Answer:
n=3
Step-by-step explanation:
Simplifying
8n + 12 + -5n = 21
Reorder the terms:
12 + 8n + -5n = 21
Combine like terms: 8n + -5n = 3n
12 + 3n = 21
Solving
12 + 3n = 21
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + 3n = 21 + -12
Combine like terms: 12 + -12 = 0
0 + 3n = 21 + -12
3n = 21 + -12
Combine like terms: 21 + -12 = 9
3n = 9
Divide each side by '3'.
n = 3
Simplifying
n = 3
The rate of change of the given equation is: 0.86
Step-by-step explanation:
Rate of change or slope is the steepness of a linear function or line.
When an equation is given in the form of slope-intercept form, the co-efficient of x is the slope or rate of change of the equation.
Given equation is:

We can see that the co-efficient of x is 0.86
Hence,
The rate of change of the given equation is: 0.86
Keywords: Slope, rate of change
Learn more about slope at:
#LearnwithBrainly
Let m be the slope:
m=(y₂-y₁)/(x₂-x₁)
solve for c:
1/6=(9-c)/(1-7)
1/6=(9-c)/-6
-1=9-c
-10=-c
c=10
Sixth grade:
7 | x x x x x x
8 | x x x x
9 |x x x x x x
A | x x x x . . . . . . . . where "A" is used to represent 10 tens (100)
7th grade:
5 | x x x x x
6 | x x x x x x x
7 | x x x x
8 | x x x x
The range (low, high) and median of the 6th grade scores are all higher than those of the 7th grade scores.
Based on visual inspection, Grade 6 appears to have the higher mean score.