Answer:
The set of rational numbers is closed under addition, subtraction, multiplication, and division (division by zero is not defined) because if you complete any of these operations on rational numbers, the solution is always a rational number
Step-by-step explanation:
Rational Numbers closed under division
What are rational numbers?Rational Numbers: Any number that can be written as a ratio (or fraction) of two integers is a rational number.
Given:
we have to find the Numbers closed under division
Whole numbers are not closed under division because denominator can't be equal to 0.
Similarly, Natural Numbers and Irrational Numbers are not closed under division.
Since the result of any of these operations on rational numbers is always a rational number, the set of rational numbers is closed under addition, subtraction, multiplication, and division (division by zero is not defined).
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The first term of the sequence is -9 and the common ratio is -2
Answer:
[tex]2nd \: term = - 9 + ( - 2) \\ = - 11 \\ 3rd \: term = - 11 +( - 2) \\ = - 13 \\ 4th \: term = - 13 + ( - 2) \\ = - 15 \\ \\ ..........[/tex]
What is the range of the relation shown below?
{(-1, -3), (5, 5), (2, 2), (3, 0)}
The range of the function is given by R = { -3 , 5 , 2 , 0 }
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the function relation be represented as set A
Now , the value of set A is given by
Set A = { (-1, -3), (5, 5), (2, 2), (3, 0) }
Now , the range is the set of outputs of a relation
So , it is the set of all possible y values in the relation
Substituting the values in the equation , we get
So , the range of the relation is set R = { -3 , 5 , 2 , 0 }
Therefore , the value of R is { -3 , 5 , 2 , 0 }
Hence , the range of the function is { -3 , 5 , 2 , 0 }
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If water freezes at 0ᴼC, which temperature is above freezing
Answer:
32 F
Step-by-step explanation:
George bought a bag of dog food that was 1/3 pounds. He fed his dog 5 times with this bag of food. How many pounds of food did he dog eat at each feeding?
Answer:
[tex]\dfrac{5}{3}\ \text{pounds}[/tex]
Step-by-step explanation:
George bought a bag of dog food that was 1/3 pounds.
George fed his dog 5 times with this bag of food.
We need to find how many pounds of food did the dog eat at each feeding. Let it be x.
[tex]x=\dfrac{1}{3}\times 5\\\\x=\dfrac{5}{3}\ \text{pounds}[/tex]
So, the dog eat [tex]\dfrac{5}{3}\ \text{pounds}[/tex] of food at each feeding.
What is always coming, but never arrives?
What can be broken, but is never held?
What is it that lives of it is fed, and dies of you give it a drink?
Answer: A plant
Step-by-step explanation: Hey Lisa I miss you
Alexis had a cell phone that cost $65. She
recently bought a new cell phone that cost
$79. What is the approximate percent of
increase in the price of phones?
(79-65)/65) x 100 = 21.54%
Solve the linear equation.
x/7 = -8
Answer:
x = - 56
Step-by-step explanation:
Given
[tex]\frac{x}{7}[/tex] = - 8 ( multiply both sides by 7 to clear the fraction )
x = - 56
Answer:
x = -56
Step-by-step explanation:
i just simplified both sides of the equation you could say.
Solve |-x+ 5| = |3x – 3| by graphing.
Answer:
your points should be -1 and 2
Step-by-step explanation:
hope this helps :)
Answer:
x=-1 and 2.
Step-by-step explanation: If you have a calculator, (ti 84), go to math, and Numeric solver. insert the equations. Or you can solve this algebraically
please help what’s the function notation as a ordered pair
F(8)=-5
Answer:
rftgkyio
----------------------------------------54sbmm8uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuurvbyf89weuyhr8gt9reytgkjioer0fwe
Step-by-step explanation:
rfttgrjipyuhhgi09k54rtjmoskgjpsdi
Help needed! What is the amplitude of this graph and given there are no other transformations, write the equation of this cosine function? comment if you can't help so I know please!
If the selling price of a radio is Rs 365 and lose is the Rs 79 find the purchased price
Answer:
Purchase price of radio is Rs 444.
Step-by-step explanation:
It is given that:
Selling price of radio = Rs 365
Amount of loss = Rs 79
Let,
x be the purchase price.
Loss = Purchase price - Selling price
79 = x - 365
x = 365 + 79
x = Rs. 444
Thus,
Purchase price of radio is Rs 444.
Write the equation of a line going through the points (4,2) and (7,-3).
Answer:
Equation of the straight line passing through the point ( 4,2) and (7,-3) is
5 x + 4y - 28=0
Step-by-step explanation:
Step(i):-
Given points are ( 4,2 0 and ( 7,-3)
Slope of the line
[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-3-2}{7-4} = \frac{-5}{4}[/tex]
Step(ii):-
Equation of the straight line passing through the point ( 4,2) and
having slope m = [tex]\frac{-5}{4}[/tex]
y - y₁ = m( x- x₁ )
[tex]y - 2 = \frac{-5}{4} ( x-4)[/tex]
4( y -2) = -5( x-4)
4 y - 8 = - 5x +20
5x +4y -8 -20=0
5 x + 4y - 28=0
Final answer:-
Equation of the straight line passing through the point ( 4,2) and (7,-3) is
5 x + 4y - 28=0
what is this answer?
7k-3k+11
Answer:
4k+11 is the answer
Step-by-step explanation:
7k-3k =4k
4k+11!
What is the vertex of this quadratic function.
(x-4)2 + 3 = 0
Answer:
(4, 3)
Step-by-step explanation:
Please use " ^ " to indicate exponentiation: (x-4)^2 + 3 = f(x) (which is not 0)
Comparing:
f(x) = (x - 4)^2 + 3 to the general vertex equation
f(x) = (x - h)^2 + k
tells us that the vertex is (h, k): (4, 3)
3х - 2y = 11
Need the answer
Answer:
Step-by-step explanation:
Im assuming you the equation in terms of y, that's the conventional thing in high school math.
Add 2y to both sides:
3x = 2y + 11
Subtract 11 from both sides:
2y = 3x - 11
Divide both sides by 2:
y = (3x - 11)/2
N
A plant is 6 inches tall. After 2 weeks, the plant is
14 inches tall. How many inches did the plant grow?
A. What information do you know?
The plant starts at
inches.
The plant grows to
inches.
B. What do you need to find out?
Answer:
A: Plant= 6 inches/ after 2 weeks= 14 inches
B: You are trying to find the answer to, “ How many inches did the plant grow?”
Answer:
i know that the plant starts at 6 inches.The plant grows to 14 inches. We need to find out how inches did the plant grow.It grew 8 inches.
Step-by-step explanation:
3.(06.01)
What is the value of the expression 5^2 +2^2? (2 points)
Answer:
29
Step-by-step explanation:
5^2=25
2^2=4
25+4=29
Answer: 29 is the final answer
Step-by-step explanation: Have a nice day - Lily ^_^
Here are two rectangles.
6 cm
9 cm
8 cm
12 cm
Complete this sentence.
The two rectangles are similar and the scale factor is
Answer: The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.
Step-by-step explanation:
what is an equation of the line that passes through the point (5,1) and is parallel to the line x+y=9
Given a sphere with a diameter of 6 cm, find its volume to the nearest wholenumber.
A. 905 cm^3
B. 85 cm^3
C. 113 cm^3
D. 37 cm^3
Answer: It’s 113 cm3
Step-by-step explanation:
I GUESSED ♀️
State the inverse of the ordered pair:(−8,3).
Answer:
i d k
Step-by-step explanation:
Answer two questions Equations A and B 3(x+2)=18 x+2=18
Answer:
The first one is x=4 and the second is x=16
Step-by-step explanation:
This is 100% true I put through photomath
Answer:
A is 4
B is 16
Step-by-step explanation:
A plane starts at the origin of the coordinate plane The plane flies 0.5 units left and 3.5 units up to point X. What are the coordinates of point X?
Answer:
(-0.5, 3.5)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Devin has a furniture store. He sold a shoe rack recently for 3450. It cost him just 2300 to make the rack
What is Devin's profit percent?
Answer:
50%
Step-by-step explanation:
3450 - 2300 = 1150
1150/ 2300 × 100 = 50
Help asap will give brainliest
Answer:
Graph A is increasing more rapidly, so Dan is correct
2. Write a quadratic function that has -intercepts (- 3, 0) and (4, 0) and passes through the point (5, 8)
Answer:
[tex]f(x)=x^2-x-12[/tex]
Step-by-step explanation:
Quadratic Function
Standard Form of Quadratic Function
The standard representation of a quadratic function is:
[tex]f(x)=ax^2+bx+c[/tex]
where a,b, and c are constants.
When the zeros of f (x1 and x2) are given, it can be written as:
f(x)=a(x-x1)(x-x2)
Where a is a constant called the leading coefficient.
We are given the two roots of f: x1=-3 and x2=4, thus:
f(x)=a(x+3)(x-4)
We also know that f(5)=8, thus:
f(5)=a(5+3)(5-4)=8
Operating:
a(8)(1)=8
Solving:
a=1
The function is:
f(x)=1(x+3)(x-4)
Operating:
[tex]\boxed{f(x)=x^2-x-12}[/tex]
Would love it if you guys helped me and showed solutions! Brainly points and thank you points too! <3
Unitary method question.
Answer:
the better value is £9
Step-by-step explanation:
unitary method..
find out how much 1kg will cost in the supermarket and multiply by 12.5kg
For the supermarket
1.83/2.5= 0.732 for one kg.
for 12.5 kg
0.732× 12.5= £9.15
hence the farm shop price is lower than the supermarket price
15-2.5x=40 which is the correct first step to solve the liner equation
Answer:
subtract 15 from both sides if you're solving for x
The first step should be subtracting 15 from both side.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. Every mathematical equation has the formula L.H.S = R.H.S.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given equation:
15-2.5x=40
Now, to solve for x the first step should be subtracting 15 from both side
15 - 2.5x - 15 = 40- 15
-2.5x = 25
Now, divide by (-2.5) from both side
-2.5x / (-2.5)= 25/(-2.5)
x= -10
Hence, the first step should be subtracting 15 from both side.
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Addison measured a house and its lot and made a scale drawing, The scale she used was
1 inch : 3 feet. The backyard is 10 inches in the drawing, How long is the actual yard?
Answer:
I think it's
10 X 3 = 30 feet
solve for X
5(x+8)= 8(x+1)
Answer:
x = [tex]\frac{32}{3}[/tex] (see below)
Step-by-step explanation:
First, use distributive property:
5 (x + 8) = 8 (x + 1)
5x + 40 = 8x + 8
Then, simplify the equation by combining like terms. You want to isolate the variable to one side of the equation so you can solve for it. Here what I'm talking about:
5x + 40 = 8x + 8
-5x -5x
-------------------------
40 = 3x + 8
-8 -8
-----------------
32 = 3x
Now, divide both sides by 3 to get the value of x:
3x = 32
x = [tex]\frac{32}{3}[/tex]
or
x ≈ 10.7
Answer:
x= 32/3
Step-by-step explanation:
5(x+8)= 8(x+1)
5x+40=8(x+1)
5x=40=8x+8
5x+40=8x+8
5x+40-40=8x+8-40
5x=8x-32
5x=8x-32
5x-8x=8x-32-8x
-3x=-32
-3x = -32
(Divide both by -3)
x=32/3