Answer:
Explained below
Step-by-step explanation:
Sol: 1. Multiplication
Multiply the set S; the answer should also belong to the set S. For example, -1 x 0 = 0 Є S and -1 x 1 = -1 Є S, Hence the set S is closed under multiplication.
2. Addition
When we add two sets S elements, the answer should also belong to the set S, for example, 1 + 0 = 1 Є S but 1 + 1 = 2, which does not belong to set S; hence S is not closed under addition.
3. Subtraction
The set S is not closed under subtraction because -1 – 1 = -2, -2 is not the set S.
4. Division
The set S is not a closed division because when we divide one S element to another element, the answer does not belong to the set S, for example -1/0 = undefined.
5. Squaring
The set is closed under squaring if we square an element of the set S, and the result also belongs to the set S, for example, (0)2 = 0 and (-1)2 = 1, which belongs to the set S. Hence set S is closed under squaring.
6. Square rooting
The set S is not closed under square rooting because when we take the square root of an element of set S, the answer does not belong to the set S. √-1 = undefined.
7. Averaging two numbers
Averaging two numbers mean the sum of two numbers of set S is divided by two. For example, 1 + 0/2 = 1/2, which is not belongs to set S. hence set is not closed under averaging two numbers.
8. Averaging three numbers
The sum of three numbers of set S is divided by 3; the answer should belong to the set S.
-1 + 0 + 1 / 3= 0, 0 belongs to set. Hence the set S is closed under averaging three numbers.
Answer is explained below. We can say that Subtraction is not closed under the set.
Given set S = {−1, 0 ,1} we have to check the given set is closed or not.
1. Multiplication
Multiply the set S; the answer should also belong to the set S. For example, [tex]-1\times 0=0[/tex], 0 Є S and [tex]-1\times 1 = -1[/tex] , -1 Є S, so the set S is closed under multiplication.
2. Addition
On adding the any two values of the set, the result belong to the set itself, for ex if we add [tex]-1+0=-1\\[/tex] Є S but 1. so we can say that the given set is closed under addition.
3. Subtraction
The set S is not closed under subtraction because -1 – 1 = -2, -2 is not the set element S.
4. Division
The set S is not belongs to closed division because when we divide one S element to another element, the answer does not belong to the set S, for example -1/0 = undefined.
5. Squaring
The set is closed under squaring,since we square an element of the set S, and the result also belongs to the set S. for example, [tex]0^{2} =0[/tex] and[tex]-1^{2} =1[/tex] which belongs to the set S. Hence set S is closed.
Hence We can say that Subtraction is not closed under the set.
For more details on Set follow the link below:
https://brainly.com/question/8053622
Solve 3[-x + (2 x + 1)] = X-1.
X =
Answer:
-2
Step-by-step explanation:
took the test
3. Approximate square root v15
Answer:
4Step-by-step explanation:
[tex]\sqrt{15}\\=3.87298\dots \\\\= 4[/tex]
What is the slope of the line represented by the equation y= 4/5x-3
Answer:
m=
[tex] \frac{4}{5} [/tex]
Step-by-step explanation:
Slope of a line is the co efficient of x in the given line.
[tex]y = \frac{4}{5} x - 3 \\ y = mx + b[/tex]
Mrs. Dizeu had a summer job that pays $15.00 an hour and she worked between 10 and 40 hours every week. Her weekly salary can be modeled by the equation: S = 15h, where S is her weekly salary and h is the number of hours she worked in a week. Describe the domain and range for this problem using interval notation.
Answer:
do 15x 40 and the 15x10
Step-by-step explanation:
5) A data set with whole numbers has a low value 20 and high value of 82. Find the class width and class limits for a frequency table with 7 classes.
Answer:
Class width = 9
Class limits = 20 - 28; 20 - 28; 29 - 37; 38 - 46; 47 - 55; 56 - 64; 65 - 73; 74 - 82.
Step-by-step explanation:
We are given;
Highest value = 82
Lowest value = 20
Frequency = 7
Formula for class width is;
Class width = (Highest Value - Lowest Value)/number of classes
Class width = (82 - 20)/7
Class width = 8.8 ≈ 9
Now,since class width is 9, limits between 20 and 82 would be done at intervals of 9.
Thus;
Class limits = 20 - 28; 20 - 28; 29 - 37; 38 - 46; 47 - 55; 56 - 64; 65 - 73; 74 - 82.
The diagonals of a rhombus are 4 inches and 18 inches. How long are the sides?
I NEED HELP!!!!!! 4x+2x-5=7x-1
Let's solve your equation step-by-step.
4x+2x−5=7x−1
Step 1: Simplify both sides of the equation.
4x+2x−5=7x−1
4x+2x+−5=7x+−1
(4x+2x)+(−5)=7x−1(Combine Like Terms)
6x+−5=7x−1
6x−5=7x−1
Step 2: Subtract 7x from both sides.
6x−5−7x=7x−1−7x
−x−5=−1
Step 3: Add 5 to both sides.
−x−5+5=−1+5
−x=4
Step 4: Divide both sides by -1.
−x
−1
=
4
−1
x=−4
Answer:
x=−4
i hope this helps you
What is is the answer of 2/4+3/8=
Answer:
7/8
Step-by-step explanation:
2/4+3/8= 4/8+3/8=7/8
Hello i need some help!
Answer:
3×2 + 3×-b
Step-by-step explanation:
[tex]3(2-b)\\= 3\times 2 + 3\times (-b)\\\\= 6 -3b[/tex]
Solve by factoring plz show all steps need ASAP
Using the table given below, find the number of Tourist Resorts per capita in Istanbul. Write your answer as a decimal correctly rounded to 6 places Write your answer above in scientific notation. Example: 2.9x10^-1 OR 5.8E6 City Population Tourist Resorts Beijing 20.035 million 290 Mexico City 21.671 million 348 Istanbul 15.154 million 160 Paris 11.017 million 232
Answer:
0.0000111.1E-5Step-by-step explanation:
In Istanbul, the number of resorts per person is ...
160/(15.154·10^6) = 0.000011 . . . . rounded to 6 places
= 1.1E-5 . . . . in scientific notation
What is p(x)? Thank you!
Answer : p(x) equals 1 :)
3x + 5 =11 use the subtraction property of equality
Answer: the answer to the equation would be x=2
Step-by-step explanation:
You would use the subtraction property of equality to get ride of the five. Then you would subtract 11 by 5 and get 6. After that you would get the x by itself and divide it by 3. Them you will also divide 6 by 3 And be left with 2.
13/2 divided by 3/4
Answer: 26/3
Step-by-step explanation: When dividing by a fraction, we can change
the division sign to multiplication and flip the second fraction.
So 13/2 ÷ 3/4 means the same thing as 13/2 · 4/3.
So when dividing by a fraction, we can just multiply
by the reciprocal of that fraction or that fraction flipped.
Next we cross-cancel.
4 and 2 reduce to 2 and 1.
Multiplying across the numerator and denominators we have 26/3.
7n-5n=6 how do we solve this!
Be quick please also I need to show work
Step-by-step explanation:
7n-5n=6
2n=6
n=6/2
n=3
Rewrite 1/2 book 3/4 hour as a unit rate
Answer:
2/3 book/hour
Step-by-step explanation:
1/2 multiplied by 4/3= 2/3
I will give the brainiest
Six friends all use $2-off coupons to buy themselves movie tickets. They spend a total of $42.
What is the price of one movie ticket without the coupon?
$5
$11
$9
$7
Solve. 3 x+2y−z=8 2x+2z=−4 x+3y=4 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. ( , , )
Answer:
x = 1 , y = 1 , z = -3
Step-by-step explanation:
Solve the following system:
{3 x + 2 y - z = 8
2 x + 2 z = -4
x + 3 y = 4
Hint: | Choose an equation and a variable to solve for.
In the third equation, look to solve for x:
{3 x + 2 y - z = 8
2 x + 2 z = -4
x + 3 y = 4
Hint: | Solve for x.
Subtract 3 y from both sides:
{3 x + 2 y - z = 8
2 x + 2 z = -4
x = 4 - 3 y
Hint: | Perform a substitution.
Substitute x = 4 - 3 y into the first and second equations:
{3 (4 - 3 y) + 2 y - z = 8
2 (4 - 3 y) + 2 z = -4
x = 4 - 3 y
Hint: | Expand the left hand side of the equation 3 (4 - 3 y) + 2 y - z = 8.
3 (4 - 3 y) + 2 y - z = (12 - 9 y) + 2 y - z = 12 - 7 y - z:
{12 - 7 y - z = 8
2 (4 - 3 y) + 2 z = -4
x = 4 - 3 y
Hint: | Expand the left hand side of the equation 2 (4 - 3 y) + 2 z = -4.
2 (4 - 3 y) + 2 z = (8 - 6 y) + 2 z = 8 - 6 y + 2 z:
{12 - 7 y - z = 8
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{12 - 7 y - z = 8
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Isolate terms with y to the left hand side.
Subtract 12 - z from both sides:
{-7 y = z - 4
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Solve for y.
Divide both sides by -7:
{y = 4/7 - z/7
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Perform a substitution.
Substitute y = 4/7 - z/7 into the second equation:
{y = 4/7 - z/7
8 - 6 (4/7 - z/7) + 2 z = -4
x = 4 - 3 y
Hint: | Expand the left hand side of the equation 8 - 6 (4/7 - z/7) + 2 z = -4.
8 - 6 (4/7 - z/7) + 2 z = 2 z + ((6 z)/7 - 24/7) + 8 = (20 z)/7 + 32/7:
{y = 4/7 - z/7
(20 z)/7 + 32/7 = -4
x = 4 - 3 y
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for z:
{y = 4/7 - z/7
(20 z)/7 + 32/7 = -4
x = 4 - 3 y
Hint: | Isolate terms with z to the left hand side.
Subtract 32/7 from both sides:
{y = 4/7 - z/7
(20 z)/7 = -60/7
x = 4 - 3 y
Hint: | Solve for z.
Multiply both sides by 7/20:
{y = 4/7 - z/7
z = -3
x = 4 - 3 y
Hint: | Perform a back substitution.
Substitute z = -3 into the first equation:
{y = 1
z = -3
x = 4 - 3 y
Hint: | Perform a back substitution.
Substitute y = 1 into the third equation:
{y = 1
z = -3
x = 1
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = 1 , y = 1 , z = -3
please help me. if right I will give brainlist, thanks, and 5 stars
Smita is experimenting with how a paper airplane's shape affects the distance it will fly. Which action is the result of her logical reasoning? A. She follows her procedure carefully. B. She decides to use the same type of paper for each airplane. C. She decides to perform the experiment outside on a windy day. D. She records only the data that support her favorite hypothesis.
Answer:
She decides to use the same type of paper for each airplane
Step-by-step explanation:
Answer:
b just did it
Step-by-step explanation:
Please help me with this
I need help this is math
Answer:
B. x+(y+z)
Step-by-step explanation:
Minus(minus) gives plus(+)
A pattern of increasing perfect squares is shown below.
25, 36, 49, 64, _, 100
What number do you need to find the square to find the missing term?
A. 6
B. 8
C. 7
D. 9
What are factors in the expression 4x(3x^2+5y)
Answer:
12x^3 +20xy
Step-by-step explanation:
Hope this Helped!!!!!!!!!!!!
Answer:
Technically it is 12x^3 + 20xy but the answer choice is 12 and 20.
Step-by-step explanation:
For the work, you need to distribute 4x to each term in the ( ).
Complete the paragraph proof. We are given that Ray E B bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures degrees. Since the measure of a straight angle is 180°, the measure of angle must also be 90° by the . A bisector cuts the angle measure in half. m∠AEB is 45°.
Answer:
1. 90
2. AEC
3. angle addition postulate
:)
Answer:
answers
Step-by-step explanation:
HELP I WILL MARK YOU BRAINLIEST Akai was eating a pizza over the course of the weekend. On Saturday night, he ate 34 of the pizza. On Sunday morning he ate 16 of the pizza, and on Sunday night he ate the rest of the pizza. What portion of the pizza did he eat on Sunday night?*
Answer:
34+16=50% of the pizza so on Sundays night he ate the other 50%
:)
what is the answer for -9+x=-26
Answer:
x =-17
Step-by-step explanation:
[tex]-9+x=-26\\\\\mathrm{Add\:}9\mathrm{\:to\:both\:sides}\\-9+x+9=-26+9\\\\Simplify\\x=-17[/tex]
Which type of transformation is shown here?
Answer:
this one is Rotation
Step-by-step explanation:
it's going to flip on the side
Rate of change of rational functions
Answer:
0.635
Step-by-step explanation:
[tex]rate~of~change = \dfrac{f(x_2) - f(x1)}{x_2 - x_1}[/tex]
[tex]rate~of~change = \dfrac{f(x_2) - f(x1)}{x_2 - x_1}[/tex]
[tex] x_1 = 0 [/tex] [tex]x_2 = 0.3[/tex]
[tex] f(x) = \dfrac{-7x^3}{x^4 - 1} [/tex]
[tex] f(x_1) = f(0) = \dfrac{-7(0)^3}{(0)^4 - 1} [/tex]
[tex] f(x_1) = \dfrac{0}{-1} = 0 [/tex]
[tex] f(x_2) = f(0.3) = \dfrac{-7(0.3)^3}{(0.3)^4 - 1} [/tex]
[tex]f(x_2) = \dfrac{-0.189}{-0.9919} = 0.190543[/tex]
[tex] rate~of~change = \dfrac{0.190543 - 0}{0.3 - 0} = 0.635 [/tex]
Find the product: -1(-28)=
Answer:
the answer is 28