What are the domain and range of f(x) = 21?
Answers
The domain and the range of a function, are the set of values the function can take as input and output.
The domain and the range of \(\mathbf{f(x) = 21}\) are:\(\mathbf{(-\infty,\infty)}\) and 21, respectively.
The function is given as:
\(\mathbf{f(x) = 21}\)
There is no restriction as to the value of x.
So, the domain is:
\(\mathbf{Domain = (-\infty,\infty)}\)
Irrespective of what the value of x is, the value of y will remain 21.
So, the range is;
\(\mathbf{Range = 21}\)
Hence, the domain and the range of \(\mathbf{f(x) = 21}\) are:\(\mathbf{(-\infty,\infty)}\) and 21, respectively.
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Related Questions
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Answers
According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
Let y=x^4-2. Find the average rate of change of y with respect to x over the interval (2,6)
A. 112
B. 320
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(´▽`ʃ♡ƪ) Help pls! quick plsss! A video rental store keeps a list of their top 15 movie rentals each week. This week the list includes 6 action, 4 comedies, 3 dramas, and 2 mysteries. The store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store. What is the probability that she selected 2 comedies and 1 action movie?
Answers
Answer:
about a 20% chance that you get 2 comedies and 1 action movies
Answer: The total number of ways to select any 3 movies out of 15 is:
15C3 = 455 There are a total of 15 movies, out of which 6 are action, 4 are comedies, 3 are dramas, and 2 are mysteries. nCr = n! / r!(n-r)!
(i.e., n! = n x (n-1) x (n-2) x ... x 2 x 1).
Step-by-step explanation:
A group of students must collect at least $120 to organize a science fair. They have already collected $20. Which graph best represents the possible amounts of money the students still need to collect? (1 point)
Number line graph with closed circle on 120 and shading to the right.
Number line graph with closed circle on 20 and shading to the right.
Number line graph with closed circle on 140 and shading to the right.
Number line graph with closed circle on 100 and shading to the right.
Answers
Answer:
Number line graph with closed circle on 80 and shading to the right.
It might be wrong, don't be surprised if it is. :\
But also hope it help. :)
Mean is the average of all of the numbers.
Median is the middle number, when in order.
Mode is the most common number.
Range is the largest number minus the smallest number
Answers
Answer: The modes are not 9 and 12,
Step-by-step explanation:
I need help, please yeah
Answers
Answer:
6 more times
Step-by-step explanation:
To earn enough money to buy a game that costs $88, Ivan needs to earn 88 / 8 = 11 times his dog walking fee.
He already walked the dog 5 times, so he still needs to walk the dog
11 - 5 = 6 more times.
Therefore, Ivan needs to walk the dog 6 more times to earn enough money to buy the game.
Find the area of the figure.
Answers
Answer:
should be 41
Step-by-step explanation:
Length x width = area
3x3=9
4x8=32
add 32 and 9 and u get 41
Mike sold half of his comic books and then bought 9 more. He now has 16. How many did he begin with?
Answers
Answer:14
Step-by-step explanation:
Answer:
Mike had 14 to begin with.
Step-by-step explanation:
16 - 9 = 7
7 x 2 = 14
14 / 2 = 7
9 + 7 = 16
The value of a car decreases over time. This year, Faaria's car is worth $22000. If the value of Faaria's car decreases by 8%, what will her car be worth next year?
Answers
Answer: 20000
Step-by-step explanation:
What happens to the mean of the data set shown below if the number 3 is added to the data set?
A. The mean increases by 2.
B. The mean does not change.
C. The mean decreases by 0.25.
D. The mean increases by 1.
Answers
Answer:
c the mean decreases by 0.25
How far is the Water Slide from the Restrooms?
Answers
Answer:
i think it is 7 bc from the restroom its 7
Step-by-step explanation:
Michael decided to take all his leftover change each month and place it into a savings account. This account earns 2% simple interest each year. The only thing Michael is putting in this account is his leftover change, which is a small amount. Should Michael keep his account since he is putting very small amounts in and earns very little interest?
A. Yes, his monthly deposits and interest will accumulate, which means the balance will grow over time.
B. No, the monthly bank fees are taking away all his deposits which leaves the account at zero.
C. Yes, the cost to close the account would cost more than what is in the account since the acc
ount balance really isn't growing.
D. No, he needs to big deposits for his account to actually grow over time.
Answers
Answer:
yes, his monthly deposits and interest will accumulate,which means the balance will grow over time.
Wat is the product of 8/9 and 2/7
Answers
Answer:
16/63
Step-by-step explanation:
Given problem,
→ (8/9) × (2/7)
Let's solve the problem,
→ (8/9) × (2/7)
→ (8 × 2)/(9 × 7)
→ 16/63
Hence, answer is 16/63.
The finish times for the runners in a 1.5 mile race are summarized in the histogram below.
Finish Times
10
00
Number of Runners
7:00-8:59
9:00-10:59 11:00-12:59 13:00-14:59 15:00-16:59 17:00-18:59
Time (minutes)
How many runners finished the race in under 13 minutes? Enter your answer in the box.
rinnere
we
Answers
Answer:
16 runners finished the race under 13 minutes.
Step-by-step explanation:
If you look at the green bars that are 11:00-12:59, 9:00-10:59 and 7:00 to 8:59 you will notice they are all under 13, The number of runners that finished it in 11:00-12:59 are 8, The number of runners that finished it in 9:00-10:59 are 6 and The number of runners that finished it in 7:00-8:59 are 2. 8+6+2 = 16
The number of runners who finished in under 13 minutes is 16.
What is a histogram?A histogram is a representation of the distribution of data with intervals.
We have,
From the histogram,
Number of runners from 7:00 to 8:59 minutes = 2
Number of runners from 9:00 to 10:59 minutes = 6
Number of runners from 11:00 to 12:59 minutes = 8
The number of runners in under 13 minutes.
= 2 + 6 + 8
= 16
Thus,
The number of runners in under 13 minutes is 16.
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A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answers
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
hurry ill give brainly
Answers
Answer: The answer would be 15
Hope this helps
The population of some native bees is declining at a rate of 9% per year. If there are 13200 bees in a hive now, how many will there be in 5 years time?
Answers
Answer:
There will be 7,260 bees in 5 years.
Step-by-step explanation:
9% per year=0.09(13200)=1188.
1,188 bees die a year.
1,188 times 5=5940
13200-5940=7260
Hope this helps:)
What is the equation of a line, in general form, with a slope of -2 and a y-intercept of 8?
2 x + y - 8 = 0
x + 2 y - 8 = 0
2 x - y + 8 = 0
Answers
Answer:
The first one plz brainliest
Step-by-step explanation:
2x + y - 8 =0
- 2x from both sides
Y - 8 = -2x
Then add 8 to both sides
Y = -2x + 8
The second one = -1/2x + 4 when its in slope intercept form
And the third one = y = 2x + 2
So it’s the first equation that ve slope of -2 and y intercept of 8
Answer:
2x + y - 8 =0
Step-by-step explanation:
I NEED THIS DONE ASAP
There are 4 white, 3 green, 6 black, and 2 yellow ribbons in a box. If Todd picks one ribbon from the box without looking, which color is he least likely to pick?
White
Green
Black
Yellow
(i think its yellow but i dont know)
Answers
Answer:
It's yellow, you're right :)
Step-by-step explanation:
Prob of white: 4/15
Prob of green: 3/15
Prob of black: 6/15
Prob of yellow: 2/15 (the least(
hope this helps! <3
A teacher was interested in the subject that students preferred in a particular school. He gathered data from a random sample of 100 students in the school and wanted to create an appropriate graphical representation for the data.
Which graphical representation would be best for his data?
Stem-and-leaf plot
Histogram
Circle graph
Box plot
Answers
The best graphical representation for the teacher's data on the subject preferences of 100 students in the school would be a circle graph, also known as a pie chart.
A circle graph is a circular chart that is divided into sectors, each representing a proportion of the whole. In this case, the "whole" would be the total number of students surveyed (100), and each sector would represent the proportion of students who preferred a particular subject.
Since the teacher is interested in the subject preferences of the students, a circle graph would be an ideal choice because it allows for a clear and easy-to-understand visual representation of the proportions of students who prefer each subject. The size of each sector would be proportional to the percentage of students who prefer that subject, making it easy to compare the preferences of different subjects.
Stem-and-leaf plots, histograms, and box plots are all useful graphical representations for different types of data, but they are not suitable for the categorical data (i.e., the subject preferences) that the teacher is interested in. Therefore, a circle graph would be the best choice for this particular data.
What would the graph look like?
Answers
Answer:
Well your 1st point would be at 4 weeks 1/2 a gram Then you would have your 2nd point at 8 weeks and one g Then you would have your 3rd point at 12 weeis 12 weeks and 15 Grams so on so forth
What is the output value for the following function if the input value is 1?
y = 3 x + 1
5
32
0
4
Answers
Explanation: 3 times 1 is 3 so 3 plus 1 is 4. Y=4
Please Help!
Colour key:
Yellow: Questions I have answered
Green: Information needed to answer questions
Blue: Questions I need help with
Please, feel free to correct me, Im not good at Surface Area
Answers
Answer:
2. It will be a 7 3/4in x 12 1/4in rectangle
4. 31,987 in^2
6. 30 547/640 in^3
Step-by-step explanation:
2. This is a cross-section. In order to get the cross-section, you take your shape. (a 7 3/4 x 12 1/4 x 3 3/4 rectangle) and essentially you remove the last dimension (Height).
4. Take your surface area value (319 35/64) and multiply it by 100 (10 per dimension length and width). This leaves you with 319.87x100 = 31,987 in^2
6. (308 35/64)/10. Pretty easy, take 308.546875, divide by 10, and you get 30.8546875, which is 30 547/640 in^3 in fractions.
Answer:
2. It will be a 7 3/4in x 12 1/4in rectangle
4. 31,987 in^2
6. 30 547/640 in^3
Step-by-step explanation:
2. This is a cross-section. In order to get the cross-section, you take your shape. (a 7 3/4 x 12 1/4 x 3 3/4 rectangle) and essentially you remove the last dimension (Height).
4. Take your surface area value (319 35/64) and multiply it by 100 (10 per dimension length and width). This leaves you with 319.87x100 = 31,987 in^2
6. (308 35/64)/10. Pretty easy, take 308.546875, divide by 10, and you get 30.8546875, which is 30 547/640 in^3 in fractions.
Dan has 4 over 5 cup of ice cream. How many 1 over 8-cup servings are in 4 over 5 cup of ice cream?
Answers
6 and 1 over 2
i did lots of math
Which expression is equivalent to -1/3 ( 6x + 15 ) - 3?
a) -2x + 12
b) -2x + 2
c) -2x - 2
d) -2x - 8
Answers
The correct answer is (D) -2x - 8.
To simplify the expression -1/3 ( 6x + 15 ) - 3, we can first apply the distributive property to the term in parentheses:
-1/3 ( 6x + 15 ) - 3 = -1/3 * 6x - 1/3 * 15 - 3
Then we can simplify using the properties of multiplication and division:
-1/3 * 6x - 1/3 * 15 - 3 = -2x - 5 - 3
Finally, we can combine like terms:
-2x - 5 - 3 = -2x - 8
The correct answer is therefore (D) -2x - 8.✅
Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
Answers
Answer:
Step-by-step explanation:
you are completely right please follow your heart <3
You have to look at both x and y and it’s power. You have to look for the lowest power for x and y. For y as you can see that the lowest power is 2. As for x it can be either power of 3 or even 2. When you removed x^2 and y^2 from the equation. The inside parenthesis will be x^2-3xy. Just remember when you divide both x^2 and y^2, you subtract the power.
When you get the answer, please check the answer if it’s the same as the original. Meaning distribution both x^2 and y^2 to inside parenthesis. And for the power, you add them. This way you can double check and see if it’s the same.
Order the numbers from closest to zero to farthest from zero:
4.38, l4.5l, l-4.6l, -l4.9l
HELPPPPP
Answers
The smallest number is the one closest to zero, or after zero, if it's a negative number, while the largest number is the number with the largest difference from the smallest, or the highest of value (not considering all situations). Usually, you would use the ascending order method for graphing numbers based on their value, which is indeed smallest to largest. According to thefreedictionary.com, "A function or variable continuously approaching zero as a limit." Tip: In ordering numbers based on value, the whole numbers that aren't negative are considerably believed to be the easiest numbers to order.
With that being said, here is the order of the numbers from smallest to largest:
4.38
4.5
4.6
4.9
Answer:
Here are the numbers ordered from closest to zero to farthest from zero:
4.38 (closest to zero)
4.5
-4.6
-4.9 (farthest from zero)
Step-by-step explanation:
Justin loans his uncle $2,500. He charges 6.5% simple interest. His uncle pays him back in 2.5 years. How much interest does his uncle pay?
Answers
Answer:
I think 600
Step-by-step explanation:
Find each probability.
Answers
Answer:
5,9
Step-by-step explanation:
I think row A would be 5 and B would be 9 im sorry if im wrong
5 on top 9 on bottom
A circle has a diameter of 8 inches. What is the area of this circle? Use 3.14 for pi.
(100 POINTS I NEED THE ANSWER SO I PASS THIS YEAR)
Answers
Given that a circle has a diameter of 8 inches and we are required to find its area using 3.14 as pi.
We know that the formula for calculating the area of a circle is A = πr², where A is the area, π is the mathematical constant pi (approximately 3.14), and r is the radius of the circle.
Since we are given the diameter of the circle, we can calculate its radius using the formula: radius (r) = diameter/2
Therefore, the radius of this circle is: r = 8/2 = 4 inches
Now, we can calculate the area of the circle using the formula: A = πr² Substituting the value of r, we get: A = 3.14 x 4² A = 3.14 x 16 A = 50.24 square inches
Therefore, the area of the circle is 50.24 square inches.
The answer is:
50.24 in²Work/explanation:
The formula for the circle's area :
\(\sf{A=\pi r^2}\)
where :
A = areaπ = 3.14r = radiusWe know the diameter, but the radius is one-half of that, so the radius is :
Radius = Diameter ÷ 2 = 8 ÷ 2 = 4 inchesHere's a diagram for better understanding:
\(\setlength{\unitlength}{1.1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\small 4\ in}\end{picture}\)
Now, plug in the data:
\(\large\begin{gathered}\bf{A=\pi r^2}\\\\\bf{A=3.14\times4^2}\\\\\bf{A=3.14\times16}\\\\\bf{A=50.24\:in^2}\end{gathered}\)
Therefore, the area is 50.24 in².