Answer:

Step-by-step explanation:
Let
and
.
The midpoint is calculated using the formula;

Substitute the coordinates to get;



Step-by-step explanation:
The graphed function has its local maximum at x = - 1 and local minimum at x = 2.
The function is decreasing between those points and increasing outside.
The increasing intervals are
- x ∈ (- ∞, - 1) ∪ (2, + ∞)
Answer:
Step-by-step explanation:
Domain is the set of all possible inputs (x) for the function f(x)
The range is the set of all possible values for that domain
This function is 4x + y = 3 which can be re-written as y = 3-4x
Plug in each of the domain values and you will get the range
For -2 : y = 3-4(-2) = 3 + 8 = 11
For 1: y = 3-4(1) = -1
For 5: y = 3-4(5) = -17
So range is {-17, -1, 11}
Answer:
7. 4
8. 7
Step-by-step explanation:
7. 
Cross multiply


(division property of equality)


8. 
Cross multiply


(addition property of equality)

Divide both sides by 6


Answer:
1/8
Step-by-step explanation: