Answer:
Step-by-step explanation:
- x − (5 − 3x) ≤ 2x − 1
- x - 5 + 3x ≤ 2x - 1
- 4x - 5 ≤ 2x - 1
- 4x - 2x ≤ 5 - 1
- 2x ≤ 4
- x ≤ 2 or x ∈ (- oo, 2]
The graph includes all point to the left from point 2, same point included
Answer: 
Step-by-step explanation:
Using the values 
and 
, the slope is 
.
So, the equation is:
It will take 6 years for that to happen.
You can find this by setting Nichole's age as x and Sophie's age as x + 28 since she will always be 28 years older.
Now we are looking for a time that Sophie's age is equal to 2 less than 6 times Nichole's age. So we can set up the below equation.
6(x) - 2 = x + 28
6x - 2 = x + 28
5x - 2 = 28
5x = 30
x = 6
This let's us know that it needs to be when Nichole is 6, which is 6 years in the future.
Answer:
Use Distance Formula
Step-by-step explanation:
You can find the distance between two points by using the distance formula which by definition is 
For example take question 3. Plug your point values in to find the distance
Point 1 is (-1, 8)
Point 2 is (-3, -2)
You equation would look like:
This simplifies to 
=
=
=
=
That is the distance between the points (-1, 8) and (-3, -2)
Range = highest value - lowest value
98-73=25
So the range is 25 (A)
