A. if you solve for y, then you get y=2x+18, and that is not direct variation, so it is not
B. It is direct variation since you only have a slope and the line passes through the origin so it is direct variation
C. If you solve for y, you get y=1/3x. and that is direct variation because the line passes through the origin.
D. That is not direction variation,because that is inverse variation.
So it is B, C
Answer: The correct options are (A) 8 and (D) 7.
Step-by-step explanation: We are given to select the correct scale factors that produces an expansion under a dilation of the original image.
The SCALE FACTOR of a dilation is defined as follows:

The dilation will be an expansion is the scale factor is greater than 1 (> 1),
and it will be a reduction if the scale factor is less than 1 (< 1).
Option (A) is
Scale factor = 8.
Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.
Option (B) is
Scale factor = 0.7.
Since 0.7 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.
Option (C) is
Scale factor = 0.8.
Since 0.8 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.
Option (D) is
Scale factor = 7.
Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.
Thus, the correct options are (A) 8 and (D) 7.
Answer: $$5$$ movies
Step-by-step explanation: Given: A movie club, one time fee
=
$
25
, movies
=
$
7
2nd club,
$
0
fee, movies
=
$
12
Cost equations for each club:
club 1:
C
1
=
25
+
7
M
club 2:
C
2
=
12
M
For the clubs cost to be equal:
C
1
=
C
2
25
+
7
M
=
12
M
Subtract
7
M
from both sides:
25
=
5
M
Divide by
5
:
M
=
25
5
=
5
5
movies
CHECK:
C
1
=
25
+
7
⋅
5
=
25
+
35
=
$
60
C
2
=
12
⋅
5
=
$
60
Travis earns 9 dollars per hour and Natalie earns 11 dollars per hour
Answer:
x=-2,-4 is your answer
x²+6x+8=0
doing middle term factorization
x²+4x+2x+8=0
x(x+4)+2(x+4)=0
(x+4)(x+2)=0
either
x=-4
or
x=-2