Answer:
The answer to your question is: first piece = 4 in, second piece = 8 in, third piece = 12 in
Step-by-step explanation:
Data
total length = 24 inches
first piece = x in
second piece = 2x
third piece = 3x
Equation
x + 2x + 3x = 24
6x = 24
x = 24/6
x = 4 length of the first piece
second piece = 2(4) = 8 inches
third piece = 3(4) = 12 inches
Answer:
The explicit formula is:
Step-by-step explanation:
Freya increases 5 yards daily to the number of yards she runs.
Note that the increase factor is constant, so this problem can be modeled using an arithmetic sequence.
The explicit formula for an arithmetic sequence is:
Where:
is the number of yards that Freya runs on the day
is the number of yards that he runs on day 1
d is the increase factor. 
yards
n is the number of days
Then as 
and , the explicit formula is:
Answer:
-5x-12
Step-by-step explanation:
Given f(x) = -5x+3, to get f(x+3), we are going to replace x in f(x) with x+3 as shown;
f(x) = -5x+3
f(x+3) = -5(x+3)+3
f(x+3) = -5x-15+3
f(x+3) = -5x-12
Hence the function f(x+3) is -5x-12
