Answer:
y=2
x=3
Step-by-step explanation:
make x - y = 1 into x= y + 1
put that wherever x is in the other equation
so y + 1 + 2y =7. then combine like terms into 3y =6. then divide 6 by 3 so you get y = 2
then substitute 2 into the y in the equation x - y = 1 and you get x = 3
Answer:
The range is -6, 4 , 12.
Step-by-step explanation:
If the domain is -4,0,5, x can only be -4 or 0 or 5.
Substitute each of these x-values into the equation 12x+6y=24. Then isolate to find the possible values of x.
Sub x for -4
12x+6y=24
12(-4)+6y=24
-48+6y=24
6y = 72
y = 12
Sub x for 0
12x+6y=24
12(0)+6y=24
6y = 24
y = 4
Sub x for 5
12x+6y=24
12(5)+6y=24
60 + 6y = 24
6y = -36
y = -6
The possible values of y are -6, 4 ,12 which is the range.
In set notation: R = {y|y=-6,4,12}
Answer:
Hey there!
There are four 1/4 inch long sections in 1 inch. Thus, in four inches there would be 16 of those sections.
16+1=17
Thus, in 4 1/4 inches of rope, there are 17 sections of 1/4 inches.
Hope this helps :)
<h3>
Answer: 32</h3>
Explanation:
If a set has n items inside it, then there will be 2^n different subsets. This includes the original set itself (since any set is a subset of itself).
Here we have n = 5 items in the given set, so there are 2^5 = 32 different subsets.
For more information, I recommend looking up the term "power set".
