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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

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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3/4 + (1/3 ÷ 1/6) - (-1/2) =?

stepladder [879]

Answer:

[See Below]

Step-by-step explanation:

✦ Turn fractions into decimals:

$\frac{3}{4} =0.75$

$-\frac{1}{2} =-0.5$

(We will do something different for $\frac{1}{3}$ and $\frac{1}{6}$ .)

✦ Divide:

$\frac{1}{3}$ ÷ $\frac{1}{6}=2$

(Since the denominators are multiplies of each other we can divide them without having to change them into decimals.)

✦ Simplified Equation:

$0.75+2-(-0.5)$

✦ Add:

$0.75+2=2.75$

✦ Subtract:

$2.75-(-0.5)=3.25$

(Subtraction rule is if there is 2 negatives next to each other in a problem it turns into a positive.)

✦ So your answer would be:

$\frac{13}{4}$ (Exact Form)

$3~ \frac{1}{4}$ (Mixed Number Form)

$3.25$ (Decimal Form)

~<em>Hope this helps Mate. If you need anything feel free to message me. </em>

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3 years ago

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Varvara68 [4.7K]

You just substitute the value of x in the given equation:

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f(x) : a name given to the equation
f(-4): refer to the equation when the value of the independent variable x has the value between the brackets.

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