Answer:
The answer to your question is 192 pretzels
Step-by-step explanation:
Data
number of pieces = 8
length of each piece = 2 ft
length of each pretzel = 1 in
number of pretzels = x
Process
1.- Convert ft to in
1 ft --------------- 12 in
2 ft --------------- x
x = (2 x 12) / 1
x = 24 ft
2.- Divide the length of each piece by the length of each pretzel
24/1 = 24 pretzels per piece
3.- Multiply the number of pretzels per the number of pieces
24 x 8 = 192 pretzels
For a translation 4 units down you would subtract 4 from each y value and 5 units right you would add 5 to each x value.
Your resulting points would be.
A'(-1,1), B'(-1,-2), C'(3,-2), D'(3,2)
C. You'd be starting at a higher floor (positive number) and descending floors (negative number per x). If you assume x is time it's a little more logical and visual.
The answer is -37! You would substitute the numbers you were given for the variables so the equation would become 5(3) -3 + 7(-7)
To find the sum:

Therefore the answer is a^3+12a^2+14a+5.
Hope it helps!