A customer earns 1 free night per 10 nights stayed.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Here, we have,
A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.
f(x)=x/10
When we put x=10, we get f(1)=10/10=1
Here f(1) represents the number of free nights earned by the customer is 1 per 10 nights stayed.
When we put x=20, we get f(2)=20/10=2
Here f(2) represents the number of free nights earned by the customer is 2 per 20 nights stayed.
When we put x=30, we get f(3)=30/10=3
Here f(3) represents the number of free nights earned by the customer is 3 per 30 nights stayed.
When we put x=40, we get f(4)=40/10=4
Here f(4) represents the number of free nights earned by the customer is 4 per 40 nights stayed.
Then, the pattern permits you to conclude that a customer earns 1 free night for every 10 nights stayed.
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complete question:
a hotel offers a reward program based on the number of nights stayed. the function f(x) represents the number of free nights earned as a function of x, the number of nights stayed. f(x)
Help please!! i will give brainliest
Answer:
[tex]for \: - 1 \leqslant x < 1 \: y = - 3 \\ for \: \: 1 \leqslant x < 3 \: \: y = 1 \\ for \: 3 \leqslant x \leqslant 5 \: y = 5[/tex]
How would the domain and range of the function
Y = (1/4)x - 6
be determined? Explain.
Answer:
Domain and range both [tex](-\infty, \infty)[/tex]
Step-by-step explanation:
The range is determined by finding the domain of the inverse of the function(if it has one, in this case it does). The domain is easily determined, because [tex]x[/tex] can obviously range from [tex](-\infty, \infty)[/tex] without restriction.
The inverse of the function can be found as such:
[tex]x=(1/4)f^{-1}(x)-6\\x+6=(1/4)f^{-1}(x)\\4(x+6)=f^{-1}(x)\\f^{-1}(x)=4x+24[/tex].
Here, [tex]x[/tex] can also range from [tex](-\infty, \infty)[/tex] without restriction.
So, the domain and range are both [tex]\boxed{(-\infty, \infty)}[/tex]
HELP MEEEE !! I’m stuck
Answer:
10
Step-by-step explanation:
because it is what it is i just did the math
For the function f(x) whose graph is shown below, what is the value of f(5)?
We want to look at the given graph to estimate the value of f(5). We found that: f(5) = 2
In the coordinate axis, we can see a blue curve, which represents the function f(x).
To find the value of f(5), first, we need to locate the value x = 5 on the horizontal axis.
Once we find it, we need to move vertically until we meet the curve.
Once we meet the curve, we move horizontally until we meet the vertical axis, that intersection gives the value of the function when evaluated in x = 5.
By this method we can see that: f(5) = 2
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solve for k.
k(4r−5)≥12r−9
Answer:
[tex]k = \frac{12r - 9}{4r - 5} \\ [/tex]
Step-by-step explanation:
[tex]k(4r - 5) \geqslant 12r - 9 \\ k = \frac{12r - 9}{4r - 5} \\ [/tex]
Anybody help with the question, please?
Write the equation for a parabola translated horizontally 5 units to the left.
Quadratic shifted left by
1 unit vertical stretch by a
factor of 1.
Answer:
1(x+1)^2
Step-by-step explanation:
Ulysses wants to find the area of the trapezoid shown. Complete the table to show how Ulysses could divide a trapezoid into simpler figures to find its area.
The answer is attached below
Giving brainliest, 50 points (answer both questions with solutions)
Answer:
See belowStep-by-step explanation:
#6[tex](3x^3)^2*(2x)^3=3^2x^{3*2}*2^3x^3=9*8*x^6x^3=72x^{6+3}=72x^9[/tex]#7[tex](x^4y^{-7}/x^{-2}y^4)^2=(x^{4+2}y^{-7-4})^2=(x^6y^{-11})^2=x^{12}y^{-22}=x^{12}/y^{22}[/tex]help me with this:((((
Find the slope of the line that passes through (6, 3) and (9, 5).
Answer:
2/3
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - 3 / 9 - 6
2/3
Renting a kayak costs $10 per hour. renting a canoe cost $5 per hour plus a $7 fee. Which equation could be used to determine h, the number of hours for which they each cost the same ?
find the LCM of 30,42,60
Answer:
420
Step-by-step explanation:
hope it helps
-thank you
Answer:
420
Step-by-step explanation:
hey there!
multiple of 30=2*3*5
multiple of 42=2*3*7
multiple of 60=2*3*3*5
common factors=2*3*5
other factors=7*2
multiplying common factors and other factors we get;
the required answer as 420
hope it helps!!!
1
Select the correct answer.
What is the solution for t in the equation?
It - t = 2
=
.
t =
7
30
A. B.
t
11
O C.
t = 6
OD.
30
what is 15+3(2x-4)-4x can you help please
Answer:
2x+3
Step-by-step explanation:
4. Identify the graph of the solution set of 9 > 3 + 2x.
Answer:
A
Step-by-step explanation:
9 > 3 + 2x
6 > 2x
3 > x
or
x < 3
and that means 3 is NOT included (otherwise there must be a smaller or equal sign). hence A is the right answer.
The graph of the solution set [tex]9 > 3 + 2x[/tex] is represented by the inequality relation x < 3.
The correct answer is Option A.
Given data:
The inequality is represented as 9 > 3 + 2x
The solution set of the inequality 9 > 3 + 2x can be found by isolating x on one side of the inequality:
Subtract 3 from both sides: 9 - 3 > 2x
Simplify: 6 > 2x
Divide both sides by 2: 3 > x
So, the solution set is x < 3.
Graphically, this represents all the values of x that are to the left of (less than) 3 on the number line. It forms an open interval to the left of 3. The graph consists of all real numbers less than 3, not including 3 itself. In interval notation, this can be written as (-∞, 3).
Hence, the inequality is x < 3.
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How do you determine the domain of a function ?
Answer:
Let y = f(x) be a function with an independent variable x and a dependent variable y.
If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that
chosen x-value is said to belong to the domain of f. If there is a requirement that a y-value produced by a function
must be a real number, the following conditions are commonly checked:
1. Denominators cannot equal 0.
2. Radicands (expressions under a radical symbol) of even roots (square roots, etc)
cannot have a negative value.
3. Logarithms can only be taken of positive values.
4. In word problems physical or other real-life restrictions might be imposed, e.g. time is
nonnegative, number of items is a nonnegative integer, etc.
Answer:
the domain is a set of all possible numbers inputs for that function, THe range is all the possible output numbers
i hope this helps
plz help with 10-11 if you don’t mind
Properties used:
All angles of a triangle add up to 180 degrees
180 is a straight line; so both sides of a straight line add up to 180
10) 180 - 153 = 27
180-27-133 = ?
? = 20 degrees
11) 180-87=93
180-93-23=?
? = 64 degrees
Answer:
11.) Angle FED = 20 Degrees | 12.) Angle FHG=74
Step-by-step explanation:
11.) Angle FED= 20 degrees
one side of a straight line = 180 degrees
all the angles of the insides of a triangle added together = 180 degrees
If angle EDF is 153 degrees, we do 180 - 153 = 27 degrees. Now we know that angle FDE = 27 degrees. Now we add all the angles we have together. 133+?+27=180. (133+27=160) If 160+?=180, we solve it by doing: 180-160, and we get 20.
12.) Angle FHG=74
For this problem, we use the same formulas as before. So let's solve!
180-87=93. So angle GFH=83 degrees.
Now we need to add the angles together:
83+23+?=180. 83+23=106
180-106=74.
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If you like this answer, please click 5 stars and give me brainliest!! Tysm!! (I'm trying to level up)
1.24 • 10 - 6 scientific notation
Answer: 0.00000124
Step-by-step explanation:
Answer:
the awnser is - 5.876
Step-by-step explanation:
i just did the test
What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?
Step-by-step explanation:
1.5x + 6-3= 4.5x- 2
1.5x+3=4.5x-2
we transposed
4.5x-1.5x= 3+2
3x= 5
we divide both sides by 3
3x/3= 5/3
x= 5/3
12 divided by 478 using compatible numbers and to find two estimates
Answer:
we get 48 if we divide both:)
What is the equivalent ratio to 7 : 20
Answer:
14:40
Step-by-step explanation:
always, sometimes, or never true?
Answer:
Sometimes true, because x could be anything
Step-by-step explanation:
What do you do in your free time? :D
Answer:
sleep most definitely worth it
Answer:
heyyy
Step-by-step explanation:
I eat and watch TV. i also like drawing, and math a lot so i do those things too. I also kinda like sudoku LOL
What is the value of the 3 in this number?
is the value of this number.
Answer:
3?
Step-by-step explanation:
HURRY!!!
what is the value of (-1/2) to the -4 power
Answer:
16
Step-by-step explanation:
(c)
The table shows the opening times of the wildlife park.
Opening times
Days
Monday to Friday
Saturday and Sunday
0930 to 1715
1000 to 18 30
(i) Work out how long, in hours and minutes, the wildlife park is open on a Wednesday.
h
(ii) Calculate the total time, in hours and minutes, that the wildlife park is open in one ye
Based on the information given in the table, the opening hours on Wednesday and throughout the year is 7 hours , 45 minutes and 845 hours respectively.
Opening times ::
Monday to Friday : 09:30 - 17:15 Saturday and Sunday : 10:00 - 18:30Opening duration on Wednesdays :
Closing time - Opening time on weekdays :
17:15 - 09:30 = 7 hours, 45 minutes
Opening duration in a while year :
Opening duration on weekdays per week = 7 hours 45 minutes
Opening duration on weekends per week = 8 hours 30 minutes
Total opening duration per Week :
(weekday + weekend)(7 hours 45 minutes + 8 hours 30 minutes) = 16 hours 15 minutes
Number of weeks per year = 52
Total opening time per year :
(16 hours 15 Minutes) × 52 = 845 hoursTherefore, the park opens for a total of 845 hours per year.
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Solve the equation and state whether the equation has one solution, no solution, or is an identity.
2a + 2 = 3 (a + 2)
Answer:
The equation has “one solution” because a = -4
Step-by-step explanation:
2a + 2 = 3 (a + 2)
2a + 2 = 3a + 6
-2 -2
----------------------
2a = 3a + 4
-3a -3a
----------------------
-1a = 4
/-1 /-1
----------------------
a = -4
The equation has a solution which is a = -4 this means that there is "one solution".
Answer:
The equation has “one solution” because a = -4
The base of a 14-foot ladder is 5 feet from a building, If the ladder reaches the flat roof, how tall is the building?
The height of the wall of the building is 13.067 feet.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that the base of a 14-foot ladder is 5 feet from a building. The height of the building will be calculated as below:-
Applying the Pythagorean theorem to calculate the height of the building.
H² = P² + B²
14² = P² + 5²
P² = 14² - 5²
P = √171 = 13.07 feet
Therefore, the height of the wall of the building is 13.067 feet.
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What is the equation for the line parallel to y=2x+13y=2x+13 that contains (8,-4)(8,−4)?
I will assume you meant y = 2x + 13
Answer: y = 2x - 20