The standard for is Y=-5/3x +3
Answer:
The general rule is 
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
The general rule of an arithmetic sequence is given by:

In which
is the first term and d is the common difference.
We can also find the nth term as a function of a term m, using:

a3 = -12 and a8 = -37
First we find the common difference. So






So

Finding the first term:

Since 



So the general rule is:


Answer:
94
Step-by-step explanation:
Do parentheses first, exponents inside them first. 4^2 = 16, + 1 is 17, then multiply by the 3 outside to get 51, then multiply by the 2 outside that to get 102, - 2^3 which is -8 = 94
Answer:
5 1/3
Step-by-step explanation:
Set up ratio.
2/3 cup orange juice X 2 cups pineapple juice
———————————-
1/4 cup pineapple juice
first multiply numerator : 2/3 x 2 = 4/3
and divide by denominator
(4/3)/(1/4). Keep the first. Change the sign to multiplication and Flip the second fraction.
4/3 x 4/1 = 16/3
change to proper fraction : 16/3 = 5 1/3 cups
Answer:
, ](https://tex.z-dn.net/?f=%5B16%20%2B%20%28-18%29%5D%28-4%29)
Step-by-step explanation:
Given: The low temperature on Monday was 16°F. The low temperature on Tuesday was 18°F cooler. The low temperature on Wednesday was –4 times Tuesday’s temperature.
To find: expression that can be used to describe the low temperature on Wednesday
Solution:
Temperature on Monday = 16°F
So,
Temperature on Tuesday = 
Temperature on Wednesday = 
So, expression
can be used to describe the low temperature on Wednesday.
Also,
\,\,\left \{\because (a-b)=\left [ a+(-b) \right ] \right \}](https://tex.z-dn.net/?f=%2816-18%29%28-4%29%3D%5B16%20%2B%20%28-18%29%5D%28-4%29%5C%2C%5C%2C%5Cleft%20%5C%7B%5Cbecause%20%20%28a-b%29%3D%5Cleft%20%5B%20a%2B%28-b%29%20%5Cright%20%5D%20%5Cright%20%5C%7D)
So, expression
also represent temperature on Wednesday.