GCF of :2xy and 2xy
2(x+y)
Answer:
38
Step-by-step explanation:
We can express the 8th term as x and the 12th term as y.
This would mean that 8x=12y
Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y
Now we can use this to substitute y with x in the first equation. This would give us:
8x=12(x-8)
Which we can expand and solve:
8x=12x-96
-4x=-96
Therefore x=24
This means the 8th term is 24 and the 12th term is 16 (24-8).
To test if this is correct we can do:
8x24=12x16
Which indeed are equal, both sides multiply to 192.
Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)
24+14=38.
The first term is 38.
Hope this helped!
Answer:
quintic function
Step-by-step explanation:
Answer:
$225 = $15 a + $ 10 c
Step-by-step explanation:
Given,
Total price = $225
Cost of concert ticket for adults= $15
Cost of concert ticket for children = $10
System of equation to represent scenario
a is variable for adult
c is variable for children
Now,
Total price = $15 a + $ 10 c
$225 = $15 a + $ 10 c
