1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sammy [17]
2 years ago
15

A function is a relation in which each element in the input is mapped to how many elements in the output?

Mathematics
1 answer:
Scilla [17]2 years ago
7 0
One input can map out multiple outputs
You might be interested in
Please hurry!!! Chose the equation below that represents the line that passes through the point (7,-2) and has a slope of -3
Varvara68 [4.7K]

Answer:

y + 2 = -3(x - 7)

Step-by-step explanation:

Write the equation using the point slope form y - y_1 = m(x-x_1). Substitute m = -3 and (7,-2).

y --2 = -3(x-7)\\y + 2 = -3(x-7)\\y +2 = -3x +21\\y = -3x +19

3 0
3 years ago
A motel owner observes that when a room is priced at $60 per day, all 80 rooms of the motel are occupied. For every $3 rise in t
Zinaida [17]

Answer:

a) p(x) = 300 - 3

b) P(x) = -3 x² + 285 x

c) Price of per room per day  = $ 157.5

when Number of rooms occupied , x = 47.5

Step-by-step explanation:

Given - A motel owner observes that when a room is priced at $60 per day, all 80 rooms of the motel are occupied. For every $3 rise in the charge per room per day, one more room is vacant. Each occupied room costs an additional $15 per day to maintain.

To find - a) Find the demand function, expressing p, the price charged for each room per day, as a function of x, the number of rooms occupied.

             b) Find the profit function P(x).

             c) Find the price of per room per day the motel should charge in order to maximize its profit.

Proof -

a)

Let

(x, y) be the point

where x represents number of rooms occupied

and y represents price of room per day.

Now,

Given that,

a room is priced at $60 per day, all 80 rooms of the motel are occupied.

So, point becomes (80, 60)

And  given that For every $3 rise in the charge per room per day, one more room is vacant.

So, point becomes (79, 63)

Now, we have two points (80, 60), (79, 63)

Let us assume that,

p(x) be the price charged for each room per day

Now,

By using point - slope formula , we get

p -60 = \frac{(63 - 60}{(79 - 80)} (x - 80)

⇒p -60 = (-3)(x-80)

⇒p-60 = 240 -3 x

⇒p(x) = 240 + 60 -3 x

⇒p(x) = 300 - 3 x

b)

Given that,

Each occupied room costs an additional $15 per day to maintain.

Let C(x) be the cost function,

Then C(x) =15 x

now,

Revenue function,

R(x) =x*p

      = x*(300 -3 x )

      = 300 x - 3 x²

⇒R(x) = 300 x - 3 x²

Now,

We know

Profit function = Revenue function - Cost function

⇒P(x) = R(x)-C(x)

⇒P(x) = (300 x -3 x²) -15 x

⇒P(x) = -3 x² + 285 x

c)

P'(x) = -6 x +285

For Maximize profit , Put P'(x) = 0

⇒-6 x+ 285 =0

⇒6 x= 285

⇒x = \frac{285}{6}

⇒x= 47.5

∴ we get

Maximize profit is when price, p = 300 - 3x

                                                      = 300 -3(47.5)

                                                      = $157.5

⇒Price of per room per day  = $ 157.5

when Number of rooms occupied , x = 47.5

5 0
3 years ago
PLS HELP ASAP GIVE BRAINLIEST TO PERSON WHO ANSWER CORRECTLY
kirill115 [55]

Answer:

OK the 1st answer is data and the 2nd answer is data point I am so sorry if I get it if I got it wrong I am trying my hardest right now I'm only in 8th grade it is so hard for me and I still need help on questions to but you seem like a great person I am sorry if I got it wrong I tried to hurry

6 0
2 years ago
Read 2 more answers
If you make $11.25/hour, how many hours will you need to work to earn $416.25? Please explain how you figured this out.
Andreas93 [3]
37 hours, you divide 11.25 by 416.25
7 0
3 years ago
Read 2 more answers
A family has two cats named Gordo and Flaco. Gordo weighs 15 pounds and Flaco weighs 8 pounds. A cat’s weight is classified as u
Elena-2011 [213]

Answer:

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes Gordo unhealthy.

Step-by-step explanation:

μ = mean weight = 9.5 pounds

σ = standard deviation = 1.5 pounds

This is a normal distribution problem

We first calculate the limit of the bottom 5% of weights

Let the z-score for this limit be z'

P(z < z') = 0.05

From the normal distribution table,

z' = -1.645

And the limit for the top 5% which is z" = 1.645.

The weight that corresponds to these scores are then calculated.

Standardized scores are given as

z = (x - μ)/σ

So,

z' = (limit for the bottom 5% - μ)/σ

-1.645 = (limit for the bottom 5% - 9.5)/1.5

limit of the bottom 5% = (-1.645)(1.5) + 9.5 = 7.033 pounds

z" = ( (limit for the top 5% - μ)/σ

1.645 = (limit for the top 5% - 9.5)/1.5

limit of the bottom 5% = (1.645)(1.5) + 9.5 = 11.968 pounds

Therefore the healthy weight range for cats is (7.033 < x < 9.968)

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes the cat unhealthy.

Flaco's weight = 8 pounds

Flaco's weight lies in the healthy weight range for cats. Hence, Flaco is a healthy cat.

8 0
2 years ago
Other questions:
  • Based on his past record, Luke, an archer for a college archeny practice L auke wesent the number on his past record, Luke, an a
    7·1 answer
  • You have determined that a statistical study is biased. What does this mean? A. Errors were made in data collection. B. Particip
    8·1 answer
  • Express in exponential form.<br><br> x = logby
    9·2 answers
  • Whole numbers are written on cards and then placed in a bag. Tyra selects a single card, writes down the number. and then placed
    7·1 answer
  • What is the area of a regular nonagon (9 sides) with side length of 15 cm and apothem of 20.6 cm? Round the answer to the neares
    10·1 answer
  • Twice a number increased by 5?? in algebraic expression
    5·2 answers
  • If 1/2 cup of white sugar is needed for one batch of oatmeal raisin cookies, how much white sugar is needed for 8 batches of coo
    8·1 answer
  • What is the equation of the line in slope-intercept form? y = _ x + _
    5·1 answer
  • Can someone please help me asap thank u
    15·2 answers
  • Write the equation of the line with x-intercept of -4 and y-intercept of 2. Hint:With those intercepts, (-4,0) and (0,2) are poi
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!