"Porportional Relationships" means that the rate in which it increases is the same.
For example: 1, 3, 5, 7, 9 is a porportional relationship, because it increases each time by (+2).
Now, look at the first one.
From y to x, y being 2, x being 10, you divided 5 from x to get 2. Next, you divided 6 from 30 to get 5. Because the number dividing is different, it is not proportional
NOT PROPORTIONAL
Look at the second one.
From y to x, y being 12, x being 10, you divided 1.2
Now, look at the next one. 30/25 = 1.2
Finally, the last one. 48/40 = 1.2
Because all of them are 1.2, the answer is proportional
PROPORTIONAL
~
Answer:
The maximum value of C is 68
Step-by-step explanation:
we have the following constraints
----> constraint A
----> constraint B
----> constraint C
----> constraint D
Find out the area of the feasible region, using a graphing tool
The vertices of the feasible region are
(0,0),(5,19),(5,0)
see the attached figure
To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function and then compare the results

For (0,0) -----> 
For (5,19) -----> 
For (5,0) -----> 
therefore
The maximum value of C is 68
What you should do first is simplify the equation into the y = mx + b format. Move 2x to the other side. Know that in doing this, 2x must become the opposite of what it currently is (-2) in order for the equation to remain true. We also have to take away the '10' because the line is parallel, not exactly the same, which means a different y intercept. This looks like:

Next, simplify y to make things easier. This can be done by dividing both sides by 5, like so:

What you should also know is that if a line is parallel to another, then this means the slope has to be the same because they both have the same changes in rise and run. With this in mind, simply plug in the x and y values.



Add 2 to both sides to isolate b.

Which means that -2 = b.
Now that we have the y intercept, we can write the equation of the line, which is
.
Hope this was helpful.
Answer:
-2p +1
Step-by-step explanation:
-4p+(-2)+2p+3
Combine like terms
-4p+2p+3-2
-2p +1