Step-by-step explanation:
x+6=3x+21
2x=-15
x=-7.50
Answer:
Option C. Yes; y=2x
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
so
In this problem
For x=0, y=0
That means ----> the line passes through the origin
<em>Find the value of k</em>
For x=2, y=4
----> 
For x=4, y=8
----> 
The values of k are equal
therefore
The table represent a direct variation
The equation is equal to

To solve this problem you have to set up a proportion. To form one side of the proportion you use "is over of" meaning what number represented by is, in this case 18, is placed over the number represented by of, 3000.

Since you are finding the percent of something, youre x value is placed above "100" because percent values are most commonly out of 100%.
So now your proportion will look like


To solve the proportion you cross multiply and divide. So you multiply 100 and 18 since they are crossed from each other, then divide 1800 by 3000. The answer is .6. 18 is .6% of 3000.
Locate 1 on the x axis. This is the horizontal number line.
Draw a vertical line through 1 on the x axis. Extend this vertical line as far up and down as you can.
Notice how the vertical line crosses the blue curve. Mark this point. Then draw a horizontal line from this point to the y axis. The horizontal line will touch -4 on the y axis. So that means the point (1,-4) is on the curve.
If the input it is x = 1, then the output is y = -4
So that's why the answer is choice A
<h2>
Answer:
</h2>
20 x + 500 y cents
<h2>
Step-by-step explanation:
</h2>
20 x cents already given in question
converting 5 y dollars into cents (1 dollar=100 cents, 5 dollars =500 cents)
5 y dollars =500 y cents
20 x cents+500 y cents
20 x + 500 y cents