Answer: m = 2
The formula for slope can be found by finding the difference in y between two values divided by the difference in x between the same two values. In this case, you would subtract 4 from 8 and 2 from 4, to get 4/2, or 2. The slope is represented by the variable m, so m = 2.
-4x + 3(2x - 5) = 31 (use distributive property to remove parentheses)
-4x + 6x - 15 = 31 (combine like terms)
2x - 15 = 31 (add 15 to both sides)
+15 +15
2x = 46 (divide both sides by 2)
x = 23
The slope of the line may be calculated by using the formula:
m = (y2 - y1)/(x2 - x1), where m is the slope, and (x1, y1) and (x2, y2) are two points on the line.
Using the points (0, -1) and (2, 4) shown, we can substitute these values into the formula above to get:
m = (y2 - y1)/(x2 - x1)
m = (4 - (-1))/(2 - 0)
m = 5/2
Therefor, the slope is 5/2.
Another way to think about the slope is in terms of rise/run, that is for a given interval that the x-value 'runs', by how much does the y value 'rise'?
Here, if we take the same two points (0, -1) and (2, 4), we can see that the x-value has moved 2 units, and the y-value has increased by 5 units. Thus:
if slope = rise/run, then the slope would be 5/2
Note that you should be careful when using this method if the y-value decreases as x increases; in this scenario, the 'rise' would be a negative value rather than a positive one
Answer:
B. terms in sequences
Step-by-step explanation:
When graphed, a sequence is a scatter plot, a series of dots. (Do not connect the dots). The sum of the terms of a sequence is called a series.
the total time taken by Mia to complete cleaning is, 47min.
hope it helps...
