3 years ago

What is the slope of a line parallel to the line whose equation is 3 x + 3 y = − 27 3x+3y=−27.

Mathematics

1 answer:

Nata [24]3 years ago

4 0

the answer is y=-1/1x-9 so the slope is -1 over 1

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The average ticket price for a concert at the opera house was $50. The average attendance was 4000. When the ticket price was ra

kotegsom [21]

Answer

given,

opera house ticket = $50

attendance = 4000 persons

now,

opera house ticket = $52

attendance = 3800 person

assuming these are the points on the demand curve

(x, p) = (4000,50) and (x,p) = (3800,52)

using point slope formula

$p-50 = \dfrac{50-52}{4000-3800}(x - 4000)$

$p-50 = \dfrac{-2}{200}(x - 4000)$

$p-50 = \dfrac{-x}{100}+ 40$

$p = \dfrac{-x}{100}+ 90$

R(x) = x . p

$R(x) = x (\dfrac{-x}{100}+ 90)$

$R(x) = \dfrac{-x^2}{100}+ 90x)$

$\dfrac{d}{dx}(R(x)) = \dfrac{d}{dx}(\dfrac{-x^2}{100}+ 90x))$

$\dfrac{d}{dx}(R(x)) = (\dfrac{-2x}{100})+90)$

at $\dfrac{d}{dx}(R(x)) = 0$

$\dfrac{-2x}{100}= -90$

x = 4500

$\dfrac{d^2}{d^2x}(R(x)) = -ve$

hence at x =4500 the revenue is maximum

for maximum revenue ticket price will be

$p = \dfrac{-4500}{100}+ 90$

p = $45

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Layton made 117$ for 9 hours of work.at the same rate,how many hours would she have to work to make $65?

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Since she makes $13 per hour, she would have to work 5 hours to make $65.

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Which ratio is equivalent to the ratio 10:9? A 40 to 27 B 30:36 C 36 to 30 40:36

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The answer that you are looking for is A. 40 to 27

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3 years ago

Evaluate 2x + 4 if x=5. Please help me I will give your 5 stars !!!

zloy xaker [14]

Answer:

Step-by-step explanation:

2(5)+4

10+4

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3 years ago

Read 2 more answers