Answer:
A 6f + 12 = 6(f +7)
Step-by-step explanation:
6f + 12 = 18f
6(f+7)= 42
bc u have to multiply so that means this is the correct option
Answer:
C; B
Step-by-step explanation:
The direct/explicit formula for a geometric sequence is the following:
Where <em>aₙ </em>represents the term <em>n</em>, <em>a</em> represents the initial value, and <em>r</em> represents the common ratio.
Therefore, to find the <em>nth</em> term, we just need to find the initial value and the common ratio.
1)
-8, 24, -72, 216...
The common ratio is the ratio between each consecutive term. Do two to confirm that they are indeed the same. Thus:
So, the common ratio is -3. And the initial value is -8. Thus, putting them into our equation:
Thus, the eighth term will be:
C
2)
Again, find the common ratio.
2, -14, 98, -686...
The common ratio is -7. The initial value is 2. Thus:
And the sixth term will be:
B
Answer:
4) smaller number is 9, larger number is 12
13) 38.45=5m+8.5
m=5.99
Step-by-step explanation:
x+y=21 the sum of two numbers is 21
x-3=.5y the smaller number is 3 more than half the larger number
multiply both sides by 2 and you get 2x-6=y
plug that equation into the first equation and you get x+2x-6=21
simplifying you get 3x-6=21 add 6 to both sides and you get 3x=27
x=9 so the smaller number is 9 then you plug that back into the first equation and get y=12
let m be the cost of 1 movie and c be the cost of the cd
38.45=5m+c
38.45=5m+8.5 this is the equation you use
subtract 8.5 from both sides and you get 29.95=5m
divide both sides by 5
5.99=m the answer