Hi there!
We are given the set of ordered pairs below:
[tex] \large \boxed{(3, - 1),(2, - 2),(0,2),(2,1)}[/tex]
1. What is the domain?
Domain is a set of all x-values in one set of ordered pairs. So what are the x-values that I am talking about? In ordered pairs, we define x and y which both have relation to each others which we can write as (x,y). That's right, the domain is set of all x-values from ordered pairs.Therefore, we gather only x-values from (x,y). Hence, the domain is {3,2,0,2}. Whoops! Something is not right. As we learn in Set Theory that we don't write the same or repetitive in a set. Hence, the actual domain is {0,2,3}
2. What is the range?
Because domain is set of all x-values. Then what do you think the range is? That's right! The range is set of all y-values. If you got this right before looking up the underlined words then a handclap for you! So how do we find range? Simple, we just do like finding the domain in the Q1, except we gather the y-values in (x,y) instead and make sure that we don't write same number!Therefore, gather y-values from the ordered pairs. Hence, the range is {-2,-1,1,2}
3. Is the relation a function?
All functions are relations but not all relations are functions. Function is a set of ordered pairs where domain is not repetitive or in a set, there cannot be more than one same value. Consider the following relation: (1,1),(1,2) - Oh, looks like in a set of ordered pairs, there are two same domains which make it only a relation, and not a function. On the other hand, (1,1),(2,2) - Looking good! No same or repetitive domain, making it indeed a function.Consider the domain from Q1 and see if there are two same values of x in a set. Looks like the relation is not a function since there are same x-values which are 2 in a set, making it only a relation. Hence, the relation is not a function.
These are all 3 answers along with an explanation. Let me know if you have any doubts regarding Relations and Functions.
From the Q1's answer, there are two bold texts, please choose the second bold text to answer (the one with underline) and not the first one (the one with same 2's).
Good luck on your assignment, have a nice day!
Yulet rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 24.
What is the ratio of the side length of the side opposite any 30 degree angle and the length of the hypothesis ?
Answer:
1 : 2
Step-by-step explanation:
the ratio is 1 : 2
_____
Find the measures of a positive angle and a negative angle that are coterminal with each given angle
0=110
Answer:
Why was Mrs Hallette unhappy when people asked about her son?
Step-by-step explanation:
PLEASE HELP ME!! its a pretty easy question
Answer:
V= 936m³
Step-by-step explanation:
Formula:
Volume = L * W * H
Volume1= L * W * H
= 16 * 9 * 6
= 864m³
Volume2= L * W * H
= 6 * 2 * 6
= 72m³
Add both volumes to get total volume.
= 864m³ + 72m³ = 936m³
Hope this helps!
Have a nice dayy! :)
The measures, in degrees, of the three angles of a triangle are given by 2x+1, 3x - 3, and 9x. What is the
measure of the smallest angle?
Answer:
Step-by-step explanation:
27 degrees
Please answer quickly
Answer:
10
Step-by-step explanation:
given :
length WX ≅ (congruent means equal) length XY
therefore , WX = 3
WZ = WX + XZ
WZ = 3 + 7
WX = 10
5. There is a circular field of area of approximately
500 m2. How can you find its area accurately by
using a measuring tape?
Step-by-step explanation:
It is known that area of a circular is calculated as follows.
[tex]Area = \pi \times r^{2}[/tex]
So, when a circular field of area of approximately 500 [tex]m^{2}[/tex] is there then diameter of the field is calculated using the measuring tape from one side of the circular tape to the other. Now, to calculate the radius it is required to divide the diameter by 2.
Hence, put these values into the above formula to find out the area. In this way we can find out the area of given circular field accurately by using a measuring tape.
analyze the histogram comparing the frequencies shown for the annual temperatures of kentucky and illinois
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the required histograms are not provided; however, the general explanation is as follows.
(a) If any of the histograms has more bars at the left hand side, then it means that the distribution is skewed left.
(b) If any of the histograms has more bars at the right hand side, then it means that the distribution is skewed right.
(c) If any of the histograms has appears to have increasing number of bars at the middle, then it means the such histogram is symmetrical.
Use the above illustration to answer your question.
Answer:
C: Both distributions are skewed right.
Step-by-step explanation:
Find the first six terms of the sequence.
a1 = -5, an = an-1 + 8
Answer:
- 5, 3, 11, 19, 27, 35
Step-by-step explanation:
Using the recursive rule and a₁ = - 5
a₂ = a₁ + 8 = - 5 + 8 = 3
a₃ = a₂ + 8 = 3 + 8 = 11
a₄ = a₃ + 8 = 11 + 8 = 19
a₅ = a₄ + 8 = 19 + 8 = 27
a₆ = a₅ + 8 = 27 + 8 = 35
The first six terms are - 5, 3, 11, 19, 27, 35
An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?
error = 62-60 = 2°
% = (2×100)/60 = 100/30 = 10/3 = 3.333%
Please help ASAP thank you
If there are 26 students in each third-grade class and 3 third-grade classes in the school, how many students will attend an assembly for third graders if a total of 4 students are absent?
students
Answer:
The answer is 74
Step-by-step explanation:
First you need to find the number of student in total so just multiply 26 by 3 which is 78.
Then after since there are 4 students absent subtract 4 from 78 which is 74.
Please help me kitty
Answer:
Its either exponential growth or increasing linear. I am positive it is not exponential decay or decreasing linear, but if I had to choose it would be exponential growth.
Answer:
Hi how are you will u friendship with me plz
Which set of numbers is arranged in increasing order? A. , , , B. , , , C. , , , D. , , ,
Answer:
its B
Step-by-step explanation:
3.14 then pi (3.14159) then 22 ÷ 7 (3.1428) then square root of 10 (3.16)
Answer:
B
Step-by-step explanation:
pi=3.141592654
square root of 10=3.16227766
3.14=3.14
22/7=3.142857143
[tex](2x + 3)(2 {x}^{2} - x - 2)[/tex]
simplify this question
please answer this !!!
5x + 100
x = 16°
Step-by-step explanation:
The sum of angles in a straight line = 180°
Therefore
5x + 100° = 180°
5x = 180° - 100°
5x = 80°
x = 80/5
x = 16°
Solve for x. Leave your answer in simplest radical form.
There are two Right angled triangles in the given figure, with two missing sides, let's name the other missing side be " y "
According to Pythagoras theorem,
[tex] \boxed{ \large \boxed{h {}^{2} = {b}^{2} + p{}^{2} }}[/tex]
note :
p = perpendicular / opposite sideb = base / adjacent sideh = hypotenuselet's solve for " y² " first ( square of other missing side )
[tex]➢ \: \: {y}^{2} = {8}^{2} + 3 {}^{2} [/tex]
[tex]➢ \: \: {y}^{2} = 64 + 9[/tex]
[tex]➢ \: \: {y}^{2} = 73[/tex]
now let's solve for " x " , by using pythagorous theorem
[tex]➢ \: \: {x}^{2} = {y}^{2} + {6}^{2} [/tex]
[tex]➢ \: \: {x}^{2} = 73 + 36[/tex]
[tex]➢ \: \:x {}^{2} = 109[/tex]
[tex]➢ \: \: x = \sqrt{109} [/tex]
Approximate :
[tex]➢ \: \: 10.44 \: \: units[/tex]
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
59.73 - 21.876
can u help me
Answer:
37.854
Step-by-step explanation:
59.73-21.876=37.854
two circles intersect each other in A and C. O the centre of the smaller circle, lies on circumference of the bigger circle D is a point on smaller circle and DC produce intersects the bigger circle in B. BO produce intersects AD inM. AO, OC andAB are drawn 1 IF IT IS FURTHER GIVEN THAT ACO.=D, PROVE THAT AD IS A TANGENT TO CIRCLE ABO
Answer:
ss
Step-by-step explanation:
s
One number is 4 less than 3 times a second number. If 3 more than two times the first
number is decreased by 2 times the second number, the result is 11. Use the substitution
method. What is the first number?
Answer:
The first number (x) = 8
Step-by-step explanation:
Let x = the first number
Let y = the second number
x = 3*y - 4
2x + 3 - 2y = 11 Subtract 3 from both sides
2x - 2y = 11 - 3
2x - 2y = 8 Divide by 2
x - y = 4 Add y to both sides
x = y + 4 Now go back to the very first equation. Substitute for x
y + 4 = 3y - 4 Subtract y from both sides
4 = 3y - y - 4
4 = 2y - 4 Add 4 to both sides
4 + 4 = 2y
8 = 2y Divide by 2
8/2 = y
y = 4
x = 3y - 4
x = 3*4 - 4
x = 12 - 4
x = 8
Amanda works as a hostess at Red Robin on weekday nights and at the Pix movie theatre on the weekends. Amanda’s pay at Red Robin is 11.50ℎ+0.25+10and her pay at the Pix is 10.50ℎ+0.5−20. Find the polynomial that would represent Amanda’s total earnings from her two jobs.
Answer:
22h−9.25
Step-by-step explanation:
its the last one:) please help. giving brainlist
Answer:
[tex]5[/tex]
Step-by-step explanation:
Segments are named by their endpoints. Therefore, segment PQ will have endpoints P and Q. The length of the segment is equal to the distance between these points.
To find the distance between P and Q given their coordinates, use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let:
[tex]P(-2, 7)\implies (x_1, y_1),\\Q(1, 3)\implies (x_2, y_2)[/tex]
The distance between these points is equal to:
[tex]d=\sqrt{(1-(-2))^2+(3-7)^2},\\d=\sqrt{3^2+(-4)^2},\\d=\sqrt{9+16},\\d=\sqrt{25},\\d=\boxed{5}[/tex]
Answer:
[tex]5[/tex]
Step-by-step explanation:
This problem gives one the following points on a line: ([tex]P(-2,7)[/tex]), and ([tex]Q(1,3)[/tex]). The problem asks one to find the distance between the two points. The formula to find the distance between two points on a coordinate point is the following,
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the given values in and solve for the distance;
[tex]D=\sqrt{(-2)-(1))^2+((7)-(3))^2}[/tex]
Simplify,
[tex]D=\sqrt{(-2)-(1))^2+((7)-(3))^2}\\\\D=\sqrt{(-3)^2+(4)^2}\\\\D=\sqrt{9+16}\\\\D=\sqrt{25}\\\\D = 5[/tex]
Algebra
write down the coefficient of x in 3(x)4x
A 12
B 3
C 0
by Emmanuel okorie
Answer:
nah its a.
Step-by-step explanation:
bakit?(#boyinthebrainly)
A skateboard that is originally $107 is on sale for 90% off!! How much does the skateboard cost?
90% off means is is selling for 10% of the original price.
Multiply original price by 10%
107 x 0.01 = $10.70
It is selling for $10.70
Fill in the blanks with the most appropriate words given below.
around, react, too, method, fields, on, plants,
together, is, family, planter, weeds, experience, talking
Ecology is the study of how (1)… ……………………, animals and people live (2)…… ………… and
help each other. But man sometimes forgets he (3) ……..……….. a part of the (4)……………….. of
all living things. Here is an example. A planter is (5)………………. about killing (6)… ……………
on his land. He remembers his first (7)……………….… with a weedicide. He was a (8)
………………….. then, working (9)………..………..a rubber plantation. He had a problem with
weeds. The cost of weeding of the (10)…….…………… by hand was getting (11)………..…………
high. So he used a new, cheap and effective (12)……………………, good old Sodium
Arsenate. He sprayed plenty of this (13)………………………… to kill the weeds. The first thing to
(14)…………………… were the frogs.
Answer:
1. plants
2. together
3. is
4. family
5. talking
6. weeds
7. experience
8. planter
9. on
10. fields
11. too
12. method
13. around
14. react.
Explanation:
The given passage talks about the impact of chemicals on the ecosystem. The speaker narrates how the ecology belongs to plants, animals, and humans, though man seemed intent to destroy it for himself.
The blanks in the given passage are filled with the appropriate words as follows-
Ecology is the study of how (1) plants, animals, and people live (2) together and help each other. But man sometimes forgets he (3) is a part of the (4) family of all living things. Here is an example. A planter is (5) talking about killing (6) weeds on his land. He remembers his first (7) experience with a weedicide. He was a (8) planter then, working (9) on a rubber plantation. He had a problem with weeds. The cost of weeding of the (10) fields by hand was getting (11) too high. So he used a new, cheap, and effective (12) method, good old Sodium Arsenate. He sprayed plenty of this (13) around to kill the weeds. The first thing to (14) react were the frogs.
25 points please explain it to me add the answer and the work since I’m so confused on when to subtract missing lengths where and when
9514 1404 393
Answer:
it depends on what the question is (no question is given)
Step-by-step explanation:
What you add or subtract will depend on the problem you're trying to solve, and how you're trying to solve it.
Perimeter
The two left-side vertical segments are 13 and 3. The right-side vertical segment is 16. As you can see, these have the same total: 16.
The top horizontal segment has a length of 21. The two bottom horizontal segments have lengths 16 and 5, for a total of 21—the same as the top segment.
For simple L-shaped figures like this, the overall horizontal lengths and the overall vertical lengths are the same as they would be for a rectangle that is 21 wide and 16 high.
P = 2(L+W) = 2(21+16) = 2(37) = 74 units
__
Area
The dashed lines divide this figure into 3 rectangles.
left side: 16 wide by 13 high
upper right: 5 wide by 13 high
lower right: 5 wide by 3 high
You can see that the vertical measures must "add up", as must the horizontal measures. This fact helps you determine the lengths of the unmarked sides.
You can compute the area from the three rectangles identified above, or any of several other ways. One of my favorite is to compute the overall area of the 21 wide by 16 high rectangle, then subtract the 16 wide by 3 high white space at lower left.
area = 21·16 -16·3 = 16·(21 -3) = 16·18 = 288 . . . . square units
Adding the 3 rectangles identified above gives ...
16·13 +5·13 +5·3 = 208 +65 +15 = 288 . . . . same area
How many one-to-one correspondences exist between A = {1, 2, 3, 4} and B = {a, b, c, d}
Answer:
There are 24 different correspondences.
Step-by-step explanation:
A one-to-one correspondence means that each element of A can be mapped into only one element of B, and we can't have two or more elements from A mapped into one element from B.
So, to count all the possible combinations, we need to find the number of possible options for each mapping
The first element from A, the 1, can be mapped into any of the four elements of B, so here we have 4 options.
The second element from A, the 2, can be mapped into any of the remaining elements from B, 3 of them (remember that one of the elements of B is taken).
The third element from A, the 3, can be mapped into any of the remaining elements from B, 2 of them now, so here we have 2 options.
The final element from A, the 4, can be mapped into the remaining element from B, so here we have only one option.
The total number of different correspondences (or combinations) is equal to the product between the numbers of options, this is:
Combinations = 4*3*2*1 = 12*2 = 24
There are 24 different correspondences.
Why did the author most likely include information about the Spanish-
American War in the reading?
O A. To show his knowledge of history
B. To set the time frame for his story
O C. To emphasize a dangerous situation
O D. To please readers who had military knowledge
PLZZZ HELP
Find the average rate of change of h(x) = 2x² – 7x from x=2 to x=5.
Simplify your answer as much as possible.
Answer:
The average rate of change of h(x) in the given interval is 7.
Step-by-step explanation:
When we want to find the average rate of change of a function f(x), in an interval a < x < b, we just need to calculate:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
Here we have:
h(x) = 2*x^2 - 7*x
And we want to find the average rate of change between x = 2 and x = 5
This will be:
[tex]r = \frac{h(5) - h(2)}{5 - 2} = \frac{(2*5^2 - 7*5) - ( 2*2^2 - 7*2)}{3} = \frac{15 - (-6)}{3} = \frac{21}{3} = 7[/tex]
The average rate of change of h(x) in the given interval is 7.
Viết các lũy thừa sau dưới dạng một lũy thừa hoặc các tích các lũy thừa có số nguyên và số nguyên A.8 mũ 2 B. 654
Step-by-step explanation:
câu trả lời là trong hình ảnh trên