Answer:
f(x) = 5x - 30
Yes it is a function
Step-by-step explanation:
Because when you input 0 you get -30 we know it starts at 0 or (0,-30). This gives us b in the equation y = mx + b.
We know that for every 4 cars washed it increases by 20. So 20/4 is 5. This tells us m = 5.
Plug it all in and you get y = 5x - 30 or f(x) = 5x - 30
Parallelograms have equal and parallel opposite sides
<em>The coordinates of the 4th point is (-2,3)</em>
Let the parallelogram be ABCD, such that:



A and B have the same y-coordinates, while their x-coordinates are additive inverse
This means that:
The y-coordinates of point C and point D will be the same, while their x-coordinates will be additive inverse.
<u>For point C</u>
We have:


<u>For point D</u>
The coordinates would be:


Hence, the coordinates of D is (-2,3)
Read more about parallelograms at:
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20 000 is as much as 20 * 1 000, so we can write it as: 20 * 10^3
3 400 000 is as much as 34 * 100 000, so we can write it as: 34 * 10^5
The sum in scientific notation would look like this:
20 * 10^3 + 34 * 10^5
I hope that's what you meant :)
From the steps shown in the table given, we can conclude that: D. in solving the equation, the subtraction property of equality was not applied.
<h3>What is the Subtraction Property of Equality?</h3>
If a + b = c, to apply the subtraction property of equality so that b is moved to the other side of the equation, we would have:
a + b - b = c - b
a = c - b
Thus, from the table given, the none of the steps showed that the subtraction property of equality was applied in solving the equation, so, the answer is: D.
Learn more about the subtraction property of equality on:
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The Midpoint 1 = (1,1), Mid point 2 = (3,3 ) and slope is 1 of the given points of the line.
<h3>What is the slope of line?</h3>
The slope of a line segment is a measure of the steepness of the line segment. It is the ratio of rise (the change in vertical height between the endpoints) over run (the change in horizontal length between the endpoints.
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line.
Midpoints of 1 line segment are -
= (2+0 / 2 , 4-2 / 2)
= (1,1)
Mid points of line 2 =
= (5+1 / 2, 1+5 / 2)
= (3,3)
slope -
The required slope = rise / run
= (y1-y2)/(x1-x2)
= (1-3)/(1-3)
= 1
Therefore, the Midpoint 1 = (1,1), Mid point 2 = (3,3 ) and slope is 1 of the given points of the line.
To learn more about slope and mind-points from the given link
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