Hello!
The domain of the function are the x-values that make the function true.
Since the graph has open circles and filled in circles, the open circles make the function false (written as <) , and the filled in circles make it true (written as ≤).
From the graph, the x value -3, and 2 are open circles. While the value -0.5 are filled in circles. Also, from the interval (-0.5, 2), there is gap, so it is part of the domain.
Therefore, the domain of the function is: {x | -3 < x ≤ -0.5} ∪ {x | 2 < x < ∞}, which is the third choice.
Answer:
A = 7.7
b = 26
Step-by-step explanation:

Answers:
1) 3/8 + 3/6 = 7/8
3/8 + 3/6
Simplify
3/4 + 1/2
Transform the expression
3 + 4/8
Calculate
=7/8
_____________
2) 5/9 + 1/3 = 8/9
5/9 + 1/3
Transform the expression
5 + 3/9
Calculate
= 8/9
_____________
3) 5/12 + 7/8 = 31/24
5/12 + 7/8
Transform the expression
10 + 21/24
Calculate
= 31/24
_____________
4) 7/9 - 1/6 = 11/18
7/9 - 1/6
Transform the expression
14 - 3/18
Calculate
= 11/18
_____________
5) 4 2/5 + 2 1/5 = 33/5
4 2/5 + 2 1/5
Convert the number
22/5 + 11/5
Calculate
22 + 11/5
Calculate
= 33/5
_____________
6) 5 3/8 + 2 7/8 = 33/4
5 3/8 + 2 7/8
Convert the number
43/8 + 23/8
Calculate
43 + 23/8
Calculate
= 66/8
Answer:
permeant
Step-by-step explanation:
Stroking with one pole of a permanent magnet works because it aligns the atoms in the nail to line up in the same polar direction, giving the nail a north and a south magnetic pole.
Answer:
see explanation
Step-by-step explanation:
Calculate the distance d using the distance formula
d = 
with (x₁, y₁ ) = ((- 2, - 3 ) and (x₂, y₂ ) = (x, 5x + 9 )
d = 
= 
= 