If 2 sets are disjoint means they have not any common element.
Draw a rectangle & inscribe inside this rectangle 2 circles that do not intersect.
cercle₁ ∩ cercle₂ =Ф.
Their complement would be the part of the rectangle - the 2 circles
First, make a equation in which r= red and b=blue.
So, since in the first box it has 4 red models and one blue model equaling 12,
the first equation looks like 4r+b=12.
The second equation looks like 2r+b=8.
What you would do is try and first solve for r by getting rid of b.
Since both equation has a positive b, you would make one equation have a negative b by multiplying the whole equation by -1.
-1*(2r+b=8)= -2r-b=-8
Add.
4r+b=12
+(-2r-b=-8)
2r=4
r=2
Then, you plug in 2 for the r for any of the original equations.
4(2)+b=12
8+b=12
b=4
or
2(2)+b=8
4+b=8
b=4
So, the red models weigh 2 pounds while the blue models weigh 4.
Answer:
Step-by-step explanation:
we know that
<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.
To calculate combinations, we will use the formula
where
n represents the total number of items
r represents the number of items being chosen at a time.
In this problem
substitute
simplify
Answer:
y x (2x +y) x (7x +y)
Step-by-step explanation:
14x^2y + 9xy^2 +y^3
(Factor the expression)
y x (14x^2 +9xy +y^2)
(Rewrite the expression)
y x (14x^2 + 7xy +2xy +y^2)
(Factor the expression)
y x (7x x(2x +y) + y x (2x +y) )
(Factor the expression)
y x (2x +y) x (7x +y)
:))
If you list all the common factors, (1,2,3,6), you see the highest common factor is 6
