Answer:
=18975
Step-by-step explanation:
This is an arithmetic sequence
an = a1 +d(n-1)
a1 =9
d = 12-9 = 3
an = 9 +3 (n-1)
The sum of an arithmetic sequence is given by
Sn = n/2 (a1+an)
So we need to determine what number in the sequence 336 is
an = 9 +3 (n-1)
336 = 9 +3(n-1)
Subtract 9 from each side
336-9 =9+-9 + 3(n-1)
327 = 3(n-1)
Divide each side by 3
327/3 =3/3(n-1)
109 = n-1
Add 1 to each side
109+1= n-1+1
110 = n
336 is the 110 term
The sum from 9 to 336
Sn = n/2 (a1+an)
S 110 = 110/2 (9+336)
= 55 (345)
=18975
Answer:
(5,-3) if the system is
y=x-8
2x+3y=1
Step-by-step explanation:
I think the system is to read:
y=x-8
2x+3y=1.
Please correct me if I'm wrong.
I'm going to plug 1st equation into 2nd equation giving me:
2x+3(x-8)=1 ->I replaced y with (x-8).
Distribute:
2x+3x-24=1
Combine like terms:
5x-24=1
Add 24 on both sides:
5x=25
Divide both sides by 5:
x=5
If y=x-8 and x=5, then y=5-8=-3.
The solution is (5,-3).
The slope I got was 6/9 which can be reduced down to 2/3
We know the y intercept is 16 because y=16 when x=0.
Find slope by calculating change in y over change in x.
(12-16)/(2-0)
-4/2
-2
Plug both values into slope intercept form. y=mx+b where m is slope and b is the y intercept.
Final answer: y=-2x+16
I think it is 1000 liters
