Pl help it’s for a grade I will give you Brainly if right
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Polynomials are algebraic expressions represented by variables and coefficients.
<h3>(a) How to determine the interval the open seats increased</h3>This is the interval, where the open seats increase the same time the time in minutes increases.
From the graph, the open seats increases at the interval (100, 600)
<h3>(b) The time the first meeting ended</h3>This is the first point where the curve changes its direction from decreasing values to increasing values
From the graph, the curve changes its direction at point (25,100)
Hence, the first meeting ended at 10:25 AM
<h3>(c) When there were 700 open seats</h3>From the graph, we have:
(x,y) = (5, 700)
Hence, there were 700 open seats at 10:05 AM
<h3>(d) The average rate of change from 10:00 AM to 10:25 AM</h3>At 10:00 AM, we have:
(x,y) = (0,800)
At 10:25 AM, we have:
(x,y) = (25,100)
So, the average rate of change is:
This gives
Hence, the average rate of change from 10:00 AM to 10:25 AM is -28 people per minute
Read more about polynomials at:
It is true that the product of two consecutive even integers are always one less than the square of their average.
<u>Step-by-step explanation</u>:
Let the two consecutive odd integers be 1 and 3.
- The product of 1 and 3 is (1
3)=3
- The average of 1 and 3 is (1+3)/2 =4/2 = 2
- The square of their average is (2)² = 4
∴ The product 3 is one less than the square of their average 4.
Let the two consecutive even integers be 2 and 4.
- The product of 2 and 4 is (2
- The average of 2 and 4 is (2+4)/2 =6/2 = 3
- The square of their average is (3)² = 9
∴ The product 8 is one less than the square of their average 9.
Thus, It is true that the product of two consecutive even integers are always one less than the square of their average.