"a "and "b^2-4ac" must be negetive
Answer:
The number of carpets cleaned by new company per week is 249
Step-by-step explanation:
Let us assume :
The number of carpets cleaned by old company in 1 week = m
So, the number of carpets cleaned by new company in 1 week
= 3 x ( Number of carpets cleaned by old company)
= 3 (m) = 3 m
Total carpet cleaned altogether in a week = 332
So, Total Carpets cleaned by both companies in 1 week
= Number of carpets cleaned by ( Old + New) company in 1 week.
= m + 3 m = 4 m
⇒ 4 m = 332
or, m = 332 / 4 = 83 , or m = 83
Hence number of carpets cleaned by old company per week = m = 83
The number of carpets cleaned by new company per week
= 3 m = 3 x 83= 249
Answer:
Total number of puppies in the litter = 11
Step-by-step explanation:
Let the number of yellow puppies in the litter = y
And the number of black puppies in the litter = b
If there was one less black puppy, ratio of yellow to black puppies = 

2(b - 1) = 3y
3y - 2b = -2 -----(1)
If there was one more black puppy, ratio of yellow puppies to black puppies = 

2y = b + 1
2y - b = 1 -------(2)
Equation (1) - 2× equation (2)
(3y - 2b) - 2(2y - b) = -2 - 2
3y - 4y - 2b + 2b = -4
y = 4
From equation (1),
3×4 - 2b = -2
12 - 2b = -2
-2b = -14
b = 7
Total number of puppies in the litter = 7 + 4 = 11
6x² + 48x + 96
6(x² + 8x + 16)
6(x + 4)(x + 4) is your polynomial fully factored so I'm guessing the binomial you're looking for is (x + 4).