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Mila [183]
2 years ago
6

you and your friends go to the movies. The cost of admission is $9.50 per person. Create a table showing the relationship betwee

n the number of people going to the movies and the total cost of admission. Explain why the cost of admission is proportional to the amount of people.
Mathematics
1 answer:
belka [17]2 years ago
7 0

Hello There,

Since each ticket costs $9.50, the cost for one person must also be $9.50. For two people it would be $19.00 (9.50×2), and so on. The cost of the tickets are proportional to the amount of people. This is because the tickets sell at a constant rate, also know as the constant of proportionality, which in this case is 9.50.


Hope this Helps Have a Nice Day Bye

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F(x) = 3x^3 - 2x^2 - 11x + 10; (x + 2)<br><br> I need to factor and find the zeros.
Ratling [72]

Answer:

\textsf{Factored function}: \quad f(x)=(x+2)(3x-5)(x-1)

\textsf{Zeros}: \quad x=-2, \quad x=\dfrac{5}{3},\quad x=1

Step-by-step explanation:

<u>Given function</u>:

f(x)=3x^3-2x^2-11x+10

If (x + 2) is a factor then:

\implies f(x)=(x+2)(ax^2+bx+c)

Expand:

\implies f(x)=ax^3+bx^2+cx+2ax^2+2bx+2c

\implies f(x)=ax^3+2ax^2+bx^2+2bx+cx+2c

\implies f(x)=ax^3+(2a+b)x^2+(2b+c)x+2c

To find <em>a</em>, compare the coefficients of x³:

\implies a=3

To find <em>b</em>, substitute the found value of <em>a</em> into the coefficient for x² and compare:

\implies 2a+b=-2

\implies 2(3)+b=-2

\implies b=-8

To find <em>c</em>, compare the constants:

\implies 2c=10

\implies c=5

Therefore:

\implies f(x)=(x+2)(3x^2-8x+5)

Now factor (3x²-8x+5):

\implies 3x^2-3x-5x+5

\implies 3x(x-1)-5(x-1)

\implies (3x-5)(x-1)

Therefore the factored function is:

\implies f(x)=(x+2)(3x-5)(x-1)

<u>Zero Product Property</u>

\boxed{\text{If \; $a \cdot b = 0$ \; then either \; $a = 0$ \;or \;$b = 0$ (or both)}.}

To find the zeros, set each factor equal to zero and solve for x:

\implies x+2=0 \implies x=-2

\implies 3x-5=0 \implies x=\dfrac{5}{3}

\implies x-1=0 \implies x=1

Therefore, the zeros of the function are:

x=-2, \quad x=\dfrac{5}{3},\quad x=1

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1 year ago
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Elenna [48]
Idk im just tryna complete a challenge lol

4 0
2 years ago
The total number of seats in a movie theater is calculated by adding the area of the upper section given by 8x2 and the area of
e-lub [12.9K]
8x^2+6x^2+4x=138  combine like terms on left side

14x^2+4x=138 since the number of seats in the from row is just 4x, subtract 14x^2 from both sides

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14x^2+4x-138=0

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x=3 and thus

4x=12 seats

So there are 12 seats in the front row addition.


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V = length x width x height

In this problem:

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Hope this helps!! :)

7 0
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Giving Brainliestttttttt to first answer that’s correct!
Luba_88 [7]

Answer:

I think C sorry if wrong

7 0
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