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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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Kendra swims 126 miles in 3 days, what is the constant rate that Kendra swims per day? a. 40 miles per day c. 42 miles per day b
Leni [432]

Answer:

c. 42 miles per day

Step-by-step explanation:

From the information given, you can use a rule of three to calculate the constant rate that Kendra swims per day given that she swims 126 miles in 3 days:

3 days → 126 miles

1 day   →        x

x=(1*126)/3=42 miles

According to this, the answer is that Kendra swims 42 miles per day.

5 0
2 years ago
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ohaa [14]

Answer: I got

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3 years ago
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8 0
2 years ago
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never [62]
X = 21, angle AGE = 98˚, and angle GHD = 98˚

Notice from the graph that angles AGE and BGH are supplementary. This means that their sum is 180˚. Therefore, to find the value of x, we must solve the equation (5x – 7) + (3x + 19) = 180

To do this, we must isolate the variable on one side by undoing the equation. We do this by first combining like terms. In this case, the variable values, and the non–variable values.

***Before doing this, make it all addition by converting – (+7) into + (–7)

So our equation is 5x + 3x + –7 + 19 = 180.

5x + 3x = 8x and –7 + 19 = 12      Now we have 8x + 12 = 180

This is a simple equation. We undo the addition by subtracting 12 from both sides:    8x + 12 – 12 = 180 – 12      8x = 168

Then, we undo the multiplication by dividing 8 by both sides:    8x ÷ 8 = 168 ÷ 8    x = 21      We can check to, as (5 • 21 – 7) + (3 • 21 + 19) = 180

Now, we can easily figure out the measurements of your angles: angle AGE = 5 • 21 – 7 = 98    So the measure of angle AGE = 98˚

Upon observing the diagram more closely, you can see that angle AGE and GHD are congruent, meaning they have the same measurements. This means that if angle AGE = 98˚, then so does angle GHD.

So, x = 21, angle AGE = 98˚, and angle GHD = 98˚

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