Answers
The sum Given it can seen that according to the closure property of Rational numbers the addition of two rational numbers will sum up to a rational number provided that the rational numbers ≠ 0 and a set of rational number is closed under the closures property rule i.e x + y = y + x.
What is Closure Property of Integers ?
Closure Property of Integers states the sum or subtraction of two integers always gives an integer.
Rational number is defined as a number that can be made by dividing two integers.
Using the definition of rational and expanding the property, we can conclude that the sum of two rational numbers will result in a rational number.
using the closure property and based on the sum given, the addition of two rational numbers will sum up to a rational number provided that the rational numbers ≠ 0 and a set of rational number is closed under the closures property rule i.e x + y = y + x
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Related Questions
Determine algebraically whether the function is even, odd, or neither?
f(x)=3 x 3+5
Answers
The function f(x) = 3x³ + 5 is neither even nor odd. To determine whether a function is even or odd, you need to check how the function behaves when x is replaced with -x.
To determine whether the given function is even, odd, or neither, we need to check the following conditions:
Even function: If f(-x) = f(x) for all x in the domain of f, then the function is even.
Odd function: If f(-x) = -f(x) for all x in the domain of f, then the function is odd.
Let's check these conditions for the given function:
f(x) = 3x³ + 5
f(-x) = 3(-x)³ + 5 = -3x³ + 5
f(x) = 3x³ + 5
Since f(-x) is not equal to f(x), the function is not even.
f(-x) = 3(-x)^3 + 5 = -3x^3 + 5
-f(x) = -(3x^3 + 5) = -3x^3 - 5
Since f(-x) is not equal to -f(x), the function is not odd.
Therefore, the given function is neither even nor odd.
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Shelly incorrectly solves the equation 4−2x=−2.
Answers
Answer:
x=3
Step-by-step explanation:
x=3
4-2x=-2
-2x=-6
x=3
Answer:
Positive
Step-by-step explanation:
She incorrectly solved it because 4-2x = 2 ( Positive )
Need Help Find EI And ST
Answers
Answer:
Step-by-step explanation:
So first what you got to do is add and mulytplie
Subtract and simplify. (9^2 − 4 − 4) − (−2^3 − + 12)
Answers
Answer:
93
Step-by-step explanation:
Answer:
27
28
Step-by-step explanation:
Could somebody please tell me what angles A and B equal along with X?
Answers
Answer:
x = 28
m∠A = 76°
m∠B = 104°
Step-by-step explanation:
Given the figure we can see that the two angles which measure
2x + 20 and 4x - 8 are adjacent linear angles and therefore they are supplementary angles which further means they add up to 180°
So
2x + 20 + 4x - 8 = 180
2x + 4x + 20 - 8 = 180\
6x + 12 = 180
6x = 180 - 12
6x = 168
x = 168/6
x = 28
We also have the property that angles that are vertically opposite each other at the vertex of the intersection of two lines are equal
So the angle represented by 2x + 20 = 2(28) + 20 = 56 + 20 = 76°
∠A is a vertically opposite angle to this angle and therefore the magnitude of ∠A denoted by m∠A = 76°
The angle represented by 4x - 8 = 4(28) - 8 = 112 - 8 = 104°
Since ∠B is a vertically opposite angle to this angle we have
m∠B = 104°
Tessa is opening Tessa's Terrific Tees, her own custom T-shirt business. She bought a T-shirt printing machine that is currently valued at $2,200. The machine loses 1 4 of its value every year. Write an exponential equation in the form y=a(b)x that can model the value of the machine, y, x years after purchase. Use whole numbers, decimals, or simplified fractions for the values of a and b.
Answers
Answer:
y= 2200 (3/4)x
Step-by-step explanation:
You can model a real-world situation involving an initial value and a constant growth or decay factor with an exponential equation in the form y=a(b)x, where b>0 and b≠1.
The constant a represents the initial value. It is the y-value of the equation when x=0.
The constant b represents the growth or decay factor.
When the equation models exponential growth, b>1.
When the equation models exponential decay, 0<b<1.
An exponential equation in the form y=a(b)x can model the value of the machine, y, x years after purchase. To write the equation, first look for phrases in the problem that tell you about the initial value, a, and the growth or decay factor, b.
Tessa is opening Tessa's Terrific Tees, her own custom T-shirt business. She bought a T-shirt printing machine that is currently valued at $2,200. The machine loses 1/4 of its value every year.
The constant a is the initial value. The initial value of the machine is $2,200. So, a=2,200.
The constant b is the decay factor, since the value of the machine is decreasing. The machine loses 1/4 of its value each year. In other words, the value of the machine each year will be 1–1/4= 3/4
times the value the year before. So, b= 3/4.
The exponential equation y= 2200 (3/4)x models the value of the machine.
An exponential equation in the form y=a(b)x that can model the value of the machine, y, x years after purchase is y= 2200*14*x
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0. In mathematics, a linear equation is an equation that may be put in the form [tex]{\displaystyle a_{1}x_{1}+\ldots +a_{n}x_{n}+b=0, } where x_{1}, \ldots, x_{n} are the variables, and {\displaystyle b, a_{1}, \ldots, a_{n}}[/tex] are the coefficients, which are often real numbers.
Given that;
The cost of tshirt printing machine= $2200.
The lose of machine= 14
Now,
Substituting all the values in equation y=a(b)x
a=2200
b=14
y=2200*14*x
Therefore, the linear equation of the question will be y=2200*14*x
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Find the ratio of 24 min to 1 hour
Answers
Work Shown:
24 min : 1 hour
24 min : 60 min
24 : 60
24/12 : 60/12
2 : 5
The ratio of 24 minutes to 1 hour is 2 : 5
What is ratio?
A ratio compares values. A ratio says how much of one thing there is compared to another thing. even though there are more squares. The trick with ratios is to always multiply or divide the numbers by the same value. Example: A Recipe for pancakes uses 3 cups of flour and 2 cups of milk.
Solution:
Find the ratio of 24 to 1 hour = 60 minutes:
[tex]= > Ratio = \frac{24}{60} \\\\\\= > Ratio =\frac{2}{5} \\\\= > \boxed{Ratio =\bold{2:5}}[/tex]
Hence, the ratio of 24 minutes to 1 hour is 2 : 5.
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Ok I know it’s late but I really need help with these problems and no one can help me so can someone please help and explain. I know it’s a lot but I’m really confused, thank you so much.
Answers
Answer:
1. x = 0.75
2. p = 4
3. L = 11
4. t = 42
Step-by-step explanation:
1. The price of pen is x, then
=> 6x + 24 = 28.5
=> 6x = 4.5
x = 4.5/6 = 0.75
2. p is the number of lbs
=> 2p + 50 = 58
2p = 8
p = 4
3. Perimeter = 2(L + W)
2(L + 4) = 30
=> 2L + 8 = 30
2L = 22
L = 11
4. t is the number of tickets
3t + 24 = 150
3t = 126
t = 126/3 = 42
You need to score at least 1500 points on your new video game to abstain the high score. You get 300 points after completing each level. Write a solve an inequality to find the number of levels you must bet to obtain the high score.
Answers
Answer:
the answer is 4
Step-by-step explanation:
hope this helps
help plsssssssssssssss
Answers
Lars, Rita and Alan regularly go swimming. Lars goes every
2 days, Rita goes every 3 days and Alan goes every 5 days.
They all went swimming together on Friday 1st June.
a) On what date will Lars and Rita next go swimming together?
b) On what date will Rita and Alan next go swimming together?
c) On what day of the week will all 3 next go swimming together?
d) Which of the 3 (if any) will go swimming on 15th June?
Answers
Part (a)
Lars goes every 2 daysRita goes every 3 daysThe LCM of 2 and 3 is 2*3 = 6.
Lars and Rita's schedule aligns every 6 days.
These two went swimming together on June 1st.
6 days later would be June 7th, which is when they swim together again. See the chart in part (d) below.
Answer: June 7th======================================================
Part (b)
Rita goes every 3 daysAlan goes every 5 days.LCM = 3*5 = 15
Add 15 days to the first of June to get 1+15 = 16. See the chart in part (d) below.
Answer: June 16th======================================================
Part (c)
The LCM of 2, 3, and 5 is 2*3*5 = 30
The trio will swim together every 30 days.
Since there are 7 days in a week, divide 30 over 7 and find the remainder.
30/7 = 4 remainder 2
We don't care about the quotient. All we focus on is the remainder.
A remainder of 2 means that we move 2 days ahead of Friday to land on Sunday. You can use a calendar to confirm that adding 30 days to the starting Friday will get you to Sunday. It doesn't matter what month you are in, so it could be June or any month really.
Answer: Sunday======================================================
Part (d)
Here's a chart when all three go swimming:
[tex]\begin{array}{|c|c|c|} \cline{1-3}\text{Lars} & \text{Rita} & \text{Alan}\\\cline{1-3}1 & 1 & 1\\\cline{1-3}3 & 4 & 6\\\cline{1-3}5 & 7 & 11\\\cline{1-3}7 & 10 & 16\\\cline{1-3}9 & 13 & 21\\\cline{1-3}11 & 16 & 26\\\cline{1-3}13 & 19 & 31\\\cline{1-3}15 & 22 & 36\\\cline{1-3}\end{array}[/tex]
Each number refers to a day number in June, with exception to the 36 for Alan. Treat that "36" as 36-30 = 6 days beyond the end of June (aka July 6th).
Each person starts at 1. Lars will involve adding 2 to each item. Rita has +3 to each item. Alan has +5 to each item. That chart shows "15" only in the Lars column.
Answer: Lars only(03.03 LC)
How does the graph of g(x) = (x - 2)3 + 7 compare to the parent function f(x) = x³?
Answers
The graph of g(x) = (x - 2)^3 + 7 is a transformation of the parent function f(x) = x^3.
The parent function f(x) = x^3 has a shape that is symmetrical about the origin and increases as x moves away from the origin. The graph of g(x) = (x - 2)^3 + 7 is also symmetrical about the origin, but it has been translated 2 units to the right and 7 units up from the parent function.
So, the graph of g(x) = (x - 2)^3 + 7 is similar in shape to the parent function f(x) = x^3, but it is shifted to the right and up on the coordinate plane.
Find the inverse equations for each of the functions below. Use function notation. Justify that each inverse equation works for its function.
A. g(x)= x³ - 5
B. p(x) = 2(x+3)³
C. t(x) = 10(x-4)/3
Answers
The inverse of the functions g(x), p(x), and t(x) are expressed as; g⁻¹(x) = 3√(x + 5), p⁻¹(x) = 3√(x/2) - 3, and t⁻¹(x) = (3x/10) - 3. respectively.
What is Inverse of a functionA function is said to have an inverse if it is both one-to-one and onto
we replace the functions g(x), p(x), and t(x) with y and make x the subject to arrive at the inverse g⁻¹(x), p⁻¹(x), and t⁻¹(x) as follows;
For g(x)= x³ - 5:
y = x³ - 5
y + 5 = x³ {add 5 both sides}
x = 3√(y + 5) {take cube root}
g⁻¹(x) = 3√(x + 5).
For p(x) = 2(x+3)³:
y = 2(x+3)³
y/2 = (x+3)³ {divide through by 2}
3√(y/2) = x + 3 {take cube root}
x = 3√(y/2) - 3 {subtract 3 from both sides}
p⁻¹(x) = 3√(x/2) - 3.
For t(x) = 10(x-4)/3:
y = 10(x-4)/3
3y = 10(x-4) {cross multiplication}
3y/10 = x + 3 {divide through by 10}
(3y/10) - 3 = x {subtract 3 from both sides}
t⁻¹(x) = (3x/10) - 3.
Therefore, the inverse of the functions g(x), p(x), and t(x) are derived by interchanging the value of x for y and expressed respectively as; g⁻¹(x) = 3√(x + 5), p⁻¹(x) = 3√(x/2) - 3, and t⁻¹(x) = (3x/10) - 3.
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Lineshasaslopeof
–8
9. Line
tisparalleltoline
s. What
istheslopeofline
t ?
Answers
Answer: 4
Step-by-step explanation:
in a train yard there are tank cars, boxcars, and flatcars. how many ways can a train be made up consisting of tank cars, boxcars, and flatcars? (in this case, order is not important.)
Answers
There are 55 ways to form a train consisting of tank cars, boxcars, and flatcars by using concept of combinations.
If there are t tank cars, b boxcars, and f flatcars in the train yard, then the number of ways to form a train by selecting some of these cars is the same as the number of ways to distribute n = t + b + f identical objects into three distinct boxes, such that each box may receive any number of objects (including zero). The solution is given by the combination formula:
C(n + k - 1, k - 1)
where k is the number of boxes (in this case, k = 3). Therefore, the number of ways to form a train from t tank cars, b boxcars, and f flatcars is:
C(t + b + f + 3 - 1, 3 - 1) = C(t + b + f + 2, 2) = (t + b + f + 2)! / ((t + b + f)! * 2!)
There are 4 tank cars, 3 boxcars, and 2 flatcars in the train yard, then the number of ways to form a train is:
C(4 + 3 + 2 + 2, 2) = C(11, 2) = 55
Therefore, there are 55 ways to form a train consisting of tank cars, boxcars, and flatcars
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This shows a triangle.
7ft
8ft
What is the area of the triangle?
Answers
The area of the given triangle is 28 squared feet
What is the area of a triangleThe area of a triangle is a measure of the amount of space enclosed by the triangle. It is a scalar quantity, meaning that it is a single numerical value with no direction.
The area of a triangle can be calculated using various formulas, depending on the information available about the triangle.
In this problem, we have the value of base and the height of the triangle.
The formula is given as;
A = 1/2 b * h
Substituting the values into the formula;
A = 0.5 * 7 * 8
A = 28 squared feet
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Arrange the digits 6, 0, 3, 2, and 4 to create the greatest possible five-digit number.
Answers
Answer:
The greatest possible five-digit number you can create with the numbers 6, 0, 3, 2, and 4 is 64,320.
Step-by-step explanation:
When it comes to creating the biggest number with a given set of digits, the one and only rule is to organize the digits from greatest to least, this way it ensures that you have the maximum possible values that aren't mitigated by having a small number before a larger one. Based on this, we can organize 6, 0, 3, 2, and 4 from greatest to least, which will be 64,320. Hence, the greatest possible five-digit number you can create with those given numbers is 64,320.
Have a great day! Feel free to let me know if you have any more questions :)
Factor 26r³s
O 13(2r³s + 475-37²54)
037²s(27+ 47³-38³)
O 13r²(2rs + 4r3 – 384)
O 13r²(26r³s + 527-5-39²4)
+5275-39724. What is the resulting expression?
Answers
The factor of the algebraic expression is 13r²(2rs + 4r³ - 3s⁴).
option C is the correct answer
What is the factor of the algebraic expression?
The factor of the algebraic expression given as
26r³s + 52r^(5) - 39r²s⁴
can be determined by finding the highest common factor and factorize it out.
The highest common factor of the letters is r²
Factors of 26 = 1, 2, 13, 26
Factors of 39 = 1, 3, 13, 39
Factors of 52 = 1, 2, 4, 13, 26, 52
The highest common factor for the 3 numbers is 13.
Thus, in total, the highest common factor for the algebraic expression is 13r².
Finally, we have;
13r²(2rs + 4r³ - 3s⁴)
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The complete question is below:
Factor 26r³s + 52r^(5) - 39r²s⁴
A. 13(2r³s + 475-37²s⁴)
B. 37²s(27+ 47³-38³)
C. 13r²(2rs + 4r³ – 3s⁴)
D. 13r²(26r³s + 527-5-39²4)
6x +16 += 2x+28
How do you do this??
Answers
From the given question above we can conclude that when 6x +16 += 2x+28 , then the value of x is 3.
What is Linear Equation?
A linear equation is a mathematical expression in which the highest power of the variable is 1. It can be written in the form of:
y = mx + b
where y and x are variables, m is the slope of the line, and b is the y-intercept of the line. This form is called the slope-intercept form of a linear equation.
To solve the equation 6x + 16 = 2x + 28:
Simplify both sides of the equation by combining like terms:
6x + 16 = 2x + 28
Subtract 2x from both sides:
4x + 16 = 28
Subtract 16 from both sides:
4x = 12
Solve for x by dividing both sides by 4:
4x = 12
x = 3
Therefore, the solution to the equation 6x + 16 = 2x + 28 is x = 3.
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19 ounces of canned corn for $3.61
Answers
Step-by-step explanation:
106 ounces106 ouncesThis 10 can contains 106 ounces of corn, making it ideal for foodservice operators and large gatherings.don't forget to smile today
and make brainalist
Write an equation in point-slope form for the given point and slope:
Point: (4, -6)
Slope: 2
Answers
Answer:
y = 2x -14
Step-by-step explanation:
The point-slope form is y = mx + b
m = 2
y-intercept is located at (0, -14)
So, the equation is
y = 2x - 14
Answer:
y-6=2(x-4)
Step-by-step explanation:
point-slope form y-y1=m(x-x1)
the soup shack usually makes tomato soup with 9 99 tomatoes for every 12 1212 bowls of soup. today, they used 6 66 tomatoes to make 8 88 bowls of soup. how does the tomato taste in today's soup compared to the usual recipe?
Answers
The taste of the tomato in today's soup compared to the usual recipe is same .
We find the tomato to soup ratio for each day to compare the taste of tomato in today's soup with the usual recipe,
For the usual recipe, the soup shack uses 9 tomatoes for every 12 bowls of soup, which can be simplified to a ratio of 9:12 ⇒ 3:4 .
This means that for every 3 parts of tomato, there are 4 parts of soup.
For today's soup, the soup shack used 6 tomatoes to make 8 bowls of soup, which can be simplified to a ratio of 6:8 ⇒ 3:4.
This means that for every 3 parts of tomato, there are 4 parts of soup, which is the same as the usual recipe.
Therefore, based on the tomato to soup ratio, the taste of tomato in today's soup is same as the usual recipe.
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The given question is incomplete , the complete question is
The soup shack usually makes tomato soup with 9 tomatoes for every 12 bowls of soup. today, they used 6 tomatoes to make 8 bowls of soup.
How does the tomato taste in today's soup compared to the usual recipe ?
which expression is equivalent to log12x^4√ x^3-2/(x+1)^5?
Answers
Answer:
D
Step-by-step explanation:
Tell me if u need explain
Which situation can be represented by y = 4x?
Responses
There are y cats and x dogs in a shelter. The cats and dogs each have 4 legs.
There are , y, cats and , x, dogs in a shelter. The cats and dogs each have 4 legs.
A recipe uses y cups of flour and x cups of sugar. The amount of flour is 4 times the amount of sugar.
A recipe uses , y, cups of flour and , x, cups of sugar. The amount of flour is 4 times the amount of sugar.
Tricia is y years old. This is 4 years older than her younger brother, Max, who is x years old.
Tricia is , y, years old. This is 4 years older than her younger brother, Max, who is , x, years old.
Sebastian buys y sacks of groceries. Each sack weighs 4 pounds. He carries x pounds of groceries home from the store.
Sebastian buys , y, sacks of groceries. Each sack weighs 4 pounds. He carries , x, pounds of groceries home from the store.
Answers
Answer:
a recipe uses y cups of flour and x cups of sugar the amount of flour is 4 times the amount of sugar
my proof I took the quiz
what answer below best addresses the following statistical problem? a new advertisement for ben and jerry's ice cream introduced in late may of last year resulted in a 30% increase in ice cream sales for the following three months. does this mean that the advertisement was effective? a. yes, because an increase in sales means the advertisement worked. b. no, because the increase in sales was all caused by another variable (specifically a change in weather) c. uncertain, because there are other variables at play and correlation does not equal causation d. uncertain, because it's impossible to measure the effectiveness of advertising.
Answers
The correct answer to this statistical problem is (c) uncertain, because there are other variables at play and correlation does not equal causation.
In this scenario, we're looking at the sales of Ben and Jerry's ice cream before and after the advertisement was introduced. The sales increased by 30% for the following three months after the advertisement. So, does this mean that the advertisement was effective? The answer is not as straightforward as a simple "yes" or "no."
Option (c) acknowledges that there are other variables at play and that correlation does not equal causation.
This is the most accurate answer because it recognizes that while the increase in sales may be related to the advertisement, it's impossible to say for sure whether the advertisement was the cause of the increase in sales.
There could be other factors, such as the weather or a change in consumer preferences, that also contributed to the increase in sales.
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If student 1 had 147 likes and student 2 had 42 did student 2 have a higher or lower percentage of likes than student 1 ?
Answers
Student 2 has lower percentage of likes as compare to student 1 ,it is equal to 71.5%.
Number of likes of student 1 is equal to 147
Number of likes of student 2 is equal to 42
147 > 42
⇒Number of likes of student 1 is greater than student 2
Difference between number of likes
= 147 - 42
= 105
Percentage difference = ( 105 / 147 ) × 100
= 71.5%
Student 2 has 71.5% lower percentage of likes than student 1
Therefore, student 2 has lower percentage of likes than student 1 which is equal to 71.5%.
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Amir notices that 3 out of every 50 cars that pass by his window
are green. If he observes 400 cars, what is the best estimate for how
many of them will be green?
Answers
Answer:
24 cars are green
Step-by-step explanation:
We know
Amir notices that 3 out of every 50 cars that pass by his window are green.
So, the ratio is 3:47
To get from 50 to 400, we time 8.
If he observes 400 cars, what is the best estimate of how many will be green?
We take
3 x 8 = 24 cars are green
So, there will be 24 cars that are green.
PLS HELP ANSWER QUICK PLEASE SHOW WORK
Answers
Answer: NIKES
Step-by-step explanation:
BEFAUSE 5/2 IS THE WHG0LE D[IWJAEOIDHNC;SHCOWIADHJA[OISHWNIOD
Answer: the answer is nike
Step-by-step explanation: Because the shipping fee on callaway is more than the order.
Find the area of the polygon in square units.
Answers
The area of the polygon is 7.5 square units
How to determine the area of the polygonNote that the polygon given in the diagram takes the shape of a kite.
The properties of a kite are given as;
It two pairs of adjacent equal sidesIt has one pair of opposite angles that are equalThe diagonals are equalThe shorter diagonal forms two isosceles trianglesThe longer diagonal forms two equal trianglesThe diagonals are perpendicular to each otherThe formula for area of a kite is;
Area = pq/2
Area = 3(5)/2
Area = 15/2
Divide the values
Area = 7.5 square units.
Thus, the value is 7.5 square units
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help me plssssssssss
