Answer:
Table D
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
<u><em>Verify each case</em></u>
<em>Table A</em>
For x=1, y=3
Find the value of k
-----> 
For x=2, y=9
Find the value of k
-----> 
the values of k are different
therefore
The table A not represent a direct variation
<em>Table B</em>
For x=1, y=-5
Find the value of k
-----> 
For x=2, y=5
Find the value of k
-----> 
the values of k are different
therefore
The table B not represent a direct variation
<em>Table C</em>
For x=1, y=-18
Find the value of k
-----> 
For x=2, y=-9
Find the value of k
-----> 
the values of k are different
therefore
The table A not represent a direct variation
<em>Table D</em>
For x=1, y=4
Find the value of k
-----> 
For x=2, y=8
Find the value of k
-----> 
For x=3, y=12
Find the value of k
-----> 
All the values of k are equal
therefore
The table D represent a direct variation or proportional relationship
The linear equation is 
Volume of the water= long x width x deep
Data:
long=6 ft
width=4 ft
deep=2 ft
volume of the water: =6 ft * 4 ft * 2 ft=48 ft³
answer: 48 ft³ is the volume of the water.
Answer:
y=2x-3
Step-by-step explanation:
1. find the slope
6x-3y=21
-3y=-6x+21 divide both sides by -3
y=2x-7
slope is 2
2.y-5=2(x-4)
y-5=2x-8
y=2x-8+5
y=2x-3
PARALLEL lines have the same slope
I am sorry, I would love to help but I am not sure. Good luck anyways. :(
Step-by-step explanation:
2x²+3x-2=0
(2x-1)(x+2)
x+2=0
x=-2 (no, because x must be >0)
2x-1=0
2x=1
x=½ (yes, because x>0)