Write a polynomial with zeros 0,-3, and 2 with multiplicities 2,1, and 2, respectively. What is its degree?

Answers

Answer 1

Polynomial is an expression that consists of indeterminates(variable) and coefficients. The degree of the polynomial will be 5.

What are polynomials?

Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The polynomial with zeros 0,-3, and 2 with multiplicities 2,1, and 2, respectively, can be written as,

[tex](x-0)^2(x+3)^1(x-2)^2\\\\= x^2(x+3)(x^2+4-4x)\\\\=(x^3+3x^2)(x^2+4-4x)\\\\=x^5 +4x^3-4x^4+3x^4+12x^2-12x^3\\\\=x^5 -x^4-8x^3+12x^2\\[/tex]

Hence, the degree of the polynomial will be 5.

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Related Questions

If csc a = -5square root 6 /12 and cos a >0, find cot a

Answers

The measure of cot(a) given that csc(a) = -5√6/12 is -1/4√61.5

Trigonometry identity

Given the following trigonometry function as shown below:

csc(a) = -5√6/12

Since csc(a) = 1/sin(a)

sin(a) = -12/5√6
sin(a) = -12√6/30 = -4√6/15 = opp/hyp

Determine the measure of cos(a)

adj^2 = (-4√6)^2+15^2
adj^2 = 144+225
adj = √369

cot(a) = cos(a)/sin(a)

cot(a) = √369/15 * 15/ -4√6
cot(a) = -1/4√61.5

Hence the measure of cot(a) given that csc(a) = -5√6/12 is -1/4√61.5

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Evaluate
A)–16
B)–4
C)16
D)[tex]-\frac{1}{32}[/tex]

Answers

Answer:

Answer is {C}

Step-by-step explanation:

If the labor force is 740 workers, but 27
are unemployed, what is the
unemployment percentage?
A. .36%
B. 3.6%
C. 36%
D. 360%

Answers

Answer:

3.6% or B quack quack quack quack

The unemployment percentage is 3.6 percent. Therefore, option B is the correct answer.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, the labor force is 740 workers, but 27 are unemployed.

Here, percentage = 27/740 ×100

= 2700/740

= 3.6%

Therefore, option B is the correct answer.

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Tickets for a carnival cost $8 for children and $12 for adults. The carnival sold a total of 233 tickets and collected $2,156. How many children’s tickets were sold?

A.
180

B.
160

C.
73

D.
108

Answers

D I took the test last week

A sector of a circle has a central angle of 45 ∘ . Find the area of the sector if the radius of the circle is 18 cm. cm2

Answers

Answer:

1,090

Step-by-step explanation:

I need help ASAP or im going to fail

Answers

45? Three non student tickets plus parking so 12*3 +9

Answer:

45

Step-by-step explanation:

Since it given that her parent and grandmother attend a soccer game. Thus, we can see that there is no students.

Also given that:

Student tickets: $6

Non-Student tickets : $12

Parking : $9

Thus,

Non- Student tickets:$ 12 (Parents and grandmother are not students)

Parking: $9 ( Since they attend a soccer game they need somewhere to park)

Parents = 2 person (Mom and Dad)

Grandmother = 1 person

1 + 2 = 3

Now,

Since Non-student tickets = $12

3 * 12 +9

36 + 9

45

Hence, the family spend $45 to attend the game.

~lenvy~

Jacob wants to determine the principal amount still owed on his mortgage loan. He knows that the interest portion of his last monthly payment was $391.42. If he is paying interest at the rate of 11½%, what was the outstanding balance of the loan before that last payment was made?

Answers

If the interest rate is 11½%. The outstanding balance of the loan before that last payment was made is:$40,843.83.

Loan Oustanding balance

First step is to find the annual interest

Annual interest= $391.42 x 12

Annual interest= $4,697.04

Second step is to calculate the outstanding balance

Outstanding balance=Annual interest/Interest rate

Oustanding balance= $4,697.04/ 11½%,

Outstanding balance =$40,843.826

Outsatnding balance= $40,843.83 (Approximately)

Therefore the outstanding balance of the loan before that last payment was made is:$40,843.83.

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Solve the system of equations.​
−4x+3y=−2
y=x−1​

Answers

(-1,-2)

x= -1

y= -2

Have a wonderful day :)

Hope this helps ....... :))))

help me pleaseeeeeeee​

Answers

Answer:

x = 25

Step-by-step explanation:

This is just algebra involved with geometry!


Your objective is to solve for x.

The line dividing the 2x-5 and x+20 is the bisector

A bisector means the two angles have to be equal!

Your objective is to solve for x.

The line dividing the 2x-5 and x+20 is the bisector

A bisector means the two angles have to be equal!

2x-5=x+20 should be the equation!

Subtract x from both sides

x-5=20

Now add 5 to both sides

x=20+5

x=25

Now you need to plug the answers in!

50-5 for 2x-5

25+20 for x+20

45+45 = 90      

I don't really know about the 125 but if that was excluded then this is it ^^^

The value of x is,

⇒ x = 33.3°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

The value of total angle is, 125°

Hence, By definition of angles we get;

⇒ (2x - 5) + (x + 20) = 125°

⇒ 3x + 15 = 125°

⇒ 3x = 125 - 15

⇒ 3x = 110

⇒ x = 33.3°

Thus, The value of x is,

⇒ x = 33.3°

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CAN SOMEBODY SOLVE EQUATION IM LOST

Answers

Answer:

2

- x  -1

3  

Step-by-step explanation:

What is the equivalent expression for 24x - 40y ?

Answers

Answer:

See answer and step-by-step attachment.

Step-by-step explanation:

See attachment.

SOLVE THE EQUATION AND EXPLAIN YOUR ANSWER

Answers

Answer:

$38.1 billion

Step-by-step explanation:

S - 1.5x = 5.1

x = 2020 - 1998

x = 22 years

S - 1.5(22) = 5.1

S = 5.1 + 33

S = 38.1

I hope this helps!

Answer:

38.1 billion dollars.

Step-by-step explanation:

2020 - 1998 = 22 years, so

S  - 1.5(22) = 5.1

S = 5.1 + 1.5(22)

S = 5.1 + 33

= 38.1.

Solve the equation.

y + 6 = –3y + 26

y = –8
y = –5
y = 5
y = 8

Answers

Answer:

y = 5

Step-by-step explanation:

y + 6 = –3y + 26

y + 3y + 6 = 26

4y + 6 = 26

4y = 26 - 6

4y = 20

y = 5

I hope this helps!

Write the standard equation of the circle with the center ​(-14​,-5​) that passes through the point ​(​-7,​5).

Answers

equation: (x + 14)² + (y + 5)² = 149

Given:

centre :  ​(-14​,-5​)point ​(​-7,​5)

=============

Formula's:

(x-h)² + (y-k)² = r²centre : (h, k)radius : rdistance between points : [tex]\sf \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Find the radius:

[tex]\rightarrow \sf \sqrt{(-7-(-14))^2 + (5-(-5))^2}[/tex]

[tex]\sf \rightarrow \sqrt{\left(-7+14\right)^2+\left(5+5\right)^2}[/tex]

[tex]\sf \rightarrow \sqrt{149}[/tex]

Equation of circle:

(x-h)² + (y-k)² = r²(x-(-14))² + (y-(-5))² = (√149)²(x + 14)² + (y + 5)² = 149

Graph for clarification:

Answer:

[tex]\sf (x+14)^2+(y+5)^2=149[/tex]

Step-by-step explanation:

Standard equation of a circle:  [tex]\sf (x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

[tex]\sf \implies (x-(-14))^2+(y-(-5))^2=r^2[/tex]

[tex]\sf \implies (x+14)^2+(y+5)^2=r^2[/tex]

Now substitute the point (-7, 5) into the equation to find r²:

[tex]\sf \implies ((-7)+14)^2+(5+5)^2=r^2[/tex]

[tex]\sf \implies (7)^2+(10)^2=r^2[/tex]

[tex]\sf \implies 149=r^2[/tex]

Final equation:

[tex]\sf (x+14)^2+(y+5)^2=149[/tex]

Scott has 2 six-sided dice. What is the probability that the sum of the roll is one?

Answers

Answer: 0, it’s not possible to roll 2 dice with the sum ending up being one.

Part 2 of 2 Points: 0 of 1 Save Some states now allow online gambling. As a marketing manager for a casino, you need to determine the percentage of adults in those states who gamble online. How many adult must you survey in order to be 95% confident that your estimate Is In error by no more than two percentage points? Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of adults who gamble online. n = 2401 (Round up to the nearest Integer) b. Assume that 18% of all adults gamble online, n = (Round up to the nearest Integer.)​

Answers

The sample size for part (a) is 2401, and the sample size for part (b) is 1417 if the margin of error is no more than two percentage points and use a confidence level of 95%

What is the margin of error(MOE)?

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

[tex]\rm MOE= Z{score}\times \frac{s}{\sqrt{n} }[/tex]

Where  Z_{score} is the z score at the confidence interval

             s is the standard deviation

             n is the number of samples.

We have:

MOE = 2% = 0.02 and

α = 1-0.95 = 0.05

Let's assume the value of p = 0.5, and q = 0.5

From the table:

Z_(0.05/2) = Z_(0.025) = 1.96

[tex]\rm n = 0.5\times0.5\frac{1.96^2}{0.02^2}[/tex]

n = 2401

For part (b):

p = 18% = 0.18, and q = 0.82

[tex]\rm n = 0.18\times0.82\frac{1.96^2}{0.02^2}[/tex]

n = 1417.5 = 1417

Thus, the sample size for part (a) is 2401, and the sample size for part (b) is 1417 if the margin of error is no more than two percentage points and use a confidence level of 95%

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I NEED HALP PWEASE AND PWEASE DONT IGNORE ME EVERONE DOES THAT WHEN I PUT A QUESTION UP IM GIVING BRAINLYS OUT

Answers

Answer:

The order goes:

B

A

D

C

Step-by-step explanation:

Based on the clues joe has the least so he would be B

Terrell has the most so his would be A

Jimmy has half so he would be D

and Justin is C last option

Answer:

Clue 1:  1,4 = B

Clue 2: 1,6 = A

Clue 3: 2,4 = C

Clue 4 : 4,5 = D

The equation x2 + 4y2 = 36 represents which conic section?

ellipse

circle

hyperbola

parabola

Answers

Answer: The answer is ellipse

Prove. An odd number cubed is an
odd number.


Answers

any odd number multiplied by any other odd number is still odd, so cubing or squaring an odd number will keep it odd.

Answer:

If you're looking for the equation, it's:

[tex](2n+1)^3=8n^3+12n^2+6n+1=2(4n^3+6n^2+3n)+2=[/tex] an odd

I know because I got it right on acellus.

At what interest rate must $112,000 be invested so that it will be worth $392,000 in 14 years?

Answers

Answer:

25%

Step-by-step explanation:

Simple interest= PRT/100

392,000=112,000*R*14/100

392,000=1120*14*R

392,000=15,680R

R= 392,000/15,680

R= 25%

Find the area

(Please)

Give explanation

Answers

Answer:

960 cm²

Step-by-step explanation:

Area of trapezoid: (a + b)(h)/2

A = (20 + 40)(32)/2

A = 60(32)/2

A = 1920/2

A = 960 cm²

BRANLIEST please if this helps!


1 Camille has 26 pieces of ribbon for making cards.
She needs 4 pieces of ribbon for each card.
How many cards can Camille make? How many
pieces of ribbon will be left over?

Answers

Answer:

Camille can make 6 cards and will have 2 ribbons left

Step-by-step explanation:

From the top of a lighthouse 170 feet high, the angle of depression of a boat out at sea is 24°. Find, to the nearest foot, the distance from the boat to the foot of the lighthouse. (The foot of the lighthouse is at sea level.)

Answers

Check the picture below.

i kneed help

Which of the following is an example of symbolism in a political communication?

A campaign ad that uses the American flag to show the candidate is patriotic
A website that explains where candidates stand on the issues of their party's platform
A news channel that actively advocates for a particular candidate
A radio program where local politicians are interviewed about important local issues

Answers

Answer:

Here :D

Step-by-step explanation:

The option that is an example of symbolism in a political communication is; A radio program where local politicians are interviewed about important local issues.

What is Symbolism in Communication?

In symbolism in communication, we are trying to use a means or medium to pass across a message to an audience consciously or unconsciously.

Now, for political communication, the politicians are trying to talk about important issues with respect to the elections. Thus, from the given options, the only one that is an example of symbolism in a political communication is A radio program where local politicians are interviewed about important local issues.

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please help me statistic and probability​

Answers

Answer:

Probability of 15 = 3/10

Probability of 14 = 2/10

Probability of 10 = 2/10

Probability of 12 = 1/10

Probability of 20 = 1/10

Probability of 25 = 1/10

Step-by-step explanation:

→ Find how many numbers there are

2 14's, 3 15's, 2 10's, 1 12, 1 20 and 1 25 ⇒ The x value row will be 14, 15 ,10 ,12, 20 and 25

→ Now divide each front number by the total

Probability of 15 = 3/10

Probability of 14 = 2/10

Probability of 10 = 2/10

Probability of 12 = 1/10

Probability of 20 = 1/10

Probability of 25 = 1/10

Which circle will have the largest radius?
O OAC = 16 cm
OOD.r=20 cm
OOC.r= 21 cm
O OB. C = 18 cm

Answers

Answer:

c-21cm

Step-by-step explanation:

21 is the biggest one(unless the options are the diameters..it wouldstill be option c though)

what is the volume of this now I don't really get it

Answers

Answer:

12

Step-by-step explanation:

Answer:

24 cubic units

Step-by-step explanation:

Count the front layer by fours because there are 3 rows of 4 and 3 rows of 4 on the other side.So count by 4's on the front layer then the back layer.

Just answer

1 + 23 =
i give you 100 pts
I quit

Answers

hmm a tough one ima go with 24

I think 24. Not rlly sure tho

Help Me with this please

Answers

Answer:

B) Δ+5

Step-by-step explanation:

Means that Austin has $5 more than Mark

Hope this helps

A new computer repair company offers house calls to their customers. They use the function f(h) = 45h + 80 to calculate the total repair bill, f(h), for h number of hours worked. A. What does 45 represent in the function? < B. What does 80 represent in the function? > C. Find h if f(h) = 215. What does this value of h mean in the context of the problem? <​

Answers

The function f(h) = 45h + 80  of the computer repair is a linear function

45 represents the hourly rate80 represents the base costThe value of h means 3 hours

What 45 and 80 represents?

A linear function is represented as:

f(h) = mh + c

Where:

m represents the rate; m = 45b represents the base cost or y-intercept; y = 80

By comparison;

45 represents the hourly rate and 80 represents the base cost

How to calculate h?

We have:

f(h) = 45h + 80  

When f(h) = 215, the function becomes

45h + 80 = 215

Subtract 80 from both sides

45h = 135

Divide both sides by 45

h = 3

Hence, the value of h means 3 hours

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