<span>Just list all elements that belong both to A and to B
A ∩ B = {6,12}</span>
Answer:
See Explanation
Step-by-step explanation:

Let cost of 1 box of red pen = x
Let cost of 1 box of black pen = y
Gaga bought 5 red box and her sister 4 black box then total cost is given by
5x+4y
Given that total cost was $44
so equation will be 5x+4y=44...(i)
After exchange
Gaga= 4 red box + 1 Black box
Sister = 1 red box + 3 Black box
then cost for Gaga = 4x+1y
cost for sister = 1x+3y
Given that cost for both after exchange is same so we get
4x+1y = 1x+3y
or 4x-1x = 3y-1y
or 3x = 2y
or 3x/2=y ...(ii)
plug (ii) into (i)
5x+4y=44
5x+4(3x/2)=44
5x+12x/2=44
5x+6x=44
11x=44
x=4
Now plug value of x into (ii)
y=3x/2=3*4/2=12/2=6
Hence cost of 1 box of red pen = $4
And cost of 1 box of black pen = $6
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If you want to get solution without solving both equations then just graph both equations and find the intersection point.
You will see that graph intersect at (4,6) which gives x=4, y=6
The answer to this question is 36cm.
Answer:
a = 9, b = 3
Step-by-step explanation:
The exponential function is
y = a 
Find a and b by using the points it passes through
Using (0, 9 ) then
9 = a
(
= 1 )
a = 9
y = 9 
Using (3, 243 ) then
243 = 9b³ ( divide both sides by 9 )
27 = b³ ( take the cube root of both sides )
b =
= 3
y = 9
← exponential equation