Answer:
1km per minute
Step-by-step explanation:
Given the table in the picture :
The average rate of change over the interval from 8 to 15 minutes will be :
Change in distance / change in time
Change in distance between 8 and 15 minutes :
Distance d1 at 8 minutes t1 = 7km
Distance d2 at 15 minutes t2 = 14km
Average rate of change = (d2 - d1) / (t2 - t1)
Average rate of change = (14 - 7)km / (15 - 8)min
Average rate of change = 7km / 7minutes
Average rate of change = 1km per minute
Answer:
x
y
−
2
2
−
1
0.5
0
0
1
0.5
2
2
Step-by-step explanation:
Answer:
Correct answer: F. graph F or x ∈ |-5 ; 5| (including endpoints)
Step-by-step explanation:
Let us first define the absolute value:
| x | = 1. { x with condition x ≥ 0 }
or 2. { - x with condition x < 0 }
This is a linear inequality
1. x ≤ 5 ∧ x ≥ 0 ⇒ 0 ≤ x ≤ 5 or interval x ∈ |0 ; 5| (including endpoints)
2. - x ≤ 5 when we multiply both sides of the equation by -1 we get:
x ≥ -5 ∧ x < 0 ⇒ -5 ≤ x < 0 or interval x ∈ |-5 ; 0) (including -5)
The solution to this linear inequality is the union of these two intervals:
x ∈ |-5 ; 0) ∪ |0 ; 5| ⇒ x ∈ |-5 ; 5| (including endpoints)
x ∈ |-5 ; 5| (including endpoints)
God is with you!!!
<span>Simplifying
8k + 2m = 3m + k
Reorder the terms:
8k + 2m = k + 3m
Solving
8k + 2m = k + 3m
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-1k' to each side of the equation.
8k + -1k + 2m = k + -1k + 3m
Combine like terms: 8k + -1k = 7k
7k + 2m = k + -1k + 3m
Combine like terms: k + -1k = 0
7k + 2m = 0 + 3m
7k + 2m = 3m
Add '-2m' to each side of the equation.
7k + 2m + -2m = 3m + -2m
Combine like terms: 2m + -2m = 0
7k + 0 = 3m + -2m
7k = 3m + -2m
Combine like terms: 3m + -2m = 1m
7k = 1m
Divide each side by '7'.
k = 0.1428571429m
Simplifying
k = 0.1428571429m</span>
