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Artist 52 [7]
3 years ago
13

The theater director recorded the number of seats occupied at past performances and the total revenue per

Mathematics
1 answer:
Norma-Jean [14]3 years ago
4 0

Answer:

  • <u>$45</u> (with the assumption made below)

Step-by-step explanation:

The equation is garbled; thus, to explain you I will assume the equation is

  • R(s) = -325 + 14s

Where:

  • R(s) is the revenue in dollars, as a function of the number of seats occupied.
  • s is the variable that represents the number of seast occupied
  • 14 is the rate of change of the revenue per seat occupied (the price of a ticket).
  • -325 is the fixed cost of the theater for a performance (the amount of money the theater will lose if none seat is occupied).

Thus, you can predict the revenue when 70 seats are occupied by substituting s with 70.

  • R(70) = -325 + 14(70)

  • R(70) = -325 + 980 = $655

The <em>residual value</em> from a prediction is equal to the real value (observed value) less the preducted value:

  • Residual = real revenue - predicted revenue
  • Residual = $700 - $655 = $45
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den301095 [7]

Answer:

The equation of line is: \mathbf{4x-3y=-18}

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and  (-3, 2)?

The equation of line in slope-intercept form is: y=mx+b

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: Slope=\frac{y_2-y_1}{x_2-x_1}

We have x_1=-6,y_1=-2, x_2=-3, y_2=2

Putting values and finding slope

Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}

So, we get slope: m=\frac{4}{3}

Finding y-intercept

Using point (-6,-2) and slope m=\frac{4}{3} we can find y-intercept

y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope m=\frac{4}{3} and y-intercept b = 6 is

y=mx+b\\y=\frac{4}{3}x+6

Now transforming in fully reduced form:

y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18

So, the equation of line is: \mathbf{4x-3y=-18}

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2 years ago
-5,-6,0,6 which pair of numbers has a sum of zero
ladessa [460]

Answer:

-6, 6

Step-by-step explanation:

I hope this helps :)

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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2 years ago
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