Answer:
The first two pieces are 5' 5" long; the last piece is 5' 2" long.
Step-by-step explanation:
If x is the length of one of the longer pieces, then the shorter one (in inches) is x-3. The total length of the three pieces is ...
x + x + (x-3) = 192
3x = 195 . . . . . . . . . add 3
x = 65 . . . . . . . . . . inches
65 inches = 5 ft 5 inches
The first two pieces are each 5' 5" long; the remaining piece is 5' 2" long.
230 minus 75 or 5*15 is 155. so the answer is 155 dollars.
The formula for the sum of n terms in an arithmetic progression is:
S = n/2 * (2a + (n-1)d)
Here, the common difference, d, is 8 and the first term, a, is 1. Substituting these into the formula, we get:
S = n/2 * (2*1 + 8(n - 1))
S = n + 4n² - 4n
S = 4n² - 3n
The answer is A.
Use Desmos. It is good.
Here is the graph.
https://www.desmos.com/calculator/wq4kzps9fq
To change the color, you have to click on the line next to the formula for a long time. A window will pop up so you can change the color.