Answer:
Option (4)
Step-by-step explanation:
D = {x| x is a whole number}
D = {1, 2, 3, 4..........}
E = {x | x is a perfect square between 1 and 9}
E = {4}
F = {x | x is an even number greater than 2 and less than 9}
F = {2, 4, 6, 8}
(E ∩ F) = Set of common numbers of E and F
= {4}
D ∩ (E ∩ F} = Set of common numbers in the sets of D and (E ∩ F)
= {4}
Therefore, Option (4) will be the answer.
There are 49 ways to make 50 cent in change
Answer:
Step-by-step explanation:
Number 2 first:
See the graph below for a hint. (Do you know how to use Desmos ?)
factoring seems to make no sense for 
but "guess and check" seems to work. I tried 4 for x, but that proved false. 3 for x made sense. You get 
so -9 +6 +4 = 1 is true. So (3,1)
x+y=4 becomes 3 + 1 = 4 Also true
According to the graph, (0,4) would also be a solution, so (3,1) and (0,4)
Part 1:
Factor 
as 
set each equal to 0 and get
x = -3 and x = -1 so the solutions seem be (-3,0) and (-1,0)
y = 2x + 6 factors to 2(x +3)
(-1,0) doesn't work!
But Desmos shows something else as a solution set for both:
(1,8)
y=2x+6 substitute values 8=2(1) +6 8=2+6 True
y = . Substitute values 
8= 1+4+3 True
Answer:
k=2
Step-by-step explanation:
Open parenthesis:
6k-12=3k-6
Put all like terms on one side:
6k-3k=-6+12
Simplify:
3k=6
k=2
<em>~Stay golden~ :)</em>
