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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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
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
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
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
help fast pls .. Fill in the blanks to complete the table. (10 pts: 0.5 pt for each blank)
Is there a word bank or anything.
I can't be sure so I just did what I could.
this is old work i forget how to do it
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
rob wants to buy a piglet that normally cost $200 it is on sale for currently $58 . what is the percentage discount
Answer:
71%
Step-by-step explanation:
Firstly, 200 - 58 = 142
Next, 142 / 200 = 0.71
0.71 x 100 = 71%
A water jug weighs 5 kilograms. What is the volume of the water in the jug?
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
What is the area of the figure?
No links, those are obvious scams.
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!!!!!!!!!
Answer:
hey i think it is -2,-6
Step-by-step explanation:
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?
Find the perimeter of the object
Help
Answer:
20
Step-by-step explanation:
The sum of -9 and 18/2
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.
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.
Answer: x < 5
Step-by-step explanation: 4x + 40 < 60
Find the circumference of the circle below. Use 3.14
Answer:
b
Step-by-step explanation:
C=2πr=2·π·22 =138.16cm
Hey math can you help
Lacey set a goal to walk a mile each day. How many steps does she need to take each day to walk one mile?
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
124−−−√? to the nearest number
Answer:
11
124√= 11.135
I rounded it to the nearest number, 11
plz mark me as brainliest.
Which of the following is a trinomial with a constant term ?
Answer:
A
Step-by-step explanation:
just took the test
3. Determine the lateral and total surface
area of the pyramid.
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?
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%
Please Help With Math Questions, I keep getting people with wrong answers answering. SO please oh please help me if you know the answers
Answer:
which question that you want
Urgent help needed
please solve any one of these
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]
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
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PLEASE HELP ME! i need right answers tho -_- please
8/10 .................................................
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?
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
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
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.
find the missing angles
m∠E=
m∠F=
Answer:
41⁰
Step-by-step explanation:
180 - 98 = 82⁰
2x = 82⁰
x = 82/2
= 41⁰
Mhanifa can you please help? I need this done asap and i will mark brainliest!
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 = 540Sum of interior angles of a given pentagon:
72 + 3x + 89 + 99 + 2x = 5405x + 260 = 5405x = 280x = 280/5x = 56
Can someone help with 6,7,8,9?
Answer:
What are the 4 questions, because the file does not work?
Step-by-step explanation:
Fill in the table using this function rule.
y = -5x+1
Fill out the y values
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.
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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