A hotel offers a reward program based on the number of night stayed. The function f(x) represents the number of free nights earned as a function of x , the number of night stayed. Which describes the meaning of f(x)?

Answers

Answer 1

Answer:

a. A customer earns 1 free night per 10 nights stayed.  

Step-by-step explanation:

The missing function is:

f(x) = x/10  

The missing options are:

a. A customer earns 1 free night per 10 nights stayed.  

b. A customer starts with 1 free night and then earns another free night after every 10 nights stayed.

c.A customer earns x – 10 free nights for every 10 nights stayed.  

d. A customer earns 10 free nights after x number of nights stayed.

The function means that after a customer stayed 10 nights, a free night is earned. That is, replacing x = 10 into the function, we get:

f(10) = 10/10  = 1

which means 10 nights are equivalent to 1 free night.


Related Questions

Pentagon ABCDE is rotated 90 degrees counterclockwise about the origin to form pentagon A’ B’ C’ D’ E’. What is the y-coordinate if point C’?

Answers

Answer:

4

Step-by-step explanation:

When rotating a point 90 degrees counterclockwise about the origin the  point A(x,y) becomes A'(-y,x).

Point C has coordinates of (4, 3)

New coordinates will be C'(-3, 4)

So the answer is:

y-coordinate of C' is 4

Answer:

4

Step-by-step explanation:

Hope this helped!

Write an equation of the line that passes through (2, −2) and is parallel to the line y=3x+9.

Answers

Step-by-step explanation:

Parallel lines have the same slope, so we know that our line will have a slope of 3 because y = 3x + 9 has a slope of 3. Now, we can use the point-slope formula of the line to find the equation.

We have y - y₁ = m (x - x₁)          (m = 3, x₁ = 2, y₁ = -2)

               y- (-2) = 3 (x - 2)

               y + 2 = 3x - 6

               y = 3x - 8

Hope this helps!

Answer:

y = 3x - 8

Step-by-step explanation:

We know that parallel lines have the same gradient. In this situation we want want to work the equation of the line that is parallel to y = 3x + 9 and passes through ( 2 , - 2 ). We know that equations of lines usually go in the format of    y = mx + c

↔ Where 'm' is the gradient / slope

↔ Where 'c' is the y - intercept

Using the information in the first sentence we can set up an equation to find the value of 'c'

⇒ Form the equation

→ y = 3x + c

⇒ Substitute ( 2 , -2 ) into the equation to find the value of c

→ -2 = 6 + c

⇒ Minus 6 from both sides to isolate c

→ -8 = c

⇒ Put the value of c back into y = 3x + c

→ y = 3x - 8

So equation of the line that passes through ( 2, −2 ) and is parallel to the line y = 3x + 9 is y = 3x - 8

who can help me find the volume of this planets ?

Answers

Answer:

mercury V= 6.08×10^10

venus V=9.29×10^11

earth V= 1.09×10^12

mars V= 1.63×10^11

jupiter V= 1.43×10^15

saturn V= 8.27×10^14

uranus V= 6.83×10^13

A circle has a circumference of 150 meters. What is the measure of its radius? Round
to the nearest tenth.
circumference 150 m



Answers

Answer:

23.9 is the radius

Step-by-step explanation:

150/3.14 =47.7707006369

47.7707006369/2 = 23.8853503185

Round to nearest tenth = 23.9

Hope this helps!

Answer:

23.9

Step-by-step explanation:

HELP PLEASEEEEEEE
SOLVE FOR VOLUME

Answers

Answer:

volume = area of triangle * height = 12.124355653*14/2    *    20 = 1697.40 m3

Step-by-step explanation:

the triangle is equilateral triangle ->

a^2 = 14^2 - 7^2 = 147

-> a = 12.124355653

volume = area of triangle * height = 12.124355653*14/2    *    20 = 1697.40 m3

Answer:

[tex]196meters^2[/tex]

Step-by-step explanation:

The formula for the area of a triangle is : [tex]\frac{base*height}{2}[/tex]

To work this out you would first have to work out the area of the triangle. You can do this by multiplying the base of 14 by the height of 14, this gives you 196.

The next step is to divide the answer of 196 by 2, this gives you 98. This is because the formula is the same as that for the area of a square and that a triangle would be half of a square with the same dimensions.

The final step is to multiply 98 by the length  of 20, this gives you 1960 meters cubed.

1) Multiply 14 by 14.

[tex]14*14=196[/tex]

2) Divide 196 by 2.

[tex]196/2=98[/tex]

3) Multiply 98 by 20.

[tex]98*20=196meters^2[/tex]

HELP PLZZZ
I DONT UNDERSTAND THIS IK IK IM DUMB

Answers

Answer:

radius r = 8 ft

volume V = 2144.66058 ft³

surface area A = 804.247719 ft²

circumference C = 50.2654825 ft

Step-by-step explanation:

Answer:

2 144.7 ft³

Step-by-step explanation:

So the diameter of this sphere is 16ft.

The equation of the volume of a sphere is [tex]\frac{4}{3}[/tex]πr³.

r is the radius which is half of the diameter. So half of 16 is 8.

Now all you have to do is the equation 4 x π x (8)³ divided by 3.

That should equal 2 144.7 ft³

the ratio of boys and girls at the park 9 to 6 and there were 45 boys how many girls are there?

Answers

Answer:

30

Step-by-step explanation:

9 boys: 6 girls

45 boys: ? girls

9 x 5 = 45

6 x 5 = 30

This table shows the area in inches of four rectangular scraps of fabric.

What is the median of the sizes of the four scraps of fabric?

78 in²

80 in²

82 in²

84 in²

table:
Scrap Area (in²)

A 84
B 72
C 80
D 84

Answers

Answer: 82

Step-by-step explanation:

(80+ 84) / 2

164/2

Answer:

82

Step-by-step explanation:

Use the diagram below to find the distance between points (-6, 5) and (-1, -7).

A. 13 units

B. 19 units

C. 6 units

D. 17 units

Answers

Answer:

A. 13 units

Step-by-step explanation:

using distance formula

(x2-x1)^2 + (y2-y1)^2 in roots

(-1+6)^2 + (-7-5)^2 in roots

5^2 + 12^2 in roots

25 +144 in roots

169 in roots

13 units

Find the range of the data in the box plot below.​

Answers

Answer:

Range: 20

General Formulas and Concepts:

Statistics

Range - the difference between the highest and lowest point

Step-by-step explanation:

Step 1: Define

Find values from box-and-whisker plot.

Highest point recorded = 25

Lowest point recorded = 5

Step 2: Find Range

Set up:                    25 - 5Subtract:                 20

Find the exact solution of the equation. 7^x=8

Answers

Answer:

[tex] log_{7}(8) [/tex]

Find the value of x and y. Will mark brainliest.

Answers

Answer:

y=3, x=5

Step-by-step explanation:

18=6y, so divide both sides by 6 to get 3=y.

45=9x, so divide both sides by 9 to get x=5.

Answer:

x=5 y =3

Step-by-step explanation:

Opposite interrior angles have the same Number of degrees. So 9x=45. X has to be 5. y = 3 because 3 times 6 is 18. Which is the same number as the opposite vertical side.

can someone answer this please
f(x)=(x+4)^2
f(x)=x^2+4
f(x)=(x-4)^2
f(x)=x^2-4​

Answers

The answer would be f(x)=(x+4)^2

Are my answers correct?

Answers

Answer:

I would have got the same answers so probably yea

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

According to my understanding I believe you are correct!

PLEASE HELP...SOLVE FOR VOLUME

Answers

Answer:

to get volume you have to do this base x height

Step-by-step explanation:

12 x 8 is 96 that the base

next base times height  which is 1996.8 however since the shape is a triangle and not a square you have to divide by 2 so the answer is 998.4 m^2

Answer:

volume = 12* 19.2*8/2 = 921.6 m3

Step-by-step explanation:

20.8^ 2 - 8^ 2 = a^2 = 19.2^ 2

volume = 12* 19.2*8/2 = 921.6


Which of the following has contributed to flooding in India?
I. India receives an excessive amount of rainfall.
II. India's coastal regions experience many cyclones.
III. India's deforestation makes it harder for soil to absorb water.
CA
II and III
B. Tand III
OC. I and II
D. I, II, and Ill

Answers

Answer:

| and ||

Step-by-step explanation:

Answer:

The answer is I, II, and III

Step-by-step explanation:

math help pls, will reward.

Answers

Answer:

6. B

7. A

8. A

9. A

Step-by-step explanation:

6. As x approaches ∞ (as x goes to the right), y approaches ∞ (y goes up).

7. f(x) = -x⁴ + 5x³ − 2x + 5

The leading coefficient is negative, and the highest power is 4 which is even.  So as x→-∞, f(x)→-∞, and as x→∞, f(x)→-∞.

8. The roots are 3, -4, and 1, so the polynomial is:

f(x) = (x − 3) (x − (-4)) (x − 1)

f(x) = (x − 3) (x + 4) (x − 1)

9. The roots are 0 (multiplicity of 1), 1 (multiplicity of 2), and -2 (multiplicity of 2).

f(x) = (x − 0)¹ (x − 1)² (x − (-2))²

f(x) = x (x − 1)² (x + 2)²

help asap please tyyy

Answers

Answer:

I believe its the blue (42 u^2)

Step-by-step explanation:

Answer:

It would be 42u^2.

Step-by-step explanation:

This is because there are 42 squares if you count them all up.

Or you can do (9)*2 + (6)*4 to get it.

How many different outcomes can happen from spinning a four-section spinner twice, according to the diagram given?
red
yellow
red
yellow
blue
green
red
yellow
blue
green
red
yellow
blue
green
red
yellow
blue
green
blue
green
2000 Gayriyon, no
4
8
12
16

Answers

8 different outcomes

find the output, y, when the input, x, is -7​

Answers

Answer:

y = -6

Step-by-step explanation:

We want to find the y value on the graph when x = -7

Got to x = -7 and find the value  of the blue line

y = -6

Answer: y = 4

Step-by-step explanation: We should look for the point on the graph whose x-coordinate is 7.

The point on the graph whose x-coordinate is 7 is the point (7,4). When the input is 7, the output is 4.

Hint #33 / 3

When the input is 777, the output is 444.

The table and the graph below each show a different relationship between the same two variables, x and y:



How much more would the value of y be on the graph than its value in the table when x = 12?
A. 20
B. 90
C. 150
D. 180

Answers

Answer:

The answer is A.

Step-by-step explanation:

thats what i think

Factor the polynomial.

216x^3-64

Answers

(6x-4) (36x^2 +24x +16)

The function g(n) = n2 − 16n + 69 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)

Part C: Determine the axis of symmetry for g(n). (2 points)

Answers

Answer:

Step-by-step explanation:

A) y + ? = n^2 - 16n + ? + 69

y + 64 = n^2 -16n + 64 + 69

y + 64 = (n-8)^2 + 69

y = (n-8)^2 + 5

B) vertex is (8,5) because the value of a vertex is always (h,k) from the parent vertex function:

y = a(x-h) + k

it's a minimum only because the (a) value is positive

C) axis of symmetry = 8

Given a cylinder with a surface area of 2532 cm (squared) and radius of 9 cm, calculate the height of this cylinder to the nearest tenth.
A. 36 cm
B. 282.6 cm
C. 45
D. 10

Answers

Answer:

A. 36.4cm = h

Step-by-step explanation:

A=2πrh+2πr²               This is the equation to find the surface area of a cylinder

2532 = 2π(9)h + 2π(9)²       Multiply

2532 = 18πh + 2π(81)          Multiply

2532 = 56.55h + 162π        Multiply

2532 = 56.55h + 508.94  

-508.94              - 508.94   Subtract 508.94 from both sides

2023.06 = 56.55h               Divide both sides by 56.55

36.4cm = h

If this answer is correct, please make me Brainliest!

The length of a rectangle is 1 foot less than twice the width. If the area is 45 ft2, find the length and width.

Question 13 options:

A)

Width = 9∕2, length = 10

B)

Width = 4, length = 7

C)

Width = 9, length = 10

D)

Width = 5, length = 9

Answers

Answer:

i think a its closest to 45 and ft 2

Step-by-step explanation:

The sum of two numbers is no more than 28. Let x represent the first number, and let y represent the second number. Which
inequality represents this situation?

Answers

Answer:

Step-by-step explanation:

Let x the 1st and y the 2nd number. So the sum.of x and y means x+y is no more 28. That means is less than 28

So x+y<=28 or x+y<28.

Answer:

Answer is D

Step-by-step explanation:

Identify the value of r and a1 for each geometric
series.
8 + 4 + 2 + 1 + ...

Answers

Answer:

Step-by-step explanation:

Answer:A,E

second part 1.5,2. .5,8

Step-by-step explanation:

A square picture frame encloses an area of 29 square inches. Its owner claims that the frame sides are between 5.25 and 5.35 inches long. Is the owner correct? Why or why not?

Side length = ______ inches

Answers

Answer:34.2479 inches

Step-by-step explanation:

And: 34.29cm inches

A laptop is in the shape of a rectangular prism. The laptop has a length of 14 inches, a width 10 inches, and a height of 1 inch. Eryday it's the volume of the laptop?

Answers

Answer: Volume is 140

Step-by-step explanation:

0.00003
2 x 10-5
=
?

Answers

Answer:

[tex]0.00003=3[/tex]×[tex]10^{-5}[/tex]

[tex]2[/tex]×[tex]10^5[/tex] = [tex]200,000[/tex]

Step-by-step explanation:

When working with scientific notation, you are either given a decimal or whole number. The point of scientific notation is to rewrite a number in a more simplified form.You need to change the number so that there is one number on the left side of the decimal. An exponent is used to describe the change in the number. For example:

0.00003

In order to get one number to the left of the decimal, you need to move the decimal to the right 5 spaces. Since the zeros are to the left of the primary number (3), the exponent will be negative. The exponent itself will be the spaces you moved:

[tex]3[/tex]×[tex]10^{-5}[/tex]

The ten is used because of the decimal places you are moving. When you multiply a number by 10, you add a zero. For example:

[tex]2[/tex]×[tex]10^5[/tex]

Since there is a 10, we will be adding in zeros. The exponent determines how many zeros will be added. Since it is a positive number, the numbers will be to the right of the primary number:

200,000

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