Answer:
the variable is n.
the coefficient is 5.
the constant is 2.
the term is 5 and 2.
Step-by-step explanation:
The set of ordered pairs are ![(-2,18),(-1,20),(0,22),(1,24),(2,26)](https://tex.z-dn.net/?f=%28-2%2C18%29%2C%28-1%2C20%29%2C%280%2C22%29%2C%281%2C24%29%2C%282%2C26%29)
Step-by-step explanation:
Given that the relation ![\{(x, y): y=2(x+11) \text { and } x \in(-2,-1,0,1,2)\}](https://tex.z-dn.net/?f=%5C%7B%28x%2C%20y%29%3A%20y%3D2%28x%2B11%29%20%5Ctext%20%7B%20and%20%7D%20x%20%5Cin%28-2%2C-1%2C0%2C1%2C2%29%5C%7D)
To find the set of ordered pairs, let us substitute the value for x in the relation ![y=2(x+11)](https://tex.z-dn.net/?f=y%3D2%28x%2B11%29)
For
,
![\begin{aligned}y &=2(-2+11) \\&=2(9) \\y &=18\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Dy%20%26%3D2%28-2%2B11%29%20%5C%5C%26%3D2%289%29%20%5C%5Cy%20%26%3D18%5Cend%7Baligned%7D)
The ordered pair is ![(-2,18)](https://tex.z-dn.net/?f=%28-2%2C18%29)
For
,
![\begin{aligned}y &=2(-1+11) \\&=2(10) \\y &=20\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Dy%20%26%3D2%28-1%2B11%29%20%5C%5C%26%3D2%2810%29%20%5C%5Cy%20%26%3D20%5Cend%7Baligned%7D)
The ordered pair is ![(-1,20)](https://tex.z-dn.net/?f=%28-1%2C20%29)
For
,
![\begin{aligned}y &=2(0+11) \\&=2(11) \\y &=22\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Dy%20%26%3D2%280%2B11%29%20%5C%5C%26%3D2%2811%29%20%5C%5Cy%20%26%3D22%5Cend%7Baligned%7D)
The ordered pair is ![(0,22)](https://tex.z-dn.net/?f=%280%2C22%29)
For
,
![\begin{aligned}y &=2(1+11) \\&=2(12) \\y &=24\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Dy%20%26%3D2%281%2B11%29%20%5C%5C%26%3D2%2812%29%20%5C%5Cy%20%26%3D24%5Cend%7Baligned%7D)
The ordered pair is ![(1,24)](https://tex.z-dn.net/?f=%281%2C24%29)
For
,
![\begin{aligned}y &=2(2+11) \\&=2(13) \\y &=26\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Dy%20%26%3D2%282%2B11%29%20%5C%5C%26%3D2%2813%29%20%5C%5Cy%20%26%3D26%5Cend%7Baligned%7D)
The ordered pair is ![(2,26)](https://tex.z-dn.net/?f=%282%2C26%29)
Thus, the set of ordered pairs is ![(-2,18),(-1,20),(0,22),(1,24),(2,26)](https://tex.z-dn.net/?f=%28-2%2C18%29%2C%28-1%2C20%29%2C%280%2C22%29%2C%281%2C24%29%2C%282%2C26%29)
Answer: 1/6 of the movie.
Step-by-step explanation:
First, she watches 1/2 of the movie.
This means that if the movie lasts N minutes, the time left is:
N - (1/2)*N = (1/2)*N.
Then she watches another part of the movie, let's call it as a*N, and after that, she has 1/3 of the movie left, we can write this situation as:
(1/2)*N - a*N = (1/3)*N
we can divide by N in both sides to get
(1/2) - a = (1/3)
(1/2) - (1/3) = a
3/6 - 2/6 = a
1/6 = a
So we can conclude that she watched 1/6 of the movie at night.
Answer:
B
Step-by-step explanation:
The sign of the leading coefficient in both is positive so they both open up