Answer:
-51/82.
Explanation:
Given two points (x1,y1)=(2,21) and (x2,y2)=(84,-30), we find the slope using the formula below:

Substitute the given points:

The slope of the line that passes through the given points is -51/82.
Answer:
No. The answer on the right is positive 16 while the answer on the left is negative 9. 16≠-9
Step-by-step explanation:
Answer:
- 6 2/3 qt 80%
- 13 1/3 qt 20%
Step-by-step explanation:
It is often convenient to solve a mixture problem by letting a variable represent the quantity of the higher-concentration contributor to the mix.
__
We can let x represent the number of quarts of 80% solution needed. Then (20-x) is the number of quarts of 20% solution needed. The amount of salt in the final mix is ...
0.80x +0.20(20-x) = 0.40(20)
0.60x = 0.20(20) . . . . . . . . subtract 0.20(20) and simplify
x = 20/3 = 6 2/3 . . . . . . . . . divide by 0.60; quarts of 80% solution
(20 -x) = 13 1/3 . . . . . . . . . . amount of 20% solution needed
The teacher should mix 6 2/3 quarts of 80% solution with 13 1/3 quarts of 20% solution.
Answer:
7m² - 5m + 8 + 3/(m+3)
Step-by-step explanation:
7m³+16m²-7m+27
(7m³+21m²-5m²-15m+8m+24+3)/(m+3)
[7m²(m+3) - 5m(m+3) + 8(m+3) + 3]/(m+3)
7m² - 5m + 8 + 3/(m+3)