What is a multiplicity example?

Answers

Answer 1

A multiplicity example in mathematics is when a function has multiple solutions to a given equation.

For example, when solving the equation x2 + 4x + 3 = 0, there are two solutions, x = -3 and x = -1. This means that the equation has a multiplicity of two. This can be seen in the graph of the equation, which has two points of intersection on the x-axis.

The multiplicity is a measure of how many solutions a given equation has. It can be determined by using the discriminant, which is the difference between the square of the coefficient of the highest degree term, and four times the product of the coefficients of the lower degree terms, and the constant. In the example above, the discriminant is 16 - 12, which is 4. The multiplicity of the equation is determined by the sign of the discriminant: if it is positive, the equation has two solutions; if it is zero, the equation has one solution; and if it is negative, the equation has no solutions.

The multiplicity of an equation can also be used to determine the nature of the graph of the equation. If the equation has a multiplicity of two, the graph is a parabola, which is a curved line that has two points of intersection on the x-axis. If the equation has a multiplicity of one, the graph is a line, which has only one point of intersection on the x-axis. If the equation has a multiplicity of zero, the graph is a circle, which has no points of intersection on the x-axis.

The concept of multiplicity is important in mathematics, as it can be used to determine the number of solutions an equation may have, as well as the nature of the graph of the equation. Knowing the multiplicity of an equation can help to simplify the process of solving the equation.

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Related Questions

124−−−√? to the nearest number

Answers

Answer:

11

124√= 11.135

I rounded it to the nearest number, 11

plz mark me as brainliest.

Fill in the table using this function rule.
y = -5x+1
Fill out the y values

Answers

a) -5(-1)+1
y=6
b) -5(0)+1
y=1
c)-5(1)+1
y=-4
d)-5(2)+1
y=-9

Please Help With Math Questions, I keep getting people with wrong answers answering. SO please oh please help me if you know the answers

Answers

Answer:

which question that you want

A tourist attraction experienced a 3.75% fall in visitor numbers in June, compared to the previous month due to bad weather There were 121660 visitors in June How many visitors were there in May? B) In July there were 4.5% more visitors than in May What was the percentage increase in visitor numbers from June to July?

Answers

Answer:

(A) 126400

(B) 8.57%

Step-by-step explanation:

(A) According to the scenario, calculation of the given data are as follows,

Visitors in June = 121660

Let visitors in May = X

Difference in visitors number in June = 3.75% decrease

So, we can calculate the visitors number in may by using following formula,

Number of visitors in June = X - 3.75%X

121660 = 96.25%X

X = (121660 × 100) ÷ 96.25

X = 126400

Hence, Number of visitors in may = 126400

(B). Difference in visitors in July than in May = 4.5% increase

So, Number of visitors in July = 126400 + (126400 × 4.5%)

= 126400 + 5688

= 132088

Now, we will calculate increase in percentage by using following formula,

Increase percentage = (132088 - 121660)  ÷ 121660

= 10428 ÷ 121660

= 0.0857 or 8.57%

Can someone help with 6,7,8,9?

Answers

Answer:

What are the 4 questions, because the file does not work?

Step-by-step explanation:

Under her cell phone plan, Lily pays a flat cost of $40 per month and $4 per
gigabyte. She wants to keep her bill under $60 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Lily
can use while staying within her budget.

Answers

Answer: x < 5

Step-by-step explanation: 4x + 40 < 60

Find the circumference of the circle below. Use 3.14

Answers

Answer:

b

Step-by-step explanation:

C=2πr=2·π·22 =138.16cm

The sum of -9 and 18/2

Answers

Answer:

0

Step-by-step explanation:

Sum means addition so:

-9 + 18/2

(18/2 = 9)

-9 + 9

0

Answer: 0

Step-by-step explanation: The answer I got was 0. I'm assuming that 18/2 is 18 divided by 2. 18 divided by 2 is 9 and if you add a positive and a negative its like subtracting. 9-9=0 so the answer is 0.

this is old work i forget how to do it

Answers

Answer:

1.101, 1.001, and 0.113

Step-by-step explanation:

the first on is the highest

plz leave a like and brainlest!! i need 10 to ask a quistion!!!

Answer:

               Tenths place is a zero

               ↓

0.113       1.001        1.101

One's place is a zero

Which of the following is a trinomial with a constant term ?

Answers

It’s A because a trinomios has three terms and the last digit 12 doesn’t change unlike 2y which changes with every input of y.

Answer:

A

Step-by-step explanation:

just took the test

Urgent help needed
please solve any one of these

Answers

28. D
40. 1/4
I’m not sure about the rest

Mhanifa can you please help? I need this done asap and i will mark brainliest!

Answers

Answer:

#4

Exterior angles of a polygon sum to 360

94 + 56 + 4.5x + x + 1.5x = 360150 + 7x = 3607x = 210x = 30

#5

Sum of interior angles of a pentagon is:

(5 - 2)*180 = 540

Sum of interior angles of a given pentagon:

72 + 3x + 89 + 99 + 2x = 5405x + 260 = 5405x = 280x = 280/5x = 56

A pretzel maker was interested in knowing the number of pretzels in each bag is sold. The results of the research are shown in the box and whisker plot. What is the range in the number of pretzels? Please help

Answers

Answer:

23 pretzels

Step-by-step explanation:

The range value is obtained by taken the difference between the maximum and minimum values ;

The range = maximum - minimum

From the box and whisker plot attached ; the maximum value = 68

Minimum value = 45

Hence, the range in the number of pretzels :

68 - 45 = 23

Answer:

22

Step-by-step explanation:

Subtract the minimum (44) and the maximum (66) the answer to this question is 22

sam has eight shells and thandeka has 12 shells .what is the ratio ,in simplest form ,of Sam's shells to thandeka's shells?
[tex]576 \div 12 \\ \ \: = [/tex]

Answers

Answer:

I think that's the answer

Ratios are used to re;ate quantities of different measurements

The ratio of Sam's shells to thandeka's shells is 2:3

The quantity is given as:

Sam = 8 shells

Thandeka = 12 shells

To represent the given parameters as ratio, we have:

Ratio = Sam : Thandeka

So, we have:

Ratio = 8 : 12

Divide by 4

Ratio = 2 : 3

Hence, the ratio of Sam's shells to thandeka's shells is 2:3

Read more about ratios at:

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find the missing angles
m∠E=

m∠F=

Answers

Answer:

41⁰

Step-by-step explanation:

180 - 98 = 82⁰

2x = 82⁰

x = 82/2

= 41⁰

Solve for the variable in the following equation: 1 / 6c + 1 / 3 = - 2
A. c = −30

B. c = 26

C. c = −14

D. c = 12

Answers

Answer: C. C=-14

Step-by-step explanation:

Given

(1/6)c+1/3=-2

Multiply both sides by the LCM of 1/6 and 1/3(Least Common Multiple)

6[(1/6)c+1/3]=(-2)(6)

c+2=-12

Subtract 2 on both sides

c+2-2=-12-2

c=-14

Hope this helps!! :)

Please let me know if you have any questions

Answer:

C. c = −14

Step-by-step explanation:

Combine multiplied terms into a single fraction

[tex]\frac{1}{6} c+\frac{1}{3} = - 2[/tex]

[tex]\frac{1c}{6} +\frac{1}{3} =-2[/tex]

Multiply by 1

[tex]\frac{1c}{6} +\frac{1}{3} =-2[/tex]

[tex]\frac{c}{6} +\frac{1}{3} =-2[/tex]

Subtract [tex]\frac{1}{3}[/tex] from both sides of the equation

[tex]\frac{c}{6} +\frac{1}{3} =-2[/tex]

[tex]\frac{c}{6} +\frac{1}{3} -\frac{1}{3} =-2-\frac{1}{3}[/tex]

Subtract the numbers

[tex]\frac{c}{6} +\frac{1}{3} -\frac{1}{3} =-2-\frac{1}{3}[/tex]

[tex]\frac{c}{6} =-2-\frac{1}{3}[/tex]

Subtract the numbers

[tex]\frac{c}{6} =-2-\frac{1}{3}[/tex]

[tex]\frac{c}{6} =-\frac{7}{3}[/tex]

Multiply all terms by the same value to eliminate fraction denominators

[tex]\frac{c}{6} =-\frac{7}{3}[/tex]

[tex]c \frac{c}{6} =6(-\frac{7}{3} )[/tex]

Cancel multiplied terms that are in the denominator

[tex]c \frac{c}{6} =6(-\frac{7}{3} )[/tex]

c = 6 [tex](-\frac{7}{3} )[/tex]

Multiply the numbers

c = 6 [tex](-\frac{7}{3} )[/tex]

c = - 14

If point P, located at (6, -2), is rotated 270
counterclockwise about the origin, what
are the coordinates of its image, P'?
A. (6,2)
B. (2,6)
C. (-2,-6)
D. (-2,6)
Help!!!!!!!!!

Answers

Answer:

hey i think it is -2,-6

Step-by-step explanation:

PLEASE HELP ME! i need right answers tho -_- please

Answers

8/10 .................................................

What is the area of the figure?
No links, those are obvious scams.

Answers

Area of shape is 24 cm^2

Hey math can you help

Answers

So if we’re talking about meters per second, you would need to divide.

-17.5/5 = -3.5

NOW YOU THINK THATS YOUR ANSWER BUT NOO. You CANNOT have a negative second. So you take the absolute value of -3.5 and your answer would be 3.5

The rate of the anchor is 3.5 meters per second.

A water jug weighs 5 kilograms. What is the volume of the water in the jug?

Answers

Answer:

IF the jug is full and IF the 5 kg does not include the jug, then:

5 kg of water = 1.32 gallons

If you want it in metric form: 5 kg = 5 liters

Step-by-step explanation:

one gallon = 3.785 kg

5 kg/3.785 kg per gal = 1.32 gallons

in metric form:

1 kg of water = 1 liter, so:

5 kg = 5 liters

Answer: I'm just answering so that other guy can get brainist

Step-by-step explanation: But here is a meme

Appeasement is the policy of making concessions in order to avoid a conflict. In the 1930’s it became the dominant French and British international policy toward Germany and other aggressive nations. The League of Nations had been created to peacefully resolve international disputes. However, without the United States as a member of any military force, it was ineffective at preventing belligerent nations from violating agreements.
When Italy invaded Ethiopia and Japan invaded Manchuria and China, the League could do nothing but impose economic sanctions. Adolf Hitler realized that democracies sought to avoid a confrontation and continued to test their limits. First, he remilitarized the Rhineland then turned his sights on a region of German speakers in Czechoslovakia known as the Sudetenland.
In September 1938, British Prime Minister Neville Chamberlain met with Hitler in Munich to discuss his demands. The Sudetenland held most of Czechoslovakia’s border defenses, heavy industries, and banks. Without consulting Czech authorities, however, Chamberlain pledged to give Germany all the areas with a German population of more than 50%. France was persuaded to agree. Hitler then demanded all the Sudetenland and Britain and France agreed to his demands. Chamberlain returned to Great Britain claiming he had secured “peace for our time.”
Appeasement was not without its critics, however. Winston Churchill believed in a firm stand against Nazi Germany. When Germany seized the remainder of Czechoslovakia in March 1939, it was clear that appeasement had failed. Chamberlain resigned and Churchill became the new Prime Minister of Great Britain.
---------------------------------------
“When I think of those four terrible years and I think of the 7million young men who were killed, the 13 million who were maimed and mutilated… I have said before, and what I say now to all the world – in war, whichever side may call itself the victor, there are no winners, but all are losers. It is those thoughts which have made me feel that it was my prime duty to strain every nerve to avoid a repetition of the Great War in Europe.”
― Neville Chamberlain
---------------------------------------
“An appeaser is one who feeds a crocodile, hoping it will eat him last.”
― Winston S. Churchill


Directions: After reading about appeasement, answer the following questions.
1. What is the best definition for “belligerent” as it is used in the 1st paragraph? Highlight your answer
a. Weak
b. Hostile
c. Peaceful
d. Isolationist
2. What made the League of Nations ineffective?



3. What was Neville Chamberlain’s justification for his policy of appeasement?



4. Based on the Munich Agreement and resulting events, what adjective most likely describes Hitler’s view of Chamberlain? Highlight your answer
a. Intimidating
b. Wise
c. Gullible
d. Bold
5. Do you think Churchill’s quote accurately describes the relationship between Hitler and Chamberlain? Explain why or why not.



6. Think of a time you made a concession in order to avoid a conflict. Explain what the conflict was and why you gave in. How would the outcome be different if you had not given in?




Answers

The answer to the question is c

Use the Order of Operations to evaluate this expression
(-2+1square2) +5 (12/3) -9
Type the correct answer in the box. Use numerals instead of words.

Answers

(-2+1^2)+5(12/3)-9
(1)+5(4)-9
1+20-9
21-9
12

The answer when simplified gives the expression as 11.

What is the BODMAS rule?

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here the expression as -2+1²×2+5×12/3 -9=0+4×5-11

                                                                                = 11

Hence, The answer when simplified gives the expression as 11.

                                                       

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Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.

Complete the following. Show all work for calculations.

List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of
1
10
?

ill give 40 points and brainlysest please i really need this please

Answers

Answer:

541/2 square in I hope this helps

Step-by-step explanation:

i hope this helps if it does can i get brainlists

Answer:

Rectangular prism

I chose a box of cereal.

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 20 cm

Width: 8 cm

Height: 32 cm

Part 2).

 Describe the shape of the cross-section when the box is cut parallel to the base.

The shape of the cross-section would be a rectangle in dimensions.

20 cm x 8 cm

Part 3)

What is the surface area of the box? 

surface area=2*area of the base + perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm

height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is

2,112 cm²

Part 4)

What is the surface area of the box if it is scaled up by a factor of 10?

we know that

surface area of the larger box =[scale factor]²*surface area original box

scale factor=10

surface area original box=2,112 cm²

so

surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is

211,200 cm²

Part 5) 

What is the volume of the box?

volume of the box = L*W*H 20*8*32-5,120 cm³

the answer Part 5) is

5,120 cm³

Part 6) 

What is the volume of the box if it is scaled down by a factor of 1/10?

we know that

the volume of the smaller box =[scale factor]³volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box =[1/10]³*5,120 5.12 cm³

the answer part 6) is

5.12 cm³

The length is 6 in., the width is 2 in., and the height is 16 in.

Jon is buying gas for his car. The cost of gas varies directly with the number of gallons of gas. If
he pays $8.75 for 5 gallons of gas, how much would it cost for 32 gallons?

Answers

Answer:

56 gallons of gas

Step-by-step explanation:

Jon paid $8.75 for 5 gallons.

So how much does 1 gallon cost?

=> 5 gallons = $8.75

=> 5/5 gallons = $8.75/5

=> 1 gallon = $1.75

So how much does 32 gallons cost?

=> 32 gallons = 32 * 1.75 = $56

Lacey set a goal to walk a mile each day. How many steps does she need to take each day to walk one mile?

Answers

Answer:

Step-by-step explanation:

1 mile = 2000 steps

An average person has a stride length of approximately 2.1 to 2.5 feet. That means that it takes over 2,000 steps to walk one mile

Find the perimeter of the object

Help

Answers

Answer:

20

Step-by-step explanation:


3. Determine the lateral and total surface
area of the pyramid.

Answers

I think it’s is 12865

rob wants to buy a piglet that normally cost $200 it is on sale for currently $58 . what is the percentage discount

Answers

Answer:

71%

Step-by-step explanation:

Firstly, 200 - 58 = 142

Next, 142 / 200 = 0.71

0.71 x 100 = 71%

help fast pls .. Fill in the blanks to complete the table. (10 pts: 0.5 pt for each blank)

Answers

Is there a word bank or anything.

I can't be sure so I just did what I could.

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