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musickatia [10]
3 years ago
14

The total number of seats in a theatre is modeled by f(x)=x^2-3x, where x represents the number of rows of seats. How many rows

are there in the theatre if it has a total of 208 seats
Mathematics
1 answer:
Gre4nikov [31]3 years ago
7 0

Answer:

16 rows

Step-by-step explanation:

x² - 3x = 208

Subtract 208 from both sides

x² - 3x - 208 = 0

Factor

(x - 16)(x + 13) = 0

x = {-13, 16}

The number of rows must be positive

x = 16

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AlexFokin [52]

Answer:

33y+16

Step-by-step explanation:

Break apart the problem:

-4(-4-7y)=16+28y

5y+16+28y=33y+16 (Add like terms)

5 0
3 years ago
There are 12 inches for every 1 foot. How many inches are equivalent to 4 feet?
Fantom [35]

Answer:

48 inches

Step-by-step explanation:

12 in=1

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Add 12 everytime

4 0
3 years ago
What is the best approximation for the input value when f(x)=g(x)?
Lostsunrise [7]

Answer:

x=0 and x=1.

Step-by-step explanation:

If we have to different functions like the ones attached, one is a parabolic function and the other is a radical function. To know where f(x)=g(x), we just have to equalize them and find the solution for that equation:

x^{2}=\sqrt{x} \\(x^{2} )^{2}=(\sqrt{x} )^{2}\\x^{4}=x\\x^{4}-x=0\\x(x^{3}-1)=0\\

So, applying the zero product property, we have:

x=0\\x^{3}-1=0\\x^{3}=1\\x=\sqrt[3]{1}=1

Therefore, these two solutions mean that there are two points where both functions are equal, that is, when x=0 and x=1.

So, the input values are  x=0 and x=1.

8 0
3 years ago
Read 2 more answers
When Jake took his dog, Rocky, to the vet in December, Rocky weighed 29 pounds 9 ounces. When he took Rocky back to the vet in M
faust18 [17]

Answer:

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Step-by-step explanation:

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7 0
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1/7 divided by 20/21
Sedbober [7]

Answer: 3/20

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7 0
3 years ago
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