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
Answer:
194,440 or 127,947.559
Step-by-step explanation:
if that's supposed to be a comma on 66.559 then the answer is 194,440. If not it's 127,947.559.
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ANSWER
(-2,-1)
(3,14)
EXPLANATION
The given system is
![y = {x}^{2} + 2x - 1](https://tex.z-dn.net/?f=y%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20-%201)
![y - 3x = 5](https://tex.z-dn.net/?f=%20y%20-%203x%20%3D%205)
or
![y = 3x + 5](https://tex.z-dn.net/?f=y%20%3D%203x%20%2B%205)
Equate both of them:
![{x}^{2} + 2x - 1 = 3x + 5](https://tex.z-dn.net/?f=%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20-%201%20%3D%203x%20%2B%205)
This implies that,
![{x}^{2} - x - 6 = 0](https://tex.z-dn.net/?f=%7Bx%7D%5E%7B2%7D%20%20%20-%20x%20-%206%20%3D%200)
![(x - 3)(x + 2) = 0](https://tex.z-dn.net/?f=%28x%20-%203%29%28x%20%2B%202%29%20%3D%200)
x=-2 or x=3
When x=-2, y=y=3(-2)+5=-1
(-2,-1) is a solution.
When x=3 , y=3(3)+5=14
(3,14) is also a solution.