Answer:
As the question states - it's just a different notation to express the same thing.
When you represent a set with set notation, you look for a characteristic that identifies the elements of your set. For example, if you want to describe the set of all number greater than
2
and less than
10
, you write
{
x
∈
R
∣
2
<
x
<
10
}
Which you read as "All the real number
x
(
x
∈
R
) such that (the symbol "|")
x
is between
2
and
10
(
2
<
x
<
10
)
On the other hand, if you want to represent the set with interval notation, you need to know the upper and lower bound of the set, or possibly the upper and lower bound of all the intervals that compose the set.
For example, if your set is composed by all the numbers smaller than
5
, or between
10
and
20
, or greater than
100
, you write the following union of intervals:
(
−
∞
,
5
)
∪
(
10
,
20
)
∪
(
100
,
∞
)
This same set can be written in set notation:
{
x
∈
R
∣
x
<
5
or
10
<
x
<
20
or
x
>
100
}
Finally, note that if the characterization of the set is rather complex, the set notation becomes preferable to the interval one, which would require a great number of intervals in the union. In some other cases, it could be literally impossible to write a set in interval notation, for example is you consider only irrational numbers, you write
{
x
∈
R
∣
x
∉
Q
}
but you can't write is as union of intervals.
See explanation below
Step-by-step explanation:
Imagine we have to express
[
a
,
b
]
in set notation
A
=
[
a
,
b
]
, then
A
=
{
x
∈
R
/
a
≤
x
≤
b
}
In this notation we define the characteristics of all
x
belonging to this set
A
…x must be greater or equal to a and simultaneously smaller or equal to b...
Interval notation is other way to say the same but assuming that
[
means the extreme a is IN the interval and
(
means extreme
a
is not.
I Hope This Helps.
(01.02)
Cory earns $22 for every lawn he mows and $6 for every hedge he trims. He uses the
expression 22x + 6y to keep track of his earnings.
Part A: Identify the coefficients and variables in the expression.
Part B: How many terms are in the expression, what are they, and how do you know?
Part 2: Which term in the expression shows the total earned from mowing lawns?
The above question is based on Algebraic expressions. An algebraic expression is a mathematical expression which contains unknown variables represented by letters.
Our question above states that:
Cory earns $22 for every lawn he mows and $6 for every hedge he trims.
The Algebraic expression used to express the above statement is given to us in the question as :
22x + 6y
Where:
x = Number of lawns that he trims and
y = Number of hedges that he trims
Part A: Identify the coefficients and variables in the expression.
22x + 6y
i) The coefficients in this expression = 22 and 6. This is because a coefficient is always a number (Integer) that is multiplied by the unknown variable
ii) The variables in the above question = x and y. This is because variables are always represented by letters (alphabets)
Part B: How many terms are in the expression, what are they, and how do you know?
Terms are values which could be constants, variables or coefficients that make up an Algebraic expression.
There are two terms in the Algebraic expression = 22x + 6y and they are : 22x and 6y
Part 2: Which terms in the expression shows the total earned from mowing lawns?
Cory earns $22 for every lawn he mows
x = Number of lawns that he trims
Hence, the expression that shows the total earned from mowing lawns = $22 × x
= 22x
To learn more about similar questions like this, you can click this link: https://brainly.com/question/18543172
Here we have a problem with linear equations, we will find that:
A)The Coefficients are: 22 and 6
The variables are: x and y
B) The number of terms in the expression are two: 22x and 6y
2)Total earned for lawn mowing = 22x
Given that the expression 22x + 6y is used to keep track of Cory's earnings:
The Coefficient is a constant value in an equation which may be used to multiply a variable. In the scenario given, the coefficients are Cory's earning per lawn he mows and hedge he trims. The coefficient values are 22 and 6.
The variable in an expression represents values which can change or vary, in the scenario given, the number of lawns mowed or hedge trimmed may vary. Hence, the number of lawns and hedges are the variables.
The number of terms in the expression is 2:
The earning for lawn mowing.
The earning for hedge trimming.
Part 2:
Total earned from mowing lawns:
(earning per lawn mowed × number of lawns mowed)
(22 × x) = 22x
If you want to learn more, you can read:
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PLEASE! HELP HELP HELP!
Answer:
it's say download FPD SORRY I CAN'T SLOVE IT
r+(2r+4)=(r+2r)+4=3r+4
True or false: anything that multiples by 0 equals 0
the area of a square garden is 121 feet squared how long is each side of the garden
Answer:
11 ft
Step-by-step explanation: A square has side lengths that are equal in length. Given that a side length of a square is x, the area would be x^2 because x*x = x^2. Now we have to reverse for the problem. If the area is 121 then what is x. 121=x^2. So we have to square root 121, resulting in 11. So each side of the garden is 11 feet each.
Answer: 7,320.5
Step-by-step explanation:
121 squared
= 1212
= 121 x 121
= 14,641 (Area)1/2=s, where s = side.
So 14,641÷2= 7,320.5
If a motorbike travels 2.4 km in 5 minute find, its average velocity. please write step by step from which I could understand..
Answer:
8m/s
Explanation:
Given,
Distance covered (s) = 2.4 = 2.4 * 1000 = 2400m
Time taken (t) = 5 = 5 * 60 = 300
Now,
v = s/t
or, v * t = s
or, v * 2400 = 300
or, v = 2400/300
or, v = 8m/s
PLEASE HELP!!!!!!!!!!!!!!
please help I need football
Answer:
9x^2 sqrt2x ahhhh
Find three different irrational numbers between 1/2 and 1/4
Answer:
0.30, 0.35, 0.40, 0.45
Step-by-step explanation:
0.25, 0.30, 0.35, 0.40, 0.45 0.50
Chow,...!
Answer:
[tex]\sqrt{x} 0.40002533205417530235503802533472[/tex]...
0.2746254385...
0.485374905752849566...
Step-by-step explanation:
These are all irrational numbers with a value of between 0.25 and 0.5
0.6 divide by 0.48 and show me how you did it plz
If a hen and a half can lay an egg and a half in a day and a half, then how
much time is needed for three hens to lay three eggs?
Answer:
3 chickens need 1 day to lay 3 eggs, because in 1.5 days 1 chicken lays 1.5 eggs
-> 1 day 1 chicken lays 1 egg so 3 chickens need 1 day to lay 3 eggs
study well !
Answer: 1 day
Explanation: Since one hen and a half plus one hen and a half is equal to 3 hens. And also one egg and a half plus one egg and a half equal to 3 eggs therefore also the time needed for three hens will be 2 times the time needed by one hen and a half
Help again pleaseeeeeeeeeeeee
A chemist is studying dissolved gases in the ocean. She graphs her data as shown below.
Based on the data, what would likely be the abundance of organisms that perform aerobic cellular respiration at a depth of 1,000 meters compared to near the surface? What adaptation would most benefit these organisms, based on the data provided?
Answer:
aquatic environment is best fit
Answer:
Based on the data, there would likely be a very low amount of organisms performing aerobic cellular respiration at 1,000 meters as compared to the surface. This is due to the sudden drop in oxygen concentrations from 6 to 1.8 between 800-1,000 meters, while carbon dioxide increased from 44 ml/l to 49 ml/l.
The most beneficial adaptation for organisms based on the data would be anaerobic cellular respiration (without oxygen).
Step-by-step explanation:
Aerobic cellular respiration is a chemical process where oxygen is required to create energy from carbohydrates.
39³(50y²-98) / 26y²(5y+7) please help me to solve this question please please please please please please please please please please please please
oh yeah thats easy it's 21 not much of a explanation needed
What is an equation of the line that passes through the points (-4, -5) and
(-2, – 6)?
Answer:
y = -1/2x - 7
Step-by-step explanation:
y2 - y1 / x2 - x1
-6 - (-5) / -2 - (-4)
-1 / 2
= -1/2
y = -1/2x + b
-5 = -1/2(-4) + b
-5 = 2 + b
-7 = b
Help on this anyone ?
Answer:
its UD and DU and is a segment line
The ice cream shop offers 25 different flavors. In how many ways can you order a double scoop cone if you want two different flavors?
A. 49
B. 50
C. 600
D. 625
Answer:
C. 600
Step-by-step explanation:
There are 25 different choices for the first scoop.
There are 24 scoops for the second scoop
25*24
600 different ways
The length of a new rectangular playing field is 7 yards longer than triple the width. If the perimeter of the rectangular playing field is 438 yards, what are its dimensions?
Answer:
Step-by-step explanation:
Width = w
triple the width = 3*w = 3w
Length = 7 yards longer than triple the width = 3w + 7
Perimeter = 438 yards
2*(length +width) = 438
2*(3w+ 7 + w) = 438 {Combine like terms}
2 * (4w + 7) = 438
2*4w +2*7 = 438 {Use distributive property}
8w + 14 = 438 {Subtract 14 from both side}
8w = 438 - 14
8w = 424 {Divide both sides by 8}
w = 424/8
w = 53 yards
Length = 3*53 +7 = 159 + 7 = 166 yards
Width = 53 yards
Length = 166 yards
(C E
What is the solution to the linear equation?
2 + p =4/5 + 3/5p
O p = 1
O p=2
O p=8
Op=10
Answer:
[tex]2 + p = \frac{4}{5} + \frac{3}{5} p \\ p \: terms \: togather \\ p - \frac{3}{5} p = \frac{4}{5} - 2 \\ \frac{5p - 3p}{5} = \frac{10 - 4}{5} \\ \frac{2p}{5} = \frac{3}{5} \\ 2p = 3 \\ p = \frac{3}{2} \\ thank \: you[/tex]
The value of p in the given equation 2 + p =4/5 + 3/5p is -5/2.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 2 + p =4/5 + 3/5p
Two plus p equal to four by five plus three by five times of p.
p is the variable in the given equation.
2 + p =4/5 + 3/5p
Take the variable terms on one side.
2-4/5 =3/5p-p
6/5= -2p/5
5=-2P
P=-5/2
Hence, the value of p in the given equation 2 + p =4/5 + 3/5p is -5/2.
To learn more on Equation:
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What is 5 to the 4th power times 7 to the 4th power? HELP!!!
Answer:
1500625
Work:
5^4 = 625
7^4 = 2401
Multiply them and it equals 1500625
3. Which is the best description of an extraneous solution?
Answer: A solution that results in a false statement when substituted back into the original equation.
Step-by-step explanation: An extraneous solution is one that arises in a solution of equations, but which on closer inspection is not a solution to the original equation. Therefore, they imply an error in the development of the solution of the equation, so they cannot be taken as a valid solution since, when replacing the result with the missing variable, the equation does not obtain the desired result.
[tex]A^{2} + B^{2} = ?[/tex]
Answer:
A² + B² = ( A+B )² – 2AB
or = ( A– B )² + 2AB
I hope I helped you^_^
What are the coordinates of the point
22 23
of the way from A to B?
Answer:
(-1,-1)
Step-by-step explanation:
Please help, I can’t do this
Answer:
Choice 3. -4x-3<13
Step-by-step explanation:
First, you will use process of elimination and cross out any obvious wrong answers. You can see that the symbol would not be flipped yet so the "<" would be pointing to less than. That eliminates choice 1 and 4. Now, You can observe the 3rd step and see that -4x<16, to get that, you would need a "-4x" in the equation. Number 2 is 2x so that can't be right. Therefore, the answer is choice 3. This simple process of elimination and looking for clues will help you greatly in multiple choice problems instead of solving it the hard way.
Answer: C
Step-by-step explanation:
[tex]-x-3 < 13+3x\\\\\Longleftrightarrow\ -x-3x-3 < 13\\\\this \ step \ is \ missing\ -4x-3 < 13\\\\\Longleftrightarrow\ -4x < 13 + 3\\\\\Longleftrightarrow\ -4x < 16\\\\\Longleftrightarrow\ 4x > -16\\\\\Longleftrightarrow\ x > -4\\\\Answer\ C[/tex]
Find the 14th term of the geometric sequence 5, -10, 20, ...5,−10,20,
Answer:
40,960
Step-by-step explanation:
To find the multiplier, set up an equation like this:
[tex]5x=-10[/tex]
The above equation will allow us to find what number, when multiplied with 5 will result in -10. If we divide both sides of the equation by 5, we'll find that the number, x, is -2:
[tex]x=-2[/tex]
We need to find the 14th term. To do this, simply multiply the lattermost number in the sequence by our multiplier, -2.
[tex]20*(-2)=40[/tex]
Since 5 is the first term in the sequence, -10 is the second term in the sequence, and 20 is the third term in the sequence, 40 is the fourth term. Now we just need to find the next ten so that we can find the 14th term. To do that, repeat the process of multiplying the lattermost number by -2 ten more times:
[tex]40*-2=-80\\-80*-2=160\\160*-2=-320\\-320*-2=640\\640*-2=-1280\\-1280*-2=2560\\2560*-2=-5120\\-5120*-2=10240\\10240*-2=-20480\\-20480*-2=40960[/tex]
Therefore, the 14th term is 40,960.
Answer:
-40,960
Step-by-step explanation:
you have to add the negative because there partners in crime
Please help me graph #9.
what is the value of x ? please help me i will mark brainiest
Answer:
its d 85
Step-by-step explanation:
d and 80 are alternate interior angles so they are equal
Eight plus the quotient of a number and 3 is -2
bro someone help please
write n solve the equation to find the number
Answer: n=-30
Step-by-step explanation:
With what we are given in the description, we can find the missing number.
[tex]8+\frac{n}{3} =-2[/tex]
We get this equation because 8 is adding the quotient of a number and 3. A quotient of a number and 3 is written as [tex]\frac{n}{3}[/tex] because n is dividing 3. When that is added to 8, we get -2. With this equation, we can solve for n.
[tex]8+\frac{n}{3} =-2[/tex] [subtract both sides by 8]
[tex]\frac{n}{3} =-10[/tex] [multiply both sides by 3]
[tex]n=-30[/tex]
Now, we know that n=-30.
Write a rule for each graph below.
Answer:
a. y = x - 2
Step-by-step explanation:
y = a.x + b
from the graph: x = 0, y = -2 --> b = -2
x = 2, y = 0 --> 0 = a.2 -2 --> a = 1
Using the order of operations, what should be done first to evaluate (-2)+4= (-15 +9)(3) - 4?
O Add -15 and 9.
O Divide 4 by -15.
O Subtract 4 from 3.
O Multiply 9 by 3.
