) 5(x - 8)(x - 8) C) (5x - 8)(5x + 8) D) (25x - 1)(x + 64)

Mathematics
1 answer:
ZanzabumX [31]3 years ago
4 0

Rewrite it in the form a^2 - b^2, where a = 5x and b = 8

(5x)^2 - 8^2

Use the Difference of Squares; a^2 - b^2 = (a + b)(a - b)

<u>= C. (5x - 8)(5x + 8)</u>

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Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li
vladimir2022 [97]
As the question states, let r be the number of hours worked at the restaurant, and y be the number of hours of yard work. 
We know that she can only work a maximum of 15 hours per work total, and that at she must work at least 5 hours in the restaurant. 
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r + y ≤ 15
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We also know that she wants to earn at least 120 dollars, earning $8/hr in the restaurant and $12/hr in the yard:
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What is the maximum of hours Lia can work in the restaurant and still make at leas 120 hours? 
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The maximum number of hours she can work in the restaurant is therefore 15 hours

What is the maximum amount of money Lia can earn in a week? 
Lia has to work a minimum of 5 hours in the restaurant. She makes more money doing yard work, so she should devote the rest of her available work hours to yard work.
That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard. 
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The most she can make is 160 dollars, working 5 hours in the restaurant and 10 hours in the yard
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