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allsm [11]
3 years ago
7

How does the graph of a inverse function

Mathematics
1 answer:
ale4655 [162]3 years ago
8 0

Answer:

B

Step-by-step explanation:

y=x you can imagine by drawing graph

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A motel has 20 rooms. If the manager charges $60 per room per night, all the rooms will be rented. For each $5 increase, one les
serious [3.7K]

Answer:

Rent: $80

Revenue: $1280

Step-by-step explanation:

We can solve this by representing the problem as an expression and finding the maximum of that

We know that revenue = number of sales * average price. If x represents the amount of 5 dollar increases, then we subtract x from 20 to get the total number of sales. For example, if there was 1 5 dollar increase, the number of sales would be 20-1 = 19. Similarly, the average price is equal to 60 + 5x, as we add $5 for each x. For example, if there were 3 $5 increases, it would cost 60 + 3 * 5 = 75 per room.

Therefore,

revenue = (20-x) * (60 + 5x)

= 1200 + 100x - 60x - 5x²

= -5x²+40x+1200

This is a quadratic expression -- we know it is one because it is of form ax²+bx+c, where a=-5, b=40, and c = 1200. Because the a is negative, the quadratic expression (which forms a parabola) opens downward, meaning that there is a peak of the expression at its vertex.

The x value of the vertex of a parabola given this form for the quadratic expression is (-b/2a) , which is (-40/(2*(-5))) = -40/-10 = 4 here, and plugging that into our equation,

y= -5x²+40x+1200

= -5 (4)²+40(4) + 1200

= -5 * 16 + 160 + 1200

= 1280 as our maximum revenue

Therefore, the amount of 5 dollar increases is 4, making the average price equal to 60 + 5 * 4 = 80 dollars

5 0
2 years ago
ILL GIVE BRAINLIEST.
marysya [2.9K]

Answer:

D

Step-by-step explanation:

There is only one variable in this situation which means you can rule out A and C, B is wrong because it said it wants Y, so D is your answer!

5 0
3 years ago
Read 2 more answers
In a certain town in the united states, 40% of the population are democrats and 60% are republicans. The municipal government ha
mixer [17]

Answer:

(a) 0.48, (b) 0.625, (c) 0.1923

Step-by-step explanation:

First define

Probability a person is a democrat: P(D) = 0.4

Probability a person is a republican: P(R) = 0.6

Probability a person support the measure given that the person is a democrat: P(SM | D) = 0.75

Probability a person support the measure given that the person is a republican: P(SM | R) = 0.3

Now for the Theorem of total probabilities we have

(a) P(SM) = P(SM | D)P(D)+P(SM | R)P(R) = (0.75)(0.4)+(0.3)(0.6) = 0.48

and for the Bayes' Formula we have

(b) P(D | SM) = P(SM | D)P(D)/[P(SM | D)P(D)+P(SM | R)P(R)] = (0.75)(0.4)/0.48 = 0.625

Now let SMc be the complement of support the measure, i.e.,

P(SMc | D) = 0.25 : Probability a person does not support the measure given that the person is a democrat

P(SMc | R) = 0.7: Probability a person does not support the measure given that the person is a republican,

and also for the Bayes' Formula we have

(c) P(D | SMc) = P(SMc | D)P(D)/[P(SMc | D)P(D)+P(SMc | R)P(R)] = (0.25)(0.4)/[(0.25)(0.4)+(0.7)(0.6)] = 0.1/(0.52)=0.1923

4 0
3 years ago
Joe is buying a jacket that originally costs $59.27 but is on sale for 10% off. Sales tax is 7%. What is the total cost of the j
postnew [5]
Hello!

10% off means there's a discount on the jacket, so we will be finding how much the discount is worth and then we'll subtract that from the original cost of the jacket. 
Sales tax is basically additional money added to the cost of an item, so we will find what the sales tax is on this and then add that to the cost.

59.27 * 10% = 5.927

59.27 - 5.927 = 53.343

Now, find and add the sales tax. 

53.343 * 7% = 3.73401

53.343 + 3.73401 = 57.07701

Round this to 57.1

The total cost of the jacket is $57.1.
7 0
3 years ago
Read 2 more answers
Lesa's cell phone plan costs her $56 each month. Her carrier charges her $0.12 for each text message over her plan's limit of 35
Serga [27]

Answer:

63.8

Step-by-step explanation:

8 0
3 years ago
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