Answer: 
Step-by-step explanation:
The formula for finding the nth term of an arithmetic sequence is given as:
first term = -15
common difference = -6 - (-15) = 9
number of terms
substituting into the formula , we have :
X = Lilys weight
x + 34 = Arthurs weight
4x - 180 = combined weight
x + x + 34 = 4x = 180
2x + 34 = 4x - 180
-2x -2x
_________________
34 = 2x -180
+180 + 180
_______________
214 = 2x
107 = x which is Lily's weight
141 = x + 34 which is Arthur's weight
The total weight is 248
which is the answer that you get when you do 4(107) = 180 or
428 -180 = 248
Answer: Table H would be the correct answer;
The rule of a function is that for each x-value given there can't be more than 1 y-value
<u>In Table F:</u>
x = -13, then y = -2
x = -13, then y = 0
x = -13, then y = 5
x = -13, then y = 7
For the x-value -13, there are 4 different y-values, so <em>it's not a function.</em>
<u>In Table G:</u>
x = -6, then y = 3
x = -1, then y = -1
x = -1, then y = 5
x = 10, then y = -9
For the x-value -1, there are 2 different y-values, hence <em>this isn't a function.</em>
<u>In Table H:</u>
x = 1, then y = 4
x = 3, then y = 4
x = 7, then y = 4
x = 12, then y = 4
For each x-value, there is only 1 y-value, so <em>this is a function.</em>
<u>In table J:</u>
x = -9, then y = -7
x = -2, then y = -5
x = 0, then y = 0
x = 0, then y = 6
For the x-value 0, there are 2 different y-value therefore <em>this isn't a function</em>
Hope this helps!
Given , revenue function : 
Cost function 
Profit = Revenue - Cost
Hence, P = R(x) - C(x)
Total revenue for x = 12000 is 
Total cost for x = 12000, 
Profit = 60000-28500 = 31500
Answer = 31500
