The next number in the sequence is 8
5n + 7 = 7(n+1) - 2n
First distribute 7 to all terms inside the parenthesis
7(n) = 7n
7(1) = 7
5n + 7 = 7n - 2n + 7
Simplify. Combine like terms
5n + 7 = 5n + 7
True.
If you want to continue:
Isolate the n, move all variables to one side, and constants to the other
5n (-5n) + 7 (-7) = 5n (-5n) + 7 (-7)
0 = 0
True
hope this helps
Answer:

Step-by-step explanation:
(f g)(x) is equal to f(x) times g(x). So you just need to multiply both of the equations together. Use the foil method to multiply (x+2)(x-4)

I have attached an image to better explain the foil method
Answer:
The dimensions of the garden is 102 feet by 68 feet
Step-by-step explanation:
Here, we want to get the width and length of the garden
The perimeter is represented by the length of the fencing
From the question;
w = 2l/3
The formula for the perimeter is;
P = 2(l + w)
Thus;
340 = 2(l + 2l/3)
170 = (l + 2l/3)
Multiply through by 3
510 = 3l + 2l
5l = 510
l = 102 feet
w = 2/3 * l
w = 2/3 * 102
w = 68 feet
Answer:
c
Step-by-step explanation:
drivers license is is not necessary.