Answer:
Step-by-step explanation:
4) x² - 14x + 48
We would find two numbers such that their sum or difference is -14x and their product is 48x².
The two numbers are - 6x and - 8x. Therefore,
x² - 6x - 8x + 48
x(x - 6) - 8(x - 6)
(x - 8)(x - 6)
5) 2x² + 21x - 11
We would find two numbers such that their sum or difference is 21x and their product is - 22x².
The two numbers are 22x and - x. Therefore,
2x² + 22x - x - 11
2x(x + 11) - 1(x + 11)
(2x - 1)(x + 11)
6) 5a² - 125
5 is a common factor. So we would factorize 5. It becomes
5(a² - 25)
Simplifying further, it becomes
5(a + 5)(a - 5)
22 houses can be cleaned in 11 hours.
Step-by-step explanation:
It is given that;
6 hours = 12 houses cleaned
1 hour =
1 hour = 2 houses cleaned
In 1 hour, 2 houses can be cleaned, therefore,
11 hours = Time*houses cleaned in one hour
11 hours = 11*2 =22 houses cleaned
22 houses can be cleaned in 11 hours.
Keywords: unit rate, multiplication
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Step-by-step explanation:
we divide both sides by 4 to single out the X
(4X) / 4 = (2/3)/4
simplify
X = 2/12
567/71 because passengers/(train cars/passengers) = train cars
71 x 7 = 497 (not enough)
71 x 8 = 568 (enough)
Answer: 8 train cars
Negative multiplied by a positive is a negative
(good thing happening to a bad guy is bad)
the answer is B