Which set is closed under subtractionWhich answer choice shows that the set of irrational numbers is not closed under addition
Answers
Answer:
(a) Set of rational numbers
(b) [tex]\pi + (-\pi) = 0[/tex]
Step-by-step explanation:
Solving (a): Set that is closed under subtraction
The solution to this is rational numbers.
For a set of number to be closed under subtraction, the following condition must be true
[tex]a -b = c[/tex]
Where
a, b, c are of the same set.
The above is only true for rational numbers.
e.g.
[tex]1 - 2 = -1[/tex]
[tex]5 - 5 = 0[/tex]
[tex]\frac{1}{2} - \frac{1}{4} = \frac{1}{2}[/tex]
[tex]4 - 2 = 2[/tex]
The operations and the result in the above samples are rational numbers.
Solving (b): Choice not close under addition[See attachment for options]
As stated in (a)
For a set of number to be closed under subtraction, the following condition must be true
[tex]a -b = c[/tex]
Where
a, b, c are of the same set.
In the given options (a) to (d), only
[tex]\pi + (-\pi) = 0[/tex] is not close under addition because:
[tex]\pi[/tex] is irrational while [tex]0[/tex] is rational
In other words, they belong to different set
Related Questions
- 4x < 68
A. Solve by adding 4 to each side.
B. The solution is x>-17.
a or b will mark as brainliest
(ignore the last thing)
Answers
Answer:
B.x>-17
Step-by-step explanation:
1. Divide both sides by -4:
-4x/-4<68/-4
2.< will change to > since you are dividing by negative
3.your final answer will be x>-17
Quadrilateral QRST is a parallelogram. Solve for x (3x+5) (9x-17)
Answers
Given:
Consider the below figure attached with this equation.
Quadrilateral QRST is a parallelogram.
To find:
The value of x.
Solution:
We know that the sum of two consecutive interior angles of a parallelogram is 180 degrees because they are supplementary angles.
In parallelogram QRST,
[tex]m\angle Q+m\angle T=180^\circ[/tex]
[tex](3x+5)^\circ+(9x-17)^\circ=180^\circ[/tex]
[tex](12x-12)^\circ=180^\circ[/tex]
On comparing both sides, we get
[tex]12x-12=180[/tex]
[tex]12x=180+12[/tex]
[tex]12x=192[/tex]
Divide both sides by 12.
[tex]x=\dfrac{192}{12}[/tex]
[tex]x=16[/tex]
Therefore, the value of x is 16.
tan150 cos135 cos100÷sin585 cos150 sin170
Answers
Answer:
-0.66
Step-by-step explanation:
use the calculator
Step-by-step
explanation:use the calculator
Solve the formula d = rt for r.
Answers
you just divide both sides by t to isolate r
Please last one I promise I need help figuring this out I have been stuck on it for a while I will mark the person that gets the correct answer a brainliest person
Answers
Answer:
c
Step-by-step explanation:
Please help!! I'm in summer school and I can't fail
Answers
Answer and Step-by-step explanation:
The slope would be positive 1. (Third answer choice).
This is because, using the Rise over Run method of finding slope, we go 1 unit up and 1 unit to the right, showing that it is going in the positive direction (up and right) and has a slope of 1.
#teamtrees #PAW (Plant And Water)
Let a = -4.82 and b = 4.35. All of the following statements are true except
The sum of a and b is negative.
The product of a and - b is positive.
The quotient of a and - b is the same as the quotient of - a and b.
The distance between a and b on the number line is 0.47 units.
Answers
Answer:
the sum of -4.82 and 4.35 = -0.47
so a is correct
the product of -4.82 and 4.35 = -20.967
so b is incorrect
the quotient of -4.82 and -4.35 is 1.10804597701
the quotient of 4.82 and 4.35 is 1.10804597701
so c is correct
if we subtract 4.35 from -4.82 we get -9.17
so d is incorrect
Hope This Helps!!!
Which is the solution to the inequality?
3
8
15
o b< 2 1
15
Ob>27
o b<3 77
O b>37
Answers
Answer:
D (last answer)
Step-by-step explanation:
solve and simply
Kelly is flying a kite. She staked the kit to the ground. The angle of elevation between the string and ground is 70˚. The string on the kite is 65 meters long. How far is the kite above the ground? (Round to two decimal places)
Answers
Answer:
Step-by-step explanation:
a=8 and b=2.25 but what is k
Answers
Answer:
a = 8, b = 2.25, k = 27Step-by-step explanation:
y = abˣPoints on the graph:
(0, 8), (1, 18), (1.5, k)Substitute coordinates into equation and solve for and and b:
8 = ab⁰ ⇒ 8 = a*1 ⇒ a = 818 = 8b ⇒ b = 18/8 ⇒ b = 2.25Find k:
k = 8*[tex]2.25^{1.5}[/tex] = 27Answer:
a=8
b=9/4
k = 27
Step-by-step explanation:
y = ab^x
We know that a is the initial value or when x = 0
We know the point (0,8) so a = 8
y = 8 b^x
Using the point (1,18) for x and y we can find b
18 = 8 * b^1
18/8 = b
9/4 = b
Now
y = 8 * ( 9/4) ^ x
Letting x = 1.5
k = 8 *(9/4)^1.5
k = 27
The slope of the line passing through the points (6, -1) and (7, -2) is
-3
-1
1
Answers
Answer:
-1
Step-by-step explanation:
when inputting our values into the formula for slope, we get (-2 - -1)/(7 - 6). Subtracting gives us -1/1 and our final answer is -1.
p.s tysm
Awnser this for brainliest.
Answers
Answer:
1 is the number that goes in the blank
Step-by-step explanation:
3(2x+1)
Distribute
3*2x+3*1
6x+3
Answer:
3*2x+3*1
6x+3
hope it help
How many real solutions does the quadratic equation
have?
10x^2– 5x – 7 = 0
1. 2
2. 0
3. 1
4. 3
Answers
Answer:
Option 1: 2
Step-by-step explanation:
see the plotting (made with desmos)
note that 3 is impossible, because a quadratic equation can't have 3 real zeros
what is 3x+8 + 4x+10
Answers
7x+18-answer
Step-by-step explanation:
3
+
8
+
4
+
1
0
3x+8+4x+10
3x+8+4x+10
Simplify
1
Add the numbers
3
+
8
+
4
+
1
0
3x+{\color{#c92786}{8}}+4x+{\color{#c92786}{10}}
3x+8+4x+10
3
+
1
8
+
4
3x+{\color{#c92786}{18}}+4x
3x+18+4x
2
Combine like terms
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]3x + 8 + 4x + 10[/tex]
Bring the like terms together & add them.
[tex]3x + 8 + 4x + 10 \\ = 3x + 4x + 8 + 10 \\ = 7x + 18[/tex]
[tex]\underline{\textsf{\textbf{Answer = 7x + 18}}}[/tex]
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
╭═══════ღ❦ღ══╮
[tex]RainbowSalt2^{2}2^{2}[/tex]
╰══ღ❦ღ═══════╯
Can some one help me out with this please?
Answers
Answer:
GOD BLESS YOU
Step-by-step explanation:
Abby has $500 in her savings account. She earns simple interest at 5% per annum. Calculate the interest she earns after two years
Answers
Answer:
50$
Step-by-step explanation:
5% of 500=25
If you earn 25 per year then in two years you will earn
25+25=50$
Given that the area of the trapezoid is 55cm find x
Answers
Answer: The value of x is 13.
Step-by-step explanation:
Area of trapezoid = [tex]\dfrac{1}{2}\times\text{sum of parallel sides}\times\text{height}[/tex]
Here , Parallel sides = 9 cm , x cm
Height (Altitude ) = 5 cm
Area = 55 sq. cm
Substitute all values in the formula , we get
[tex]55=\dfrac12\times{(9+x)}\times5\\\\ \dfrac{2\times55}{5}=9+x\\\\ 22=9+x\\\\ x=22-9\\\\ x=13[/tex]
Hence, the value of x is 13.
The equation y 55x represents the
relationship between x, the time that a train
travels in hours, and y, the distance the train
travels in miles for Train A. The table
represents the relationship for Train B.
Determine which train is traveling at a faster
rate of speed.
1
2
4
Time (h)
Distance (mi)
45
90
135
180
Answers
Answer:
Train A is travelling faster.
Step-by-step explanation:
Train A is going 55mph, and train B is going 45mph according to the table.
A 23 foot ladder is leaning against a wall. The angle of elevation of the ladder with the ground is `58\ degrees.` How far away is the bottom of the ladder from the bottom of the wall? Round your answer to the nearest hundredth.
Answers
Answer: 12.19 ft
Step-by-step explanation:
Given
Length of ladder is [tex]23 ft[/tex]
Angle of elevation is [tex]58^{\circ}[/tex]
Suppose the bottom of the ladder is x ft away from the bottom of the wall
from the figure, we can write
[tex]\Rightarrow \cos 58^{\circ}=\dfrac{x}{23}\\\\\Rightarrow x=23\cos 58^{\circ}\\\Rightarrow x=12.19\ ft[/tex]
Thus, the distance is 12.19 ft
HELP HELP HELP HELP HELP
Answers
Answer:
C
Step-by-step explanation:
7x+ 11x=90
because the whole angle is
90 which makes it the answer Wich make the X a number we don't know what it is but know it helps make the exaction =90
Answer:
option c is correct
Step-by-step explanation:
7x + 11x =90 degree (being perpendicular)
18x=90
x=90/18
x=5
(Trigonometry) The ladder leaning against a building makes an angle of 78° with the ground. The foot of the ladder is 5 feet from the building. How many feet long is the ladder? Round your answer to the nearest whole number. (Hint: DRAW A PICTURE)
Answers
10
feet away from the base of the wall. [Ans]
If 5400=54(100x+54), then x=?
Answers
Answer:
x=23/50
Step-by-step explanation:
Answer:
0.46
Step-by-step explanation:
Divide 5400 by 54 to get rid of it from the right side.
You will get 100=100x+54
Then subtract 54 from 100.
46=100x
Lastly, divide your number by 100 to get x.
Find the equation for the line with
the given properties
perpendiculor to the line 7x-5y=9
containing the point (-2,-1)
Answers
Answer:
y = -0.14286x + 1.2857
Step-by-step explanation:
Don't really know how to explain over a computer, but it is correct. Answer from Omnicalculator.
Hope that this helps!
9514 1404 393
Answer:
5x -7y = -3
Step-by-step explanation:
The equation of the perpendicular line can be written using the given equation as a starting point. Swap the x- and y-coefficients and negate one of them. In standard form, the x-coefficient must be positive.
Find the new constant by using the x- and y-values of the given point.
-7x -5y = 9 . . . . given equation
-5x -7y = c . . . . equation with coefficients swapped
5x -7y = c . . . . . equation with swapped coefficients, x-coefficient negated
5x -7y = c = 5(-2) -7(-1) = -10 +7 = -3
The equation of the perpendicular line is ...
5x -7y = -3
Which are correct representations of the inequality 6x2 3 + 4(2x – 1)? Select three options.
12 2x
6x > 3 + 8x - 4
O
-1.5
-1
-0.5
0
0.5
1
1.5
-1.5
-0.5
0
0.5
1.5
-1.5
-1
-0.5
0
0.5
1
1.5
Answers
The proper way to express the above inequality is 6x4(2x-1) is x2.
What is inequality?A mathematical statement that has two mathematical expressions on each side of the inequality sign is called an inequality. The indicators for inequality are,, >, or.
6x4(2x-1) is the given inequality.
So, 6x≥8x-4
6x off of both sides gives us
6x-6x≥8x-4-6x
0≥8x-6x-4
0≥2x-4
4 added on both sides give us
0+4≥2x-4+4
4≥2x
By dividing both sides by half, we obtain
(1/2)×4≥(1/2)×2x
2≥x
x≤2
Therefore, x≤2 is the correct representation.
Learn more about inequality here:
brainly.com/question/19498063
#SPJ7
315,728 rouned to the nearest ten thousand
Answers
Answer:
320,000 is the answer
Step-by-step explanation:
have a good day!!
help pls i beg youuu
Answers
Answer:
height = 10 m
Step-by-step explanation:
base area of rectangular pyramid =180 m^2
volume of rectangular pyramid = lwh/3
600 = 180*h/3
600*3 = 180*h
1800/180 =h
10 = h
Answer:
I think the answer to the question is 10
Volume & surface! May I please have help
Answers
Answer:
D
Step-by-step explanation:
surface area of cylinder
=(area of base)×2 + (area of curved surface)
[tex]=(\frac{20}{2} )^{2} \pi[/tex]× 2 + [tex]20\pi[/tex] × 25
=2 × [tex]\pi[/tex] × [tex]10^{2}[/tex] + 2 × [tex]\pi[/tex] × 10 × 25
2.A ball is pulled out of a bag on the first pick. Then, it
is replaced in the bag and another ball is picked out . Independent or dependent ?
Answers
Answer:
Independent
Step-by-step explanation:
Since the ball is replaces, the same number of balls and type of balls are in the bag. The draw is identical to the first draw so the draws are independent.
express . 05 as a proper fraction in its lowest terms
Answers
Epd445 was allegedly caught texting 57 minors but 21 of them turned out to be of age. What is the total amount of minors he was allegedly caught texting with?
Answers
Answer:
He was caught texting 36 minors.
Answer:
Step-by-step explanation:
