Answer:
C. The greatest common factor was not factored out correctly from second group
Step-by-step explanation:
The following lines show the process of factorization by using common factor.
<u>Line 1:</u>
In line 1, the equation is given and is grouped from which common factors can be taken. This is completely fine.
![(3x^{2}+xy^{2}) +(-3xy-y^{3} )=0](https://tex.z-dn.net/?f=%283x%5E%7B2%7D%2Bxy%5E%7B2%7D%29%20%2B%28-3xy-y%5E%7B3%7D%20%29%3D0)
The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.
<u>Line 2:</u>
In line 2, the common terms are taken out from groups. The common term x is taken from group 1 which is fine. In second group the common term -y is taken out, which is fine but it was not factored out correctly. The correct factorization would have been:
![x(3x+y^{2}) -y(3x +y^{2} )=0](https://tex.z-dn.net/?f=x%283x%2By%5E%7B2%7D%29%20-y%283x%20%2By%5E%7B2%7D%20%29%3D0)
which is different from what is given in line 2.
Options:
A. The grouping is correct in line 1. So this option is does not hold.
B. Common factor was factored correctly from group 1. So this option does not hold.
C. Common factor was not factored correctly from group 2. So this option holds and is correct. Thus we choose this option as correct answer.
D. There is a mistake. So this option is also not correct.
Answer:
-8
Step-by-step explanation:
-4 both sides & 16-4 is 12.. -3/2x equals 12 so to solve for x, you would multiply 2 by both sides. You end w -3x equals 24. You then divide -3 both sides and 24/-3 is -8... hopee that helps? :)
Answer:
ok so the probility of gettting one white fish is
13/23
and if we take out one white fish the problity is
12/22
so we just multiply
12/22*13/23=0.30830039525
so the problity is 0.30 if you choose two fish you will get white for both
Answer:
sqrt(360)
Step-by-step explanation:
sqrt(360)=sqrt(36*10)=sqrt(36)*sqrt(10)=6*sqrt(10)
<span>A linear pair is a pair of adjacent angles formed when two lines intersect.
Linear pair angles add up to 180 degrees because they lie on a straight line.
Let x = smaller angle
Let 5x - 18 = bigger angle
x + 5x -18 = 180
6x = 198
x = 198/6
x = 33
The smaller angle is 33 degrees and the bigger is 147 degrees</span>