There are ways of building a subset of
elements from
, so the total number of subsets you can build is
Recalling the binomial theorem, the above sum is equal to
as required.
It would be enchanting if you could help me out on this question, pease and crackers. thank you!(don't mind my weird language lo
l)
1 answer:
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Answer:
Step-by-step explanation:
We are given a table and we want to determine a linear equation (in slope-intercept form) that represents this table.
So, we will first need to determine the slope. We can use the slope formula:
Where (x₁, y₁) and (x₂, y₂) are two points.
We have three points: (1, 8), (2, 16), and (3, 24).
Let’s pick two. We can use (1, 8) and (2, 16).
So, let (1, 8) be (x₁, y₁) and let (2, 16) be (x₂, y₂). Substitute appropriately:
Evaluate:
So, our slope is 8.
Now, we can determine the equation using point-slope form:
Where m is our slope and (x₁, y₁) is a point.
We know that the slope is 8, so we will substitute 8 for m.
We can use any of our three points for the point. Let’s use (1, 8) for consistency. So, let (1, 8) be (x₁, y₁). Substitute appropriately:
Solve for y. Distribute the right:
Add 8 to both sides:
And we have our equation.
Notice that this is a direct variation or proportional equation as we don’t have a y-intercept.