The domain and range of function Y = 4x² are:
Domain: (-∞, ∞) {x | x ∈ R}
Range: [0, ∞) {y | y ≥ 0}
Now, According to the question:
What are the domain and range?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
We have,
Y = 4x²
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation: (-∞, ∞)
Set-Builder Notation: {x | x ∈ R}
The range is the set of all valid y values: [0, ∞)
Set-Builder Notation: {y | y ≥ 0}
Hence, the domain and range of function Y = 4x² are:
Domain: (-∞, ∞) {x | x ∈ R}
Range: [0, ∞) {y | y ≥ 0}
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The complete question is this:
What is the domain of the function Y = 4x²
Find the midpoint of the line segment with end coordinates of:
(
−
4
,
−
2
)
and
(
−
2
,
−
10
)
Answer:
this is the answer (-3,-6)
PLEASE HELP ASAP! 55 POINTS Jackie wraps a sheet of paper tightly around a wax candle whose diameter is two inches, then cuts through them both with a sharp knife, making a 45° angle with the candle's axis. After unrolling the paper and laying it flat, Jackie sees the wavy curve formed by the cut edge, and wonders whether it can be described mathematically. Sketch this curve, then show that it is sinusoidal. It is very helpful to use radian measure to describe angles in this problem.
I GIVE THANKS AND MARK BRAINLIEST
WHAT ARE THE CORRECT ANSWER(S)?
Answer:
b and d
Step-by-step explanation:
slope is -0.632 which is quite literally what d is saying, (on terms of graphs) for every 1 square over it goes -0.63 squares down
Please help asap Due tonight in a couple hours
ES = ___ units
Round your answer to the nearest tenth.
Answer:
10.6 units
Step-by-step explanation:
Matthew scored a total of 168 points in his basketball season. He scored 147 of those points in the regular season and the rest were scored in his playoff game. What percent of his total points did he score in the playoff game?
Answer:
168 - 147 = 21
21/168 = 12.5
50 points help me out
Answer:x=20
Step-by-step explanation: <2 and <3 must be equal, so set 3x-10 equal to x+30, once simplified you get x equal to 20.
Answer:
x = 20
Step-by-step explanation:
Angle 2 and 3 are alternate (interior) angles which means that they are equivalent to each other.
3x-10=x+30
-x -x
2x-10=30
+10 +10
2x=40
x=20
The N71-90 virus will give an infected person a mild rash on their arms once the person has 1 billion of the virus cells in their body. After an initial infection with just one cell, each virus cell will divide into two cells every four hours. After 30 divisions there are 1,073,741,824 cells and the rash starts. Once the rash starts, the immune system kicks in and kills all of the virus cells within an hour. The number of virus cells in the body can be determined using the function where h is the number of hours after infection. If Jolene is infected by one virus cell, how many virus cells will she have after 12 divisions
Jolene will have 4096 virus cells in her body after 12 divisions
Why should we call viruses a cell?Viruses are something more than living or dead, they are both. Maybe we need a new classification of life for them, a life that lives when the environment is favorable and hibernate when it is not.
The function provided to determine the number of virus cells in the body after h hours is 2^h. To find the number of virus cells after 12 divisions, we can plug in 12 for h in the function.
2^12 = 4096.
So, Jolene will have 4096 virus cells in her body after 12 divisions.
Please note that Jolene would not develop a rash after 12 divisions as it would take 30 divisions (120 hours) for the rash to appear.
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Reduce the fraction and find the domain
The simplification of all the given algebra fractions are;
1) a/c
2) (a - b)/(a - 1)
3) (x + 1)/(x - 4)
How to solve algebraic fractions?An algebraic fraction is defined as a fraction whose numerator and denominator are algebraic expressions.
1) (abc + ab²)/(b²c + bc²)
Factorizing numerator and denominator gives;
ab(c + b)/bc(b + c)
b(b + c) will cancel out to get; a/c
2) (a² - b²)/(a² - a + ab - b)
Factorizing numerator and denominator gives;
[(a + b)(a - b)]/[a(a - 1) + b(a - 1)]
= [(a + b)(a - b)]/(a + b)(a - 1)
(a + b) will cancel out to get;
(a - b)/(a - 1)
3) (x² - 2x - 3)/(x² - 7x + 12)
Expanding the numerator and denominator gives;
(x² - 3x + x - 3)/(x² - 4x - 3x + 12)
= ((x + 1)(x - 3))/((x - 3)(x - 4)
(x - 3) will cancel out to get;
(x + 1)/(x - 4)
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plsss help
For the given polynomial, determine which of the binomials listed are factors. Pick two.
f(x) = 2x3 + 9x2 + 13x + 6
A.x + 1
B.x – 1
C.x + 2
D.x – 2
E.x + 3
F.x – 3
The factors for the Polynomial are (x+1) and (x+2).
What is Factor Theorem?According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number, then, (x-a) is a factor of f(x), if f(a)=0.
Given:
f(x) = 2x³ + 9x² + 13x + 6
Now, first (x+1) =0
x= -1
put x= -1 in f(x) as
f(-1) = 2(-1) + 9(1) + 13(-1) + 6
= -2 + 9 - 13 + 6
= 0
So, (x+1) is factor of f(x).
Now, second (x-1)= 0
x= 1
put x= 1 in f(x) as
f(1) = 2(1) + 9(1) + 13(1) + 6
= 2 + 9 + 13 + 6
= 31
So, (x-1) is not a factor of f(x).
Now, second (x+2)= 0
x= -2
put x= -2 in f(x) as
f(1) = 2(-2)³ + 9(-2)² + 13(-2) + 6
= -16 + 36 - 26 + 6
= 0
So, (x+2) is factor of f(x).
Now, second (x-2)= 0
x= 2
put x= 2 in f(x) as
f(1) = 2(2)³ + 9(2)² + 13(2) + 6
= 16 + 36 + 26 + 6
= 84
So, (x-2) is not a factor of f(x).
Now, second (x+3)= 0
x= -3
put x= -3 in f(x) as
f(1) = 2(-3)³ + 9(-3)² + 13(-3) + 6
= -54 + 81 - 39 + 6
= -6
So, (x+3) is not a factor of f(x).
Now, second (x-3)= 0
x= 3
put x= 3 in f(x) as
f(1) = 2(3)³ + 9(3)² + 13(3) + 6
= 54 + 81 + 39 + 6
= 180
So, (x-3) is not a factor of f(x).
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write an expression to describe a rule for the sequence. then find the 100th term in the sequence 5 13 21
The expression is 8n – 3; The 100th term is 797
How to calculate the 100th term in sequence?The nth term of an arithmetic sequence is given by:
an=a1+(100-1)d ....[1]
where
a1 is the first term
d is the common difference of two consecutive terms.
n is the number of terms.
Given the sequence:
5, 13, 21, 29, 37, 45, …
This is an arithmetic sequence with first term = 5 and common difference(d) = 8
Since;
13-5 = 8,
21-13 = 8,
29-21 = 8 and so on....
We have to find the 100th term in the sequence
Substitute in [1] we have;
an=a1+(100-1)d
an=5+(n-1)8=5+8n-8 = 8n-3
Substitute the given values and n=100 we have;
a100= 800 - 3 = 797
Therefore, the 100th term in the sequence is, 797 and an expression to describe a rule for the sequence is, 8n – 3;
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Sal brought 2 dozen apples to a science club meeting. He divided the apples equally among the 8 people there. How many apples did he give each person?
Division is the antithesis of multiplication. When you divide twelve into three equal groups, you get four in each group when you multiply three groups of four to create twelve.
How do you explain division?The opposite of multiplication is division. When you multiply three groups of four to produce twelve, you get four in each group when you split twelve into three equal groups. The basic objective of splitting is to determine how many equal groups are created or how many people are in each group after a fair distribution.
The phrase to use is "divide in half," not "divide by half," when discussing splitting something into two equal portions. In mathematics, multiplying by two is equivalent to dividing by half. Additionally, see "multiply by two."
The French term "douzaine," which denotes a group of 12, is where the word "dozen" originates.
2 dozen apples equals 24, and 24 divided by 8 is 3.
Therefore, the answer is 3.
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Water leaking onto a floor forms a circular pool. The circumference of the pool increases at a rate 24 cm/min. How fast is the area of the pool increasing when the radius is 5 cm
The area of the pool increasing at the rate of 753.98 cm²/min when the radius is 5 cm
How quickly does the pool's area grow when the radius is 5 cm?Given:
radius of the pool increases at a rate of 24 cm/min
To Find:
How quickly does the pool's area grow when the radius is 5 cm?
Solution:
we are given with the circular pool
hence the area of the circular pool =
A = πr²-----------------------------(1)
The area of the pool os increasing at the rate of 24 cm/min, meaning that the area of the pool is changing with respect to time t
so differentiating eq (1) with respect to t , we have
dA/dt =π 2r dr/dt
we have to find dA/dt with dr/dt = 24 cm/min and r = 5cm
substituting the values
dA/dt = π 2(5)24
dA/dt = π 26*8
dA/dt = π 240
dA/dt =240π
dA/dt = 753.98
The area of the pool increasing at the rate of 753.98 cm²/min when the radius is 5 cm
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Please help ASAP. Which of the following are solutions of the system of linear inequalities? y > 4x+1 y≥x+4.
Using graphical method, the solution to the system of linear inequality (x, y) are (1, 5)
What is System of Linear InequalityA mathematical statement called a linear inequality depicts the relationship between two different variables, typically on a graph. A line or border that divides the area of all the points that fulfill the inequality from the areas of the points that do not constitutes the graph of a linear inequality. A set of lines in the coordinate plane that represent the equations of a system of linear inequalities is called a graph. The region of the coordinate plane where each of the inequalities holds can be seen by joining these lines to create a graph.
The inequality given are;
y > 4x + 1y ≥ x + 4This can be solved using a graphing calculator;
The point of intersection shows the solution to the graph
The solution to the linear inequalities (x, y) are (1, 5)
The broken lines in the graph is from the greater than inequality, while then straight unbroken lines is the inequality with greater than or equal to sign.
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A pet store has 15 puppies, 6 kittens, and 8 hamsters. Alice, Bob, and Charlie each want to buy a pet. For variety, they each want a different kind of pet. How many ways can Alice, Bob, and Charlie buy pets and leave the store satisfied
There are 24 ways for Alice, Bob, and Charlie to buy pets and leave the store satisfied. They could each buy a puppy, a kitten, and a hamster, or they could each buy a different combination of the three types of pets.
How many different pet options can Alice, Bob, and Charlie choose from before feeling satisfied?Alice, Bob, and Charlie can leave the pet store satisfied in 12 different ways.This can be shown using a combination equation, where n = the number of items (in this case, pets) and r = the number of selections (in this case, 3): C(n,r) = n! / (r! × (n - r)!). In this equation, n = 29 (15 puppies + 6 kittens + 8 hamsters) and r = 3 because Alice, Bob, and Charlie each have to select one pet.When plugging these numbers into the equation, the result is C(29,3) = 29! / (3! × (29 - 3)!) = 29! / (3! × 26!) = 8649 / 514880 = 12 different ways. Alice, Bob, and Charlie can each select a puppy, a kitten, and a hamster and leave the store satisfied in 12 different ways.Alice, Bob, and Charlie can buy pets and leave the store satisfied in 6 ways. Step 1: Alice can buy a puppy, Bob can buy a kitten, and Charlie can buy a hamster. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 2: Alice can buy a kitten, Bob can buy a hamster, and Charlie can buy a puppy. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 3: Alice can buy a hamster, Bob can buy a puppy, and Charlie can buy a kitten. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 4: Alice can buy a puppy, Bob can buy a hamster, and Charlie can buy a kitten. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 5: Alice can buy a kitten, Bob can buy a puppy, and Charlie can buy a hamster. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 6: Alice can buy a hamster, Bob can buy a kitten, and Charlie can buy a puppy. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. In sum, Alice, Bob, and Charlie can buy pets and leave the store satisfied in 6 ways. Each person can buy a different kind of pet and the store will still have the same number of pets afterwards.To learn more about the combination theory refer to:
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3. ) Copy Center charges $0. 08 a page for machine fed copies and $0. 20 per page for hand-fed copies. I lagan's
bill for 80 copies of his movie script is $13. 00, how many copies of each type were made?
The number of machine fed copies are 25 and the number of hand fed copies are 55. This is solved forming simultaneous equations.
What are simultaneous equations?
Two or more algebraic equations that share variables, such as x and y, are said to be simultaneous equations. Since the equations are solved simultaneously, they are known as simultaneous equations. These equations alone could have an infinite number of solutions.
Given cost per page of machine fed copies = $0.08
cost per page of hand fed copies = $0.20
Let,
number of machine fed copies = x
number of hand fed copies = y
Given the total number of copies = 80
So we can write the equation as
x + y = 80 ⇒ (1)
It is also given that the total cost of the movie script is $13
So we can the equation as
0.08x + 0.20y = 13 ⇒ (2)
Solving the simultaneous equations (1) and (2)
From (1),
x = 80 - y
Substituting the above in (2)
0.08(80 - y) + 0.20y = 13
0.12y = 6.6
y = 55
x = 80 - 55 = 25
Therefore the number of machine fed copies are 25 and the number of hand fed copies are 55.
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Q 9-1 Pythagorean Theorem and Trig
A girl is 20 ft. east of her school and her bike is 21 ft. south of the school. How far is she from her bike? Round to the nearest hundredth.
The distance between the girl and her bike is 25.00 ft.
What is distance?Distance is the measure of how far apart two objects, places, or points are. It can be measured in a variety of units, such as miles, kilometers, inches, centimeters, or other units.
The distance between the girl and her bike can be found using the Pythagorean Theorem. The Pythagorean Theorem states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse.
In this case, the girl is 20 ft. east of the school and 21 ft. south of the school. Therefore, the two sides of the triangle are 20 ft. and 21 ft. and the hypotenuse is the distance between the girl and her bike.
Using the Pythagorean Theorem, the hypotenuse is equal to the square root of (20^2 + 21^2) = 25.00 ft.
Therefore, the distance between the girl and her bike is 25.00 ft.
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Sarah competes in a long jump competition.
Her first jump is 4.25m
Her best jump is 12% more than this
However her best jump is 15% lower than the winning jump
Work out the length of the winning jump
Answer: 5.474 m
Step-by-step explanation:
first jump = 4.25
best jump = first jump * 1.12
winning jump = best jump *1.15
What does exponential growth look like on a logarithmic graph?
Exponential growth on a logarithmic graph looks like a straight line. On a regular graph, the line would appear to be curved, but when plotted on a logarithmic graph, the line appears to be a straight line.
Exponential growth on a logarithmic graph appears as a straight line. This is because the logarithmic scale is a compressed scale, meaning that it takes a large range of values and compresses them into a smaller range. This makes the data easier to read and understand. The straight line occurs because the logarithmic scale is designed to fit the data points more closely, making the line appear linear. This is in contrast to the regular scale, where the line appears curved due to the large range of values being plotted. Thus, exponential growth appears as a straight line on a logarithmic graph.
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Why parallel algorithm is better than a sequential algorithm?
The capacity to complete complex tasks quickly enough to make them useful is the main benefit of choosing a parallel algorithm over a sequential algorithm.
What is the differences between parallel algorithm and sequential algorithm?The differences between parallel algorithm and sequential algorithm are-
Sequential algorithm
One by one, each instruction is carried out in order. It only has one processor.Due to the single processor, it performs poorly and puts a heavy burden on the processor.The format utilized for data transport is bit-by-bit.The entire process takes longer to finish.Low priceParallel algorithm
Every command is carried out simultaneously.There are several processors in it.Due to the several processor, it performs very fast and puts no burden on the processor.Transfers of data occur in bytes.The entire process takes less time to finish.Price is expensive.Due to capacity to complete complex tasks quickly enough to make them useful is the main benefit of choosing a parallel algorithm over a sequential algorithm.
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The function f(x) = StartRoot negative x EndRoot is shown on the graph. Which statement is correct?
The statement that is correct about the behavior of the given graph is; D:
The range of the function is all real numbers greater than or equal to 0.
How to interpret function graphs?The graph of the function is as shown in attached diagram.
The function is;
y = √-x
1. The domain of the function is defined the set of all possible input values for x. Therefore, upon close inspection of the graph, we can say that the domain of this function is;
x ∈ (-∞, 0]
2. The range of the function is defined as the set all possible output values for y. By closely inspecting the attached graph, we can say that the range of this function is; y ∈ [0, -∞)
From the above, we can tell that the range of the function is all real numbers greater than or equal to 0.
Looking at the options, only option D can be said to be correct about the behavior of the given graph.
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The missing options are;
The domain of the function is all real numbers greater than 0.
The range of the function is all real numbers less than or equal to 0.
The domain of the function is all values less than 0.
The range of the function is all real numbers greater than or equal to 0.
Find the value of x.
Answer:
x = 32
Step-by-step explanation:
the sum of the exterior angles of a polygon is 360°
All the indicated angles in the diagram are exterior angles of the polygon.
sum the 5 exterior angles and equate to 360
2x + 71 + 85 + 44 + 3x = 360
5x + 200 = 360 ( subtract 200 from both sides )
5x = 160 ( divide both sides by 5 )
x = 32
Find the value of x in each parallelogram
Answer:
Step-by-step explanation:
a) x and 53 are adjacent angles of a parellelogram:
therefore, their sum will be 180 degrees
x + 53 = 180 --> x = 180 - 53 = 127 degrees
b) We know that opposite angles in a parallelogram are equal:
therefore, x = 113 degrees
c) Similarly, x = 80 degrees
d) x + 62 = 180
x = 180 - 62 = 118 degrees
5. Michael has of 3 boxes of a dozen doughnuts for his class of 30 students. Does
he have enough doughnuts for each student to get a whole doughnut? Why or
why not?
Yes Michael has 36 doughnuts 6 extra
3*12=36
36>30
3. Geese and Pigs: A farmer raises only geese and pigs. She wants to raise no more than
16 animals total including no more than 10 geese. She spends $5 to raise a goose and $15 to raise a pig, and has $180 available for this project. Find the maximum profit she can make if each goose produces a profit of $6 and each pig a profit of $20.
The maximum profit she can make if each goose produces a profit of $6 and each pig a profit of $20.
How can you determine the table's maximum profit?Making the Most of Total Revenue and Total Cost Data. Just multiply the price by the quantity at each quantity to find the company's total revenue. Next, deduct the company's total cost at each quantity, which is provided in the table.
Let the number of geese be x and the number of pigs be y
From the given information, we can form the following inequalities:
x ≤ 10
y ≥ 05
x + 15y ≤ 180
Maximize 6x + 20y.
We want to find the intersection points of the first three equations since x and y are bounded within the area under these
These points are (0,0), ( 10,0), (0,12), (10,65/3).
At (0,0) , the profit is $0
At ( 10,0), the profit is $60
At (0,12) , the profit is $240
At (10,65/3) , the profit is $499.33
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2-18. Frank wonders whether corresponding angles always have equal measure. For parts () through (d) below, use tracing paper to decide if corresponding angles have the same measure. Then determine if you have enough information to find the measures of x and y. If you do, find the angle measures and state the relationship .
The angles and their relationships are -
a) ∠x = 135° (corresponding angles), ∠y = 135° (vertical angles)
b) ∠y = 45° (liner pair angles), ∠x (not enough information provided)
c) ∠x = 135° (corresponding angles), ∠y = 45° (liner pair angles)
d) ∠x = 45° (liner pair angles), ∠y (not enough information provided)
What is angle pair relationship?
In Geometry, there are five fundamental angle pair relationships:
Complementary Angles
Supplementary Angles
Adjacent Angles
Linear Pair
Vertical Angles
a) In the first diagram -
∠x = ∠a as they are both corresponding angles to each other.
So, ∠x = 135°.
Similarly, ∠y = ∠x as they both are vertically opposite angles to each other.
So, ∠y = 135°.
b) In the second diagram -
∠y + ∠a =180° as they are both form a linear pair of angles.
So, ∠y = 180° - ∠a
∠y = 180° - 135°
∠y = 45°.
Now, ∠x cannot be deduced and no proper information is given in the image.
c) In the third diagram -
∠x = ∠a as they are both corresponding angles to each other.
So, ∠x = 135°.
Now, ∠y + ∠x =180° as they are both form a linear pair of angles.
So, ∠y = 180° - ∠x
∠y = 180° - 135°
∠y = 45°.
d) In the fourth diagram -
∠x + ∠a =180° as they are both form a linear pair of angles.
So, ∠x = 180° - ∠a
∠x = 180° - 135°
∠x = 45°.
Now, ∠x cannot be deduced and no proper information is given in the image.
Therefore, all the angles are and their relationships are found.
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Calculate $0^5 + (-1)^4$.
The equation 0⁵ + (-1)⁴ involving exponents is solved to get
1
What are exponents in math?The way of representing huge numbers in terms of powers is known as an exponent.
Exponent, then, is the number of times a number has been multiplied by itself. exponents are also referred to as raise to power
When a zero is raised to the power of any number will yield zero zero, this is because when zero keep multiplying itself zeo will be the resulat repeated times
hence for the equation 0⁵ + (-1)⁴ the part that has zero will give zero remaking the part with a negative number
= 0⁵ + (-1)⁴
= (-1)⁴
= -1 * -1 * -1 * -1
= 1 * 1
= 1
hence the answer is 1
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For each condition, make up a different equation for a quadratic function that meets the condition. Use whatever form is most conventions.
1. Has vertex at (-2,-5)
2. Has a y-intercept at (0,6)
3. Goes through the points (4,2) and (1,2)
y=−12(x+4)(x−1) A quadratic function that satisfies the requirement and passes through the points (4, 2) and has the equation +2 (1,2) .
what is equation ?A mathematical formula known as an equation combines two assertions using the equal sign (=) to denote equivalence. The terms 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14, for example. Mathematical equations are used to express the relationship between two phrases on either side of a letter. In most cases, the symbol serves as the sole variable. a good example is 2x - 4 = 2.
given
a )a vertex at (−2,−5) :
y=[tex](x+2)^{2}[/tex]−5
y=−[tex](x+2)^{2}[/tex]−5
y=3[tex](x+2)^{2}[/tex]−5
b) a y-intercept of (0,−6) :
y=[tex]x^{2}[/tex]−6
y=[tex]x^{2}[/tex]+13x−6
y=2[tex]x^{2}[/tex]−6
c) the points (−4,2) and (1,2):
y=(x+4)(x−1)+2
y=2(x+4)(x−1)+2
y=−12(x+4)(x−1)+2
y=−12(x+4)(x−1) A quadratic function that satisfies the requirement and passes through the points (4, 2) and has the equation +2 (1,2).
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consider the relation below
1.Is the relation A function
2. Is the relation a one to one function
3. Is the inverse of the relation below itself a function
Answers:
Yes it's a function.No, the function is not one-to-one.No, the inverse isn't a function.=============================================
Explanation:
We have a function since the curve passes the vertical line test. Recall that this test is where we try to draw a single vertical line through more than on point on the curve. Such a task isn't possible in this case.
-----------
On the other hand, the curve does not pass the horizontal line test. It is possible to draw a single horizontal line through more than one point on the curve.
This function is not one-to-one since it does not pass the horizontal line test.
------------
Because the graph isn't one-to-one, the inverse won't be a function. The process of finding the inverse involves swapping x and y; which means we swap from "horizontal line test" to "vertical line test".
The original function failing the horizontal line test would mean the inverse fails the vertical line test.
HELP I DONT UNDERSTAND
The of the function a remainderre 3, 2,1,0
What is substitution?You should understand that substitution means replacing figures in a variable to get a value
the given function is
y=-x/3 +2
The given parameter or table to be completed is
x -6 -3 0 3 6
y 4 3 2 1 0
The table above was completed in the following ways
1) y= 6/3 +2 = 2+2 4
2) y = 3/3 + 2 = 1+2 = 3
3) 0/2 + 2 = 2
4) -3/3 +2 = -1+2 = 1
5) y = -6/3+2 = -2+2 = 0
Therefore the table has values descending from 4 to 0
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Select all the pairs of operations that have inverse relationships.
The pair of operations having an inverse relationship are,
Addition and Subtraction, Division and Multiplication.
What are additive and multiplicative inverses?A number's additive inverse is a number that is added to it until the result is zero.
A number multiplied by another such that the result is 1 is the multiplicative inverse of that number.
Addition and subtraction are inverse operations of each other.
Suppose we have 5 and we add 3 to it we get 8.
Now, Subtracting 3 from 8 would result in 5.
Multiplication and division are inverse operations of each other.
Suppose we have 10 and we multiply 2 to it we get 20, Now if we divide 20 by 2 we get back 10 again.
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