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sammy [17]
2 years ago
5

Peter is the owner of a hotel. He has found that when he charges the nightly cost of $139, the average occupancy is 275. In addi

tion, Peter has found that with every $10 increase in the average nightly cost, the hotel occupancy decreases by an average of 22.
Which of the following functions describes the hotel's profit in terms of x, the number of $10 increases over $139?
Mathematics
1 answer:
zimovet [89]2 years ago
3 0

Answer:

Without price increase, Cost/night = $119

Average occupancy = 372 The revenue will be 119*372 = $44,268

For every $15 price increase, the occupancy decreases by 25. Therefore with x price increases, The revenue will be $(119 + 15x)*(372 25x)

Cost/night = $119 + 15x Occupancy = 372 - 25x

Answer:

The nightly cost with x $15 price increases is $119 + 15x.

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Determine the equation of the tangent to x− 3x +1 at the point (3,1)
wariber [46]

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Answer:

  y = 3x -8

Step-by-step explanation:

We assume you want the tangent to the parabola y = x² -3x +1 at the given point. The slope is found using the derivative of the function at that point.

  y' = 2x -3

At x=3, the slope is ...

  y' = 2(3) -3 = 3

The equation of the line through point (3, 1) with a slope of 3 is ...

  y -1 = 3(x -3) . . . .  use the point-slope form of the equation for a line

  y = 3x -9 +1 . . . . . eliminate parentheses, add 1

  y = 3x -8

4 0
3 years ago
A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure. Find a) the dis
Triss [41]

The distance covered by the motorcycle is 31.4 km and displacement will be equal to 0.

<h3>What is Distance and Displacement ?</h3>

Distance and Displacement both are the measure of the movement of an Object from one point to another.

Distance is a scalar quantity while Displacement is a vector quantity , and so it depends upon direction.

Distance travelled will always be positive but Displacement can be positive , negative and zero.

A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure

The missing figure is attached with the answer.

(a) The distance covered by the motorcycle is

2πr = 2 * 3.14 * 5 = 31.4 km

(b) The displacement will be equal to 0 as the starting and the ending point is same.

To know more about Distance and Displacement

https://brainly.in/question/47777661

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6 0
2 years ago
Identify the polynomial.<br><br> x3- y3 + z<br> a)monomial<br> b)binomial<br> c)trinomial ...?
fomenos
In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.
8 0
3 years ago
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Tolong bantu jawab please, makasih sebelumnya!
sweet [91]

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2x² - 3x - 2

Explain:

Use the FOIL method: (a +b)(c +d) = ac + ad +bc +bd.

2x² + x - 4x - 2

Collect like terms.

2x² + (x - 4x) - 2

Simplify.

2x² - 3x - 2

6 0
3 years ago
Can someone help me with and and can you please write how you got it so I can understand
EastWind [94]

Answer:

12x + 4

Step-by-step explanation:

ok so a rectangle has 4 sides, 2 of which are called lengths, and 2 of which are widths.

length = 2x-3

width = 4x+5

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2(2x-3) = 4x-6 (the total for lengths)

2(4x+5) = 8x+10 (the total for widths)

add the 2 together:

12x+4

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3 years ago
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