Hi there! The answer is A. (-6, 1)
![y = 7x + 43 \\ y = 2x + 13 \\ \\ we \: get \: the \: following \\ 7x + 43 = 2x + 13](https://tex.z-dn.net/?f=y%20%3D%207x%20%2B%2043%20%5C%5C%20y%20%3D%202x%20%2B%2013%20%5C%5C%20%5C%5C%20we%20%5C%3A%20get%20%5C%3A%20the%20%5C%3A%20following%20%5C%5C%207x%20%2B%2043%20%3D%202x%20%2B%2013)
Subtract 2x from both sides.
![5x + 43 = 13](https://tex.z-dn.net/?f=5x%20%2B%2043%20%3D%2013)
Subtract 43 from both sides.
![5x = - 30](https://tex.z-dn.net/?f=5x%20%3D%20-%2030)
Divide both sides by 5.
![x = - 30 \div 5 = - 6](https://tex.z-dn.net/?f=x%20%3D%20-%2030%20%5Cdiv%205%20%3D%20-%206)
Fill in the value of x we just found.
![y = 7 \times - 6 + 43 = - 42 + 43 = 1 \\ y = 2 \times - 6 + 13 = - 12 + 13 = 1](https://tex.z-dn.net/?f=y%20%3D%207%20%5Ctimes%20-%206%20%2B%2043%20%3D%20-%2042%20%2B%2043%20%3D%201%20%5C%5C%20y%20%3D%202%20%5Ctimes%20-%206%20%2B%2013%20%3D%20-%2012%20%2B%2013%20%3D%201)
Hence, the answer is A. (-6, 1)
Answer:
The required equation is ![a_n=a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%28n-1%29d)
Step-by-step explanation:
To find : Which of the following are explicit equations for the nth term of some kind of arithmetic sequence?
Solution :
The Explicit formula which shows the nth term of a sequence in terms of n is given by,
![a_n=a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%28n-1%29d)
Where,
is the nth term
is the first term
n is the number of terms
d is the common difference
Therefore, The required equation is ![a_n=a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%28n-1%29d)
Answer:
B
Step-by-step explanation:
If you think of it as a graph the y intercept is -430, meaning that after 0 minutes it's at -430 (it started at -430).
Because you multiply the number of minutes by 38, that means it ascends by 38 meters every minute.
Answer:
I'm not smart sorry
Step-by-step explanation:
Hshshha good luck
City hall to post office = 6 1/2 miles = represented by f
city hall to library site = 1 1/4 miles = represented by d
library site to post office = unknown. = represented by e
City hall to library site PLUS library site to post office IS EQUAL to city hall to post office
d + e = f
1 1/4 + e = 6 1/2
find e.
e = 6 1/2 - 1 1/4
e = 13/2 - 5/4
e = (13*2)/(2*2) - 5/4
e= 26/4 - 5/4
e = (26-5)/4
e = 21/4
e = 5 1/4 distance from library site to post office.
To check:
d + e = f
1 1/4 + e = 6 1/2
1 1/4 + 5 1/4 = 6 1/2
6 2/4 = 6 1/2
6 1/2 = 6 1/2