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.
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
Please! I have class again tomorrow and homework is due! Urgent!
Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work.
Answer:
1/8 probability or a 12.5% chance
Step-by-step explanation:
Greg has 4 choices for his shirt and 2 choices for his pants. The total number of possible outfits is then 4*2 = 8. Since Greg is equally likely to choose any one of these outfits, the probability that he chooses the white shirt and tan pants is 1/8.
what is -3 1/3 -2?
its for an i-ready assignment
Answer:
The answer is -5.333
fraction answer: -5 333/1000
Step-by-step explanation:
If you have any questions ask me please! :)
Answer:
-5.33333333333
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.
Can you please help with this? Thanks!
A
∠A and
∠
B
∠B are supplementary angles. If
m
∠
A
=
(
x
+
4
)
∘
m∠A=(x+4)
∘
and
m
∠
B
=
(
2
x
−
7
)
∘
m∠B=(2x−7)
∘
, then find the measure of
∠
A
∠A.
Answer:
Step-by-step explanation:
so its 23 cause .
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.
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
please help
What is area of the composite shape? ___ sq. cm
Answer:
132 cm^2
Step-by-step explanation:
7x4=28
((7+19)/2)8 = 104
104+28= 132
pls help me 1st awner gets brainlyest
if I understood the problem correctly I think a is 35, and b is 25
i hate geometry....so very much
Answer: 128 cm
Step-by-step explanation: 96+24+8=128cm
Kevin goes to a restaurant that offers 4 appetizer choices, 4 different meats, 6 vegetables, 4 desserts, and 7 drinks. Assuming he gets one of each, how many different meals could he order? Responses A 184 B 25 C 2688 D 672 E 504
Help please I don’t know this
×Answer: 400
Step-by-step explanation: [tex]20×20=400[/tex]
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 :)
The owner of a tea shop is making a blend of two teas. Tea A costs $5.40 per pound. Tea B costs $6.80 per pound. The owner wants to make 8 pounds of the blend and wants to sell it for $5.75 per pound. How much of each tea should he use?
Ms. Hernandez is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $7 for each child ticket. Ms. Hernandez does not want to spend more than $40. Which inequality can be used to find c, the number of child tickets Ms. Hernandez can purchase?
Answer:
The inequality can be used to find c, the number of child tickets Ms. Hernandez can purchase is option (D) 10 + 7x ≤ 40.
Step-by-step explanation:
Step 1: Let x be the number of child tickets that Ms. Hernandez can purchase.
Step 2: The cost of the adult ticket is $10, and the cost of each child ticket is $7. Therefore, the total cost T of the tickets can be expressed as:
T = 10 + 7x
Step 3: Ms. Hernandez does not want to spend more than $40. So, we can write an inequality to express this:
T ≤ 40
Substituting the expression for T, we get:
10 + 7x ≤ 40
Simplifying the inequality:
7x ≤ 30
Step 4: Dividing both sides by 7:
x ≤ 4.2857
Since we cannot purchase a fraction of a ticket, Ms. Hernandez can purchase at most 4 child tickets.
Therefore, the inequality that can be used to find c is:
7x + 10 ≤ 40 or 10 + 7x ≤ 40.
To learn more about fraction,
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pls help mee/////////
Answer:c
Step-by-step explanation:im smart
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! :)
If you borrow $600 for 2 years at an annual interest rate of 7%, how much will you pay altogether?
Mm what about this one? Help please ♡☆ ty ty!♡
Answer:
54
Step-by-step explanation:
[tex] < 2 = 180 - 109 \\ = 71 \\ < 1 = 180 - 71 - 55 \\ = 54[/tex]
The measure of ∠1 is 54 degrees by angle sum property
We have to find measure of angle 2 before finding angle 1 ∠1
∠2 + 109 = 180
Subtract 109 from both sides
∠2 = 180-109
∠2 =71 degrees
From angle sum property theorem we know that in any triangle the sum of angles is 180 degrees
∠1 + 71 +55 = 180
∠1 + 126 =180
Subtract 126 from both sides
∠1 = 180-126
One hundred eighty minus one hundred twenty six is equal to fifty four degrees
∠1 = 54 degrees
Hence, the measure of ∠1 is 54 degrees by angle sum property
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I need help ASP!!! LAST QUESTION!!!
What is area of the composite shape? ___ sq. ft
Use 3.14 for "pi" and round to the nearest hundredths place.
Answer:
236.63
Step-by-step explanation:
Choose an expression that is equivalent to the following.
6n + 2(3 - 5n)
A. n+6
B. 16n+6
C. 6-4n
D. 11n
Answer: C. 6-4n
Step-by-step explanation:
We will simplify the expression and see which one is equivalent.
Given:
6n + 2(3 - 5n)
Distribute:
6n + 6 - 10n
Subtract:
-4n + 6
This is the same as 6 - 4n, so our answer is C. 6-4n
Answer:
6-4n (C.)
Step-by-step explanation:
First you would do 2x3=6
2x-5n=-10n
6n+ -10n= -4n
6-4n
The scale on a map reads 4 cm = 1.6 m. The relationship on the map is graphed on a coordinate grid, with centimeters on the y -axis and meters on the x -axis. The rate of change is: blank blank per blank
a. 0.4
b. 2.5
c. centimeters
d. meters
Answer:
To find the rate of change, we need to determine how much the value on the y-axis changes for every unit change on the x-axis.
The scale on the map reads 4 cm = 1.6 m, which means that for every 1 meter on the x-axis, there are 2.5 centimeters on the y-axis (since 4 cm is equivalent to 1.6 m, we can divide both sides by 1.6 to get 1 cm is equivalent to 0.4 m, or 2.5 cm is equivalent to 1 m).
Therefore, the rate of change on this graph is:
2.5 centimeters per meter
Or, we can express this as:
2.5 cm/m
Step-by-step explanation:
Which situation is best represented by the following equation
68.50x + 127.95 = 675.95
Answer: Option B
Step-by-step explanation:
Considering Option A
we can infer that the office manager paid a total of $675.95
the cost of the software package is $68.50
while an employee is paid $127.95 every hour she works on the website
So, the equation for this situation goes like this: 68.50 + 127.95x = 675.95
Coming to Option B
we can infer that the office manager paid a total of $675.95
the cost of one monitor is $127.95
while the hard drives are for $68.50 each
So, the equation for this situation goes like this: 68.50x + 127.95 = 675.95
Hence Option B is the correct answer
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Rebecca is cutting three different board length for a building project. the original boards measure 16 feet in length. How many pieces will Rebecca be able to cut in the various lengths below?
Building project.
2 1/2 feet long - garden fence
1 1/2 feet long - fireplace
2/3 feet long - window frame
Answer:
Step-by-step explanation:
i think its 2/3
If x = -3, then which inequality is true?
Answer:
BStep-by-step explanation:
Not answer choice A because if we plug in x = -3 into -5x +2, the answer is 17. which is NOT ≤ 12
B is correct because if we plug in x = -3 into 3x-7, we get -16 which IS ≥ 16
Not answer choice C because if we plug in x = -3 into 14 +2x, we get 8, which is NOT less than 5
Not answer choice D because if we plug in x = -3 into 1/2x + 6, we get 4.5 which is NOT greater than 11.
What is the equation for the line of reflection? On a coordinate plane, image A B C D has points (2, 2), (7, 3), (5, 1), (4, 1). Image A prime B prime C prime D prime has points (10, 2), (5, 3), (7, 1), (8, 1). x = 6 y = 6 y = x y = 2 Mark this and return
The equation of the line of reflection should be .
Given information:
Triangle ABC has points (6, 3.7), (5.4, 2), (1, 3). Triangle A' B'C' has points (3.7, 6), (2, 5.4), (3, 1).
A'B'C' is the reflection of the triangle ABC.
It is required to find the equation of the line of reflection.
Now, from the given coordinates of triangle ABC and its reflection, it is clear that the x and y-coordinates have interchanged their values. For example, coordinate (6,3.7) has become (3.7,6).
Therefore, the equation of the line of reflection should be .
Please help me ASAP!!♡ tysm♡ <3
Answer:
∡4 = 146°
Step-by-step explanation:
First, we need to find the value of ∡2, and keep in mind that the sum of all the angles in a triangle is = 180°.
Since the triangle is a right angle, we know that the angle to the bottom right = 90°. The other angle is 56°.
Since there are only 3 angles, let's add 56° and 90° to find ∡2.
56 + 90 = 146
180 - 146 = 34°
∡2 = 34°.
Now that we've found ∡2, we need to find out what type of angles ∡4 and ∡2 are.
They are supplementary angles, since they add up to 180°.
Let's subtract 180 - 34 to give us the value of ∡4
180 - 34 = 146
Therefore ∡4 = 146°
sorry if Im wrong
Answer:
∡4 = 146°
Step-by-step explanation:
I cant figure it out I have only one more chance too
Answer: I believe it's 57
Step-by-step explanation: