We can model this situation with an arithmetic series.
we have to find the number of all the seats, so we need to sum up the number of seats in all of the 22 rows.
1st row: 23
2nd row: 27
3rd row: 31
Notice how we are adding 4 each time.
So we have an arithmetic series with a first term of 23 and a common difference of 4.
We need to find the total number of seats. To do this, we use the formula for the sum of an arithmetic series (first n terms):
Sₙ = (n/2)(t₁ + tₙ)
where n is the term numbers, t₁ is the first term, tₙ is the nth term
We want to sum up to 22 terms, so we need to find the 22nd term
Formula for general term of an arithmetic sequence:
tₙ = t₁ + (n-1)d,
where t1 is the first term, n is the term number, d is the common difference. Since first term is 23 and common difference is 4, the general term for this situation is
tₙ = 23 + (n-1)(4)
The 22nd term, which is the 22nd row, is
t₂₂ = 23 + (22-1)(4) = 107
There are 107 seats in the 22nd row.
So we use the sum formula to find the total number of seats:
S₂₂ = (22/2)(23 + 107) = 1430 seats
Total of 1430 seats.
If all the seats are taken, then the total sale profit is
1430 * $29.99 = $42885.70
The possible problems of using graphs to find roots are:
- Having complex roots.
- Having irrational roots.
<h3>How to find the roots of a quadratic function with a graph?</h3>
First, the roots of a quadratic function are the values of x such that:
a*x^2 + b*x + c = 0
To find the roots using a graph, we need to see at which values of x does the graph of the parabola intercepts the horizontal axis.
<h3>What are the possible problems with this method?</h3>
There are two, the first one is having irrational roots, in that case, an analytical or numerical approach will give us a better estimation of the roots. Finding irrational values by looking at the intercepts of the graph can be really hard, so in these cases using the graph to find the roots is not the best option.
The other problem is if we <u>don't have real roots</u>, this means that the graph never does intercept the horizontal axis. In these cases, we have complex roots, that only can be obtained if we solve the problem analytically.
If you want to learn more about quadratic functions, you can read:
brainly.com/question/7784687
B)Huh estuve she she eub navegue.
Answer:
5/31
Step-by-step explanation:
there are 31 days in January 5 of those are prefect squares (1,4,9,16,25)
