The first one is supplementary
Step-by-step explanation:
Claim:
it takes n - 1 number of breaks to break the bar into n separate squares for all integers n.
Basic case -> n = 1
The bar is already completely broken into pieces.
Case -> n ≥ 2
Assuming that assertion is true for all rectangular bars with fewer than n squares. Break the bar into two pieces of size k and n - k where 1 ≤ k < n
The bar with k squares requires k − 1 breaks and the bar with n − k squares
requires n − k − 1 breaks.
So the original bar requires 1 + (k−1) + (n−k−1) breaks.
simplifying yields,
1 + k − 1 + n − k − 1
1 - 1 + n - 1
n - 1
Therefore, we proved as we claimed that it takes n - 1 breaks to break the bar into n separate squares.
Answer:
y = mx + b
-1.8 is the slope
-1.8 in fraction form is -9/5
-9/5
Step-by-step explanation:
Formula for finding percent change (increase or decrease) is amount of the change divided by the original amount.
Here, the amount of the change is 50 and the original amount is 250.
50/250= 0.2
Multiply by 100 to get percent.
20% decrease (because budget went down)
Answer:
I think the answer is -1 1/2
