Sure! Here's an example set of data that is a function:
| x | y |
|---|---|
| 1 | 3 |
| 2 | 5 |
| 3 | 7 |
| 4 | 9 |
| 5 | 11 |
To show that this is a function, we need to check that for every value of x, there is only one corresponding value of y. We can see from the table that this is true - for example, when x=2, y=5 and there are no other values of x that give y=5.
To represent this function in the form y=m*x+b, we need to find the values of m and b. We can use the slope-intercept form of a line to do this, which is:
y = m*x + b
where m is the slope of the line and b is the y-intercept (the value of y when x=0).
To find the slope, we can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are any two points on the line. Let's use the points (1, 3) and (2, 5):
m = (5 - 3) / (2 - 1) = 2
So the slope of the line is 2.
To find the y-intercept, we can use any point on the line and solve for b. Let's use the point (1, 3):
y = m*x + b
3 = 2*1 + b
b = 1
So the y-intercept is 1.
Now we can write the equation of the line in slope-intercept form:
y = 2*x + 1
To check that this equation matches the values in the table, we can substitute each value of x into the equation and see if we get the corresponding value of y:
When x=1: y = 2*1 + 1 = 3
When x=2: y = 2*2 + 1 = 5
When x=3: y = 2*3 + 1 = 7
When x=4: y = 2*4 + 1 = 9
When x=5: y = 2*5 + 1 = 11
These values match the values in the table, so we have shown that the set of data is a function and we have written its equation in the form y=m*x+b.
chatgpt
Sure, here is a set of data that is a function using at least 5 domain values and 5 range values:
```
Domain | Range
------- | --------
-2 | -4
-1 | -3
0 | -2
1 | -1
2 | 0
```
This data can be shown in a table, a graph, or a set of ordered pairs. In this case, we will show it as a table:
```
| Domain | Range |
|---|---|
| -2 | -4 |
| -1 | -3 |
| 0 | -2 |
| 1 | -1 |
| 2 | 0 |
```
We can use the equation y = m + b to find the slope (m) and y-intercept (b) of this function. The slope is calculated by finding the change in y (the range) divided by the change in x (the domain). In this case, the change in y is -4 - (-3) = -1, and the change in x is -2 - 0 = -2. Therefore, the slope is -1/-2 = 1/2. The y-intercept is calculated by finding the value of y when x is 0. In this case, the value of y is -2. Therefore, the y-intercept is -2.
The equation of this function is y = (1/2)x - 2. This function can be graphed by plotting the points in the table and connecting them with a line. The graph of this function is a straight line.
I WILL MARK BRAINLEST FR!!
Answer:
The ratio of shirts Pete pays for to all the shirts Pete gets is 5:6.
5/6 of 1,200 is 1,000.
1,000 × $10 = $10,000
Pete would pay Jun 1,200 × $8 = $9,600 for the shirts.
Mr. Walker brought 100 cookies for two classes at school one class had 28 students, and the other had 27 students plus their two teachers. he also left 10 for the office staff and 5 for the custodians. How many cookies did he have leftover?
Answer:
Mr. Walker gave out a total of 28 + 27 + 2 = 57 cookies to the two classes and left 10 + 5 = 15 cookies for the office staff and custodians.
Therefore, the number of cookies left over is:
100 - 57 - 15 = 28 cookies
Mr. Walker had 28 cookies left over.
Step-by-step explanation:
Answer: 28 cookies
Step-by-step explanation:
We have to add up the number of cookies distributed and subtract it from the total amount of cookies he brought in order to find out how many cookies he has left over.
----------------------------------------------------------------------------------------------------------
First classFor the first class with 28 students, Mr. Walker distributed 28 cookies.
----------------------------------------------------------------------------------------------------------
Second ClassThere are 29 people in the second class, which has 27 students and 2 teachers.
Mr. Walker then gave out 29 cookies.
----------------------------------------------------------------------------------------------------------
Office Staff and CustodiansMr. Walker left 10 for the office staff, 5 for the custodians, which is a total of 10 + 5 = 15.
So, Mr. Walker distributed 15 cookies.
----------------------------------------------------------------------------------------------------------
Finding the answerWe add up the number of cookies distributed to figure out how many cookies he had leftover:
28 + 29 + 15 = 72.
This gets subtracted from the total number of cookies brought by him:
100 - 72 = 28.
----------------------------------------------------------------------------------------------------------
AnswerTherefore, after giving cookies to the two classes, the office staff, and the custodians, Mr. Walker had 28 cookies left over.
i need help with this
Step-by-step explanation:
See image
Answer:
(a)48 inches, (b)the third quartile, (c) first ---> second quartile
Step-by-step explanation:
(a) because the right whisker reaches to that area.
(b) because the lines are closer together.
(c) because the lines are farther apart.
[QUICK!! ANSWER THESE TWO QUESTIONS PLEASE,, THOSE WHO answer THESE QUESTIONS WILL RECIEVE 20 points!! ]
Answer:
7 juniors and 2 coins
Step-by-step explanation:
25% is equal to 25/100 which is 1/4. To find 1/4 of 28 it would be 28/4 which is 7. There are 7 juniors in the program.
5-cent: x
10-cent: y
25-cent: z
5x+10y+25z=320 which is also x+2y=5z=64. You can subsitute y for x+3 because he has 3 more 10-cent than 5-cent. x+x+3+z=23 which is 2x+z=20=z=20-2x.
Substitute
x+2(x+3)+5(20-2x)=64
x+2x+6+100-10x=64
7x=106-64
7x=42
x=6, z=20-2*6=8, z-x=8-6=2
[ANSWER THIS QUESTION PLEASE!! ASAPPP! you'll get/recieved 20 points along 5 star answer along a thanks along "brainliest"!!!!! :D]
Answer:
x + .1x = 17,402
1.1x = 17,402
x = 15,820
The two numbers are 15,820 and 1,582.
15,820 - 1,582 = 14,238
Answer: 14238
Step-by-step explanation:
As one of the numbers is divisible by 10, it is of the form 10*x. When the units digit is erased x is left. From the information provided in the question, x + 10x = 17402
=> 11x = 17402
=> x = 17402/11
=> x = 1582
The two numbers are 1582 and 15820. The sum of these numbers is 17402. The difference of the two number is 14238.
The required difference of the numbers is 14238.
Solve for the unknown side length, “p”
Find the approximate radius of a circle with a circumference of 51.81 millimeters. Use 3.14 for π. Round to the nearest hundredth if necessary.
Answer: 16.5
Step-by-step explanation:
51.81/3.14=16.5
Simple :)
Hope it helps!
A student designed a flag for the school's Gaming Club. The design is rectangular with vertices at (4, 5), (9, −12), and (4, −12). Find the missing vertex and the area of the flag in square inches?
The missing vertex is (5, 9) with an area of 44 in2.
The missing vertex is (−12, 5) with an area of 85 in2.
The missing vertex is (9, 5) with an area of 85 in2.
The missing vertex is (−12, 9) with an area of 44 in2.
Answer:
The missing vertex is (9, 5), and the area is 85 in.².
enter an expression equivalent to 4(x + 5y) that clearly shows that the total leson spent on the on and the total he spent on the large flower pots is not 5y.
Answer:
The answer is 20y
Step-by-step explanation:
If you have any questions please ask me! :)
What is the solution set for the inequality 5 - 4m > 25
The solution set for the inequality 5 - 4m > 25 is m < -5.
Simplifying the solution;
- 4m + 5 > 25
Adding -5 on both Sides,
(-4m + 5) + (-5) > 25 + (-5)
-4m + 5 - 5 > 25 - 5
-4m > 20
Now, Dividing both sides by 4;
4m/4 < -20/4
m < -5
Read More about Inequality:
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Will give 15 points!!!
In one month, Jason earns $32.50 less than twice the amount Kevin earns. Jason earns $212.50. Write and solve an algebraic equation to show how to find the amount that Kevin earns.
Answer:
Step-by-step explanation:
2K - 32.50 = 212.50
2K = 245
Therefore, Kevin earns 245/2 = $122.50
We can double check this by reversing the solution:
122.50 x 2 = 245
245 - 32.50 = 212.50
Therefore, we can be certain that our answer is correct!
I need help ASP!!! LAST QUESTION!!!
the last answer i put was wrong, it was 80 sweaters... but that's fine!!!
Answer:
Step-by-step explanation:
The quantities given are are in ounces for some and pounds for others
Convert everything to a common unit
1 pound = 16 ounces
Easier to convert all pounds to ounces since you will be working with whole numbers.
Solving by converting all pound units to ounces
1.5 pounds of turkey = 1.5 x 16 = 24 ounces of turkey
Total meat available for sandwiches
= 8 ounces of roast beef + 16 ounces of ham + 24 ounces of turkey
= 48 ounces
It takes 0.25 pounds of meat to make one sandwich
0.25 pounds = 0.25 x 16 = 4 ounces
Since it takes 4 ounces of meat to make a single sandwich and there are 48 ounces of meat available,
Total number of sandwiches = 48/4 = 12 sandwiches
What if we converted ounces to pounds and solved?
8 ounces = 8/16 pounds = 0.5 pounds
16 ounces = 1 pound
Total meat = 0.5 + 1 + 1.5 = 3 pounds
It takes 0.25 pounds of meat to make a sandwich
Therefore total number of sandwiches = 3/0.25 = 12 (same answer)
I just need the work and how to do it the answer was provided this time
Answer:
Step-by-step explanation:
in order to find the volume of a rectangle its length x width x height
8 * 5 * 6.25 = 250
i know the answer but im scared it wrong
Answer:
5.292
Step-by-step explanation:
Answer:
6 feet.
Step-by-step explanation:
The height of the given parallelogram would be; 6 feet.
What is the area of a parallelogram?
The area of a parallelogram is the product of the base and the height of the figure.
The area of a parallelogram = Base x Height
We have been given that the area of this parallelogram is 120 ft. then we need to find the value of h.
Base = 20 feet
Since, the area of a parallelogram = Base x Height
Area = 20ft x height
120ft = 20ft x height
The height = 120/20
Height = 6ft
Hence, the height of the given parallelogram would be; 6 feet.
Nick had 29 toy cars. Then he bought 16 cars from the toy store and got 30 cars for his birthday. Nick gave 9 of the toy cars to his sister and 29 to his friend Jordan. How many toy cars does Nick have left?
Answer: 37 cars
Step-by-step explanation:
29 + 16= 45
45 + 30 = 75
75 - 38 = 37
Find the circumference of a circular swimming pool with a diameter of 22 1/2
feet. Use 3.14 for π. Round to the nearest hundredth.
Answer:
C = 11.25π = 35.34 feet
C = 11.25(3.14) = 35.33 feet
— 35.33 feet
P.S — are you in seventh grade? because i am, and im doing this same topic (circumference,radius,pi,etc.)
Help please I will make you the brainliest and show your WORk pls
Answer:
Equation: x=45,000 ÷ 3
Answer: 15,000
Step-by-step explanation:
We know that 2/3 of the pens produced in the factory are black. That means that 1/3 of the pens produced in the factory are blue.
If 45,000 pens are produced, then 1/3 of 45,000 will give us the number of blue pens, or x. Now with our equation, we can start solving.
x = 45,000(1/3) is the same thing as x = 45,000 ÷ 3.
45 ÷ 3 is 15. Now we can just add the zeros back in.
x=15000
Therefore, the number of blue pens, or x, is 15,000.
All the best on your homework!
Triangle ABC ~ triangle DEF. Use the image to answer the question.
a triangle ABC with side AB labeled 11, side CA labeled 7.6 and side BC labeled 7.9 and a second triangle DEF with side DE labeled 2.2
Determine the measurement of EF.
EF = 1.58
EF = 1.52
EF = 1.1
EF = 5.5
Answer:
EF = 1.58
Step-by-step explanation:
Since DE is provided (2.2), we use that in order to find EF.
First, divide the length of AB by the length of DE.
11 ÷ 2.2 = 5
So we use 5 to figure out the measurement for EF.
BC = EF, so we divide BC by 5 to get EF.
7.9 ÷ 5 = 1.58
therefore EF = 1.58
Answer:
EF is equal to 1.58
Take 11 and divide it by 2.2 to get 5, then divide 7.9(BC) and 5 which is 1.58(EF)
Also I got this right on the test, hope it helps <3
each shelf on Sandra's bookcase is 42 1/2 inches long each book she wil place on a shelf is 3/4 inches wide what is the greatest number of books of this size can she fit on one shelf?
(the answer is 56 but I need to have the work)
Answer: yeah 56
Step-by-step explanation:
42.5 divided by .75 is 56.666666666666666666666666666667
And with this type of question, you have to round down to a whole number so, 56
Hope this helps :)
please help quickly! thank u so much god bless
A C D E
Just count the units from wherever it stays to.
Answer:
A
D
C
E
Step-by-step explanation:
If you have any questions please ask me! :)
I cant figure it out I have only one more chance too
Answer: I believe it's 57
Step-by-step explanation:
Solve for x
3x+1=7x-17
Answer:x=4.5
Step-by-step explanation:
3x+1=7x-17
3x18=7x
18=4x
x=4.5
3(y-2x) = 9
x - 4 = 0
PLSSS HELPPP
Answer:
(x, y) = (4, 11).
Step-by-step explanation:
We have two equations:
3(y-2x) = 9
x - 4 = 0
From equation 2, we have x = 4. We can substitute this value into equation 1 and solve for y:
3(y-2x) = 9
3(y-2(4)) = 9 (substitute x = 4)
3(y-8) = 9
3y - 24 = 9
3y = 33
y = 11
Therefore, the solution to the system of equations is (x, y) = (4, 11).
Answer
x=4
Step-by-step explanation:
Brandon and Taylor each start a number pattern with the number 3. Brandon will add 5 to get the next number in his pattern. Taylor will multiply by 2 to get the next number in her pattern.
Which statement is true?
a. The 2nd number in Brandon's pattern is smaller than the 2nd number in Taylor's pattern.
b. The 4th number in Brandon's pattern is bigger than the 4th number in Taylor's pattern.
c. The 5th number in Brandon's pattern is less than half the size of the 5th number in Taylor's pattern.
d.Both patterns have the same 3rd number.
4.) A kilo of banana in the market is 5 pesos more than thrice the kilo of tomato. If a kilo of tomato costs 15 pesos, how much does a kilo of banana costs?
A. 20 pesos
B. 35 pesos
C. 40 pesos
D. 50 pesos
pls help me, I need this rn. with solution pls, show the solution how did you get the answer.
Which statement describes the relationship between x and y in these
two equations?
y = x + 8
y = 8x
A) In y = 8x and in y = x + 8, the value of y is 8 more than the value
of x.
B) In y = 8x and in y = x + 8, the value of y is 8 times the value of x.
C) In y = 8x the value of y is 8 more than the value of x, and in
y = x + 8 the value of y is 8 times the value of x.
D) In y = 8x the value of y is 8 times the value of x, and in y = x + 8
the value of y is 8 more than the value of x.
D) In y = 8x the value of y is 8 times the value of x, and in y = x + 8
the value of y is 8 more than the value of x.
Please help me quickly!!
Answer: 1000/3
Step-by-step explanation: 3years = 1000
True or false? To add two fractions with x's, you add their numerators and denominators.
I need help with math, it's hard :|
Answer:
im pretty sure this is false bc if you have a fraction and you add the top and the bottom you are just getting the sum when you r supposed to be deviding the numbers
Step-by-step explanation:
im not sure if im correct so i would double check but either way have a great day dont let anyone or anything bother you. and be positive
the organic bulk food prices per pound are shown below. how much would it cost to purchase 2.5 lb (pounds) of each item.
BULK FOODS
$3.48 chocolate pretzels
$8.26 almonds
$4.98 trail mix
Answer: $41.81 in total
Step-by-step explanation:
3.48 x 2.5 = 8.7
8.26 x 2.5 = 20.65
4.98 x 2.5 = 12.45
8.7 + 20.65 + 12.45 = $41.8
The cost of chocolate pretzels for 2.5 pounds is $8.7.
The cost of almonds for 2.5 pounds is $20.65
The cost of trail mix for 2.5 pounds is $12.45.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
$3.48 chocolate pretzels
$8.26 almonds
$4.98 trail mix
So, the cost of chocolate pretzels for 2.5 pounds
= 3.48 x 2.5
= $8.7
and, the cost of almonds for 2.5 pounds
= 8.26 x 2.5
= $20.65
and, the cost of trail mix for 2.5 pounds
= 4.98 x 2.5
= $ 12.45
Learn more about Unitary Method here:
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