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
Strike441 [17]
2 years ago
15

Is this a proportional or nonproportional linear relationship?

Mathematics
2 answers:
BlackZzzverrR [31]2 years ago
8 0

Answer:

This is a proportional relationship

Step-by-step explanation:

The x values increase by 1 every time

The y values increase by 4 every time

Hope this helps!!

BlackZzzverrR [31]2 years ago
3 0

Answer:

Linear

Step-by-step explanation:

The numbers add by 4 it’s not scrambled

You might be interested in
Instruction
natulia [17]

Answer:

Step-by-step explanation:

Your question has typographical errors. The equation is 2a + b = 15.7, not 2e+b-15.7

2a + b = 15.7

b = 15.7  - 2a

since a > b, a = 6.3 cm

b = 15.7 - 2·6.3 = 3.1 cm

3 0
3 years ago
Graph quadrilateral ABCD and find the most precise name (square, rectangle,
Pavlova-9 [17]

Answer:

Kite

Step-by-step explanation:

To graph quadrilateral with points:

A(-1,-2)

B(5,1)

C(-3,1)

D(-1,4)

Thus, we graph the the given points and join the corners. The quadrilateral formed has the following features:

Measure of segment AB= Measure of segment BD = 6.708 units

Measure of segment AC= Measure of segment CD = 3.605 units

Thus, adjacent pair of sides of the quadrilateral are congruent.

Major diagonal BC cuts the minor diagonal AD at point E such that:

Measure of segment AE= Measure of segment ED = 3 units

m∠AEB = m∠DEB = 90°

Thus, major diagonal is a perpendicular bisector of the minor diagonal.

The above stated features fulfills the criterion of a kite.

Hence, the given quadrilateral ABCD is a kite.

8 0
3 years ago
A bag contains 5 red marbles and 4 green marbles. What is the probability of choosing a red marble then a green marble, without
STALIN [3.7K]
It will be 5 out of 9 times you will pull a red marble
5 0
3 years ago
What does sec 2pi equal?
Vikentia [17]
Secant is the same as 1/cos so you can just write it as 1/2pi then you can put that into your calculator as 1/cos(2pi) and it equals 1.

6 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
Other questions:
  • An open box is made from a ​30-cm by 60​-cm piece of tin by cutting a square from each corner and folding up the edges. The area
    11·1 answer
  • Two million three hundred and twenty thousand five hundred and two as a number
    8·2 answers
  • Help plz<br> What is 35% of 600??
    11·1 answer
  • What is the square root of 5325 subtracted by the cubed root of 5734?
    8·1 answer
  • Simplify √ 105 . A. 2√ 3 B. √ 105 C. 2√ 7 D. √ 42
    5·2 answers
  • A computer’s hard disk is spinning at 75 revolutions per second. How many degrees does it travel in a second? in a minute?
    10·1 answer
  • Round the following factors to estimate the products
    12·1 answer
  • A civic group is selling bumper stickers as a fundraiser. During the first week, they sold 500 bumper stickers. During the secon
    13·2 answers
  • Please Help! I will give you a lot of points!
    15·1 answer
  • Please help meeeeeeereerreee
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!