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elena-s [515]
3 years ago
10

The total number of seats in an auditorium is modeled by f(x) = 2x2 – 6x, where x represents the number of rows. How many rows a

re there in the auditorium if it has a total of 416 seats?
Jose knows to solve for x to determine the number of rows. He decides to use his calculator. Under y =, he types in 2x^2-6x.

He gets the two solutions
x=0,x=3
Jose determines the auditorium has 3 rows.
Mathematics
1 answer:
stealth61 [152]3 years ago
7 0

Answer:

Jose's solution is not correct, the auditorium has 16 rows

Step-by-step explanation:

we have

f(x)=2x^{2} -6x

where

f(x)------> is the total number of seats in the auditorium

x----> represents the number of rows

How many rows are there in the auditorium if it has a total of 416 seats?

so

Find the value of x for f(x)=416 seats

substitute the value of f(x) in the equation

416=2x^{2} -6x

2x^{2} -6x-416=0

Using a graphing calculator

The values of x are

x=-13, x=16

The solution is

x=16 rows because the number of rows can not be a negative number

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Suppose Sally has $28.00 in her bank account and starts saving $18.25 every week. Her friend Suzy has $161.00 in her bank accoun
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a.

Sally has $28.00 in her bank account and starts saving $18.25 every week.

Let x represent the number of weeks from when he have $28.00 in her account.

and y represent the amount in her account at week x;

We can write the function of the case as;

y=mx+b

where m is the amount she saves every week, and b the initial amount in her account.

\begin{gathered} m=\text{ \$18.25} \\ b=\text{ \$28.00} \end{gathered}

So, the function will be;

y=18.25x+28

b.

Her friend Suzy has $161.00 in her bank account and is withdrawing $15 every week.​

Using the same rule as in a above;

\begin{gathered} m=-15\text{ (withdrawing is negative)} \\ b=161 \end{gathered}

The function will be;

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c.

The graph of the two functions is shown below;

d.

The point where the two lines intersect is shown in the graph above.

The point is at;

(4,101)

Which is at week 4 and balance $101.

e.

The point at which they intersect is the point where they both have the same values.

It is the week when both Sally and Suzy have the same amount in there account.

So, at the fourth week (week 4) Sally and Suzy both have $101 in their account

3 0
1 year ago
Alright have posted it now.
Mrrafil [7]
Hi again! so vertical angles are angles that are across from eachother, so it would be 5 and 7 and 6 and 8
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2 years ago
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