Zeros of a polynomial. Please help

Zeros Of A Polynomial. Please Help

Answers

Answer 1

The zeros, the polynomial x³-5x²+8x-6 are 3, (1-i) and (1+i) and factors are

(x-3)(x²-2x+2)

What are zeroes?

Zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole.

Given a polynomial (x³-5x²+8x-6)

x³-5x²+8x-6 = (x-3)(x²-2x+2)

(x²-2x+2) can't be factorized and will have imaginary roots,

Hence, The zeros, the polynomial x³-5x²+8x-6 are 3, (1-i) and (1+i) and factors are (x-3)(x²-2x+2)

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Related Questions

What is the value of x in the equation-2/9x=2/5?

A. -1 4/5

B. -5/9

C. 5/9

D. 1 4/5

Answers

The value of x is -1 4/5 i.e, Therefore, the correct option is A

Define Algebraic Expression

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it. In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).

Given expression,

-2/9 x=2/5

Isolate the variable, x

x = (2 * 9) / ( 5 * -2)

x = - (9/5) or -1 4/5

Hence, the value of x is -1 4/5 i.e, option(A)

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Please solve the problem below
2(x+4)+2=5x+1

Answers

Answer:

3

Step-by-step explanation:

2x+8+2=5x+1

2x+10=5x+1

CLT

10-1=5x-2x

9=3x

9/3=3x/3

x=3

Answer:x=3

Step-by-step explanation:

Given,

2(x+4)+2=5X+1

solving the brackets,

2x+8+2=5x+1

2x+10=5x+1

taking the like terms together and solving them,

10-1=5x-2x

9=3x

x=9/3

x=3

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Suppose you flip a penny and a dime. Use the following table to display all possible outcomes. Penny dime head ? head ? tail ? tail ? if each single outcome is equally likely, you can use the table to help calculate probabilities. What is the probability of getting two heads? a. P(2 heads) = one-half b. P(2 heads) = three-fourths c. P(2 heads) = startfraction 4 over 4 endfraction d. P(2 heads) = one-fourth.

Answers

In this position, if you flip a penny and a dime to get both heads option D). p(2 heads) = one-fourth is correct answer .

What is Probability ?

It is simply the favorable number of outcomes divided by total outcomes is called probability.

favorable outcomes :-

Two Heads

condition 1 : coin-1 => head,  coin-2 => headcondition 2: coin-1 =>  head,  coin-2 => Tailcondition 3: coin-1 =>  Tail,    coin-2 => headcondition 4: coin-1 => Tail,     coin-2 => Tail

only one condition ( condition 1: coin-1 => head, coin-2 => head ) is favorable outcome of four conditions.

probability = one-fourth or  [tex]\frac{1}{4}[/tex].

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a simple random sample of 40 items resulted in a sample mean of 25. the population standard deviation is 5. what is the standard error of the mean? (round your answer to two decimal places).

Answers

The standard error of the mean is approximately 0.79 (rounded to two decimal places).

Define standard error ?

The standard error is a statistical term that measures the variability of a sample mean or an estimate of a population parameter from its true value. It is the standard deviation of the sampling distribution of the mean. In simpler terms, the standard error measures how much the sample mean varies from the true population mean. A smaller standard error indicates that the sample mean is more likely to be representative of the population mean, while a larger standard error suggests that the sample mean may not be as reliable.

The formula for the standard error of the mean is:

[tex]SE = \frac{\sigma }{\sqrt{n}}[/tex]

Where σ is the population standard deviation and n is the sample size.

Substituting the given values:

[tex]SE =\frac{5}{\sqrt{40}}[/tex]

SE ≈ 0.79

Therefore, the standard error of the mean is approximately 0.79 (rounded to two decimal places).

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What is the length of segment DE?

Answers

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ D(\stackrel{x_1}{a}~,~\stackrel{y_1}{-2b})\qquad E(\stackrel{x_2}{4a}~,~\stackrel{y_2}{0})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ DE=\sqrt{(4a-a)^2+( ~~ 0-(-2b)~~)^2}\implies DE=\sqrt{(3a)^2+(2b)^2}[/tex]

examples of one solution

Answers

Answer:I can’t see image on mobile

Step-by-step explanation:

h

Keilantra wants to ride her bicycle 28. 8 miles this week. She has already ridden 4 miles. If she rides for 4 more days, write and solve an equation which can be used to determine mm, the average number of miles she would have to ride each day to meet her goal.

Answers

The average distance that Keilantra would have to ride is 6.2 miles. And equation to this question would be 28.8 - 4 = 4m .

What is an equation ?

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

Main body:

total distance she has to travel = 28.8 miles

distance already traveled by her = 4 miles

total days = 4

So equation will be =

4m = 28.8 - 4

solving this we will get average distance traveled by her

4m = 24.4

m = 24.4/4

m = 6.2 miles

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Answers ? Help pls ):

ONLY ANSWER IF YOU REALLY KNOW IT ! NO LINKS !

Answers

Answer:

Break even 126 units

105x - (90x + 1890)  Profits will be revenue minutes expenses.

The second answer.

Step-by-step explanation:

105x = 90x +1890  Subtract 90x from both sides

15x = 1890  Divide both sides by 15

x 126

They need to sell 126 units to break even.

105(91) -[90(91) + 1890]

9555-8190-1890

9555 - 16380

-6825

Selling 91 units will produce a loss of 6825

helppp ..........
...

Answers

Answer:

Step-by-step explanation:

Ok:

Tips: The names and definition of shapes are arleady identified so just match them

1. The figure is a trapezoid since it has one parallel side.

2. The figure is a square since it is a side with four equal lengthed sides.

3. The figure is a rectangle since it has 2 sets of parallel sides with two same length and width

4. Irregular Quardrileteral since it arleady looks irregular and four sides are all different lengths and widths!

5. Parallelogram. Since it has four sides and and two are different lengths.

6. Rhombus. Since all sides are parallel to each other and width and length are the same.

7. Irregular Quardrileteral since it arleady looks irregular and four sides are all different lengths and widths!

8. Rectangle since it has 2 sets of parallel sides with two same length and width

9. Parallelogram. Since it has four sides and and two are different lengths.

I need help immediately!! It’s subtract mixed numbers with unlike denominators!!

Answers

Answer:

C

Step-by-step explanation:

A = 3 11/12

B = 3 2/3

C = 4 1/4

D = 3 3/4

4 1/4 is equivalent to 4 3/12.

can someone please help me:)?

Answers

Equation A. (8(4+x) = 72, and answer C are your responses (5 hours).

What do babysitters for young children go by?

Caregiver, governess, nanny, au pair, infant-care employee, day-care provider, mother's assistant, and mother or father are a few alternative terms for babysitters that seem more professional.

How old do you need to be to watch children?

While most babysitters begin their careers between the ages of 11 and 14, there is no set legal minimum age requirement in most places. At age eleven, you could start a red cross babysitting route. You are old enough if your parents still remember you and think you are trustworthy enough to

Find out how much of her Friday's earnings was left over. four*8= 32

She has 72 dollars in total, of which 32 dollars were earned on Friday; the remaining 56 dollars were earned on Saturday. 72-32 equals forty.

She made 40 dollars on Saturday at an hourly rate of $8, so you divide 40 by 8 to get 5, and so on. On Saturday, she worked for five hours.

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Imani drove to the lake and back. On the trip there he drove 30km/h and on the return trip he went 40km/h. How long did the trip there take, if the trip back wa 3 hour?

Answers

7 hours long was the trip for Imani to drove to the lake and back.

Speed is rate of change of position of any object from place to another . Formula to calculate speed is

Speed = Distance / Time

Speed at which he drove to the lake = 30Km/h

Speed at which he drove back = 40Km/h

Time taken in returning back from the trip = 3 hours

Distance travelled when time taken is 3 hours and speed is 40Km/h = Speed ×Time taken =

40 × 3 = 120 Km

Time taken by Imani to drove to the lake = Distance / Speed

= 120 / 30

= 4 hours

Total hours trip took = 4 + 3 = 7 hours

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a1=−12an=an−1+5

What is the sixth term of this sequence?

Answers

The sixth term is a₆ = 13.

What is an arithmetic sequence?

A sequence in which the difference between any two consecutive terms is the same is known as an arithmetic sequence.

Given that, a₁= -12 and aₙ = aₙ₋₁ + 5.

aₙ = aₙ₋₁ + 5

Substitute n = 2 into the above equation,

a₂ = a₂₋₁ + 5

a₂ = a₁ + 5

Substitute a₁ = -12 into the above equation,

a₂ = -12 + 5

a₂ = -7

Repeating the same process, a₃ = -2, a₄ = 3, a₅ = 8, and a₆ = 13.

Hence, the sixth term is a₆ = 13.

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Martin has $30 and he makes $10 an hour mowing grass. His friend has $60 and makes $7 an hour babysitting. After how many hours will Martin have more money?

Answers

Martin will have more-money than his friend after babysitting for 10 hours

How to determine the relationship equation?

The given parameters in the question are:

Martin

Initial amount = $30

Additional earnings = $10

His friend

Initial amount = $60

Additional earnings = $7

The equation that shows their total earnings is

y = Initial amount + Additional earnings * x

So, we have

Martins: y = 30 + 10x

His friend: y = 60 + 7x

When Martin has more money, we have

Martins > His friend

This gives

30 + 10x > 60 + 7x

Evaluate the like terms in the above inequality

3x > 30

Divide by 3

x > 10

Hence, Martin will have more money after 10 hours

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sara takes wedding pictures. for each picture, she has 1/4 chance that everyone looks at the camera. how many pictures must she take to have at least a 4/5 chance of having a picture in which everyone is looking at the camera?

Answers

For at least 6 pictures she must take to have at least a 4/5 chance of having a picture in which everyone is looking at the camera.

Let p define the probability of success in a Bernoulli trial, and P define the probability Sara wants to reach "at least" and n be defined as the number of trials. Then,

= 1 - (1 - p)ⁿ ≥ P

= (1 - p)ⁿ ≤ 1 - P

= n ≥ ln(1-P)/ln(1-p)

= n ≥ ln (0.2) / ln (0.75)

=5.6

Hence for at least n=6 photos, there is at least a chance of 4/5 that everyone is looking at the camera.

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6,311
✕ 41 pls answer

Answers

Answer:

258751

Step-by-step explanation:

multiply and you'll get the answer

Kala deposits $3000 into an account that pays simple interest at a rate of 4% per year. How much interest will she be paid in the first 2 years?

Answers

If Kala deposits $3000 into an account .The interest  she pay in the first 2 years is $240.

How to find the simple interest?

Using this formula to find the interest

I = P × r ×t

Where:

I = Interest = ?

P = Principal = $3,000

R = rate = 4% or 0.04

T = Time = 2 years

Let plug in the formula

I = 3,000 × 0.04 × 2

I = $240

Therefore she will pay the amount of $240 as interest.

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Which expression is equivalent to 5m - (2m - 8) + 12 + 6m?

Answers

[tex]=5m-2m+8+12+6m\\=5m-2m+6m+8+12\\=3m+6m+20\\=9m+20[/tex]

The answer is 9m+20,it is equivalent to the expression in the question.

A furniture maker uses the specification 19.8≤w≤20.2 for the width, w, in inches of a desk drawer. Write the specification as an absolute value inequality.

Answers

Answer:

Step-by-step explanation:

The correct answer is:

|w-20| ≤ 0.12.

Explanation:

We first find the average of the two ends of the inequality:

(19.88+20.12)/2 = 40/2 = 20

This will be the number subtracted from w in the inequality.

Now we find the difference between this value and the ends:

20-19.88 = 0.12

20.12 - 20 = 0.12

This will be what our absolute value inequality ends with; the "answer" part, so to speak.

Since this inequality is written in compact form, it must be an "and" inequality; this means the absolute value inequality must be a "less than or equal to."

This gives us

|w-20| ≤ 0.12

PLEASE HELP

i already know that
-8 is wrong

Answers

Answer:

-16

Step-by-step explanation:

slope formula: y2-y1/x2-x1

y-16/17+19

y-16/36

Numerator is supposed to equal -32 since denominator is 36

y-16=-32

 +16.  +16

y=-16

Hopes this helps,please mark brainliest

Answer:

  (b)  -16

Step-by-step explanation:

You want the y-value that goes with x=17 on the line with slope -8/9 through point (-19, 16).

Point-slope equation

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

The line with slope -8/9 through point (-19, 16) will have the equation ...

  y -16 = -8/9(x +19)

Y for x=17

You want the value of y for x=17. We can find that by substituting x=17 into the above equation:

  y -16 = -8/9(17 +19) = -8/9(36) = -32

Adding 16 gives the value of y:

  y = 16 -32 = -16

The line passes through the points (-19, 16) and (17, -16).

What are the answers to this ??

ONLY ANSWER IF YOU KNOWWW THE ANSWER ISTG.

help asap plsss, i just need this question :,)

Answers

Answer:

Equilibrium quantity = 408 items

Equilibrium price = $136

The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 16 mph and the Mystic travels at 20 mph. How far apart will they be in 2 hours?

Answers

After 2 hours Serenity and Mystic will be 72 miles apart

The speed of the Serenity  = 16 mph

The time taken = 2 hours

The speed = Distance / Time

The distance = The speed × time

The total distance traveled = 16 × 2

= 32 miles

The speed of the Mystic  = 20 mph

The time taken = 2 hours

The distance = The speed × time

Total distance traveled = 20 × 2

= 40 miles

Total distance = 32 + 40

= 72 miles

Hence, after 2 hours Serenity and Mystic will be 72 miles apart

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please help asap

i already know that -7 is wrong

Answers

Answer:

Step-by-step explanation:

I thinkin it -43

Answer:

15

Step-by-step explanation:

because when the y value stays the same, the slope is 0

40 points if you help

Answers

Answer:

(a) the graph is discrete because the number of basketballs cannot exist in fractions

(b) 126 ÷ 14 = 9, 9 basket balls were bought

graph:-

[b] [a]

0 0

1 14

2 28

3 42

4 56

Answer:

discrate

9

0 14 24 38 52

Please help me pleaseeee

Answers

The value of x for the given triangle is 2 units.

According to the question,

We have the following information:

We have a figure of triangle where a line segment is dividing the two sides. The measurement of some of its sides are given.

Now, the side with measurement 12 units and one divided side is 4 units.

The next side to 4 units in the same side will be (12-4) units or 8 units.

Now, using the basic proportionality theorem, we have the following expression:

6/6x = 4/8

Using the cross multiplication method:

6x*4 = 8*6

x = 48/24

x = 2 units

Hence, the value of x for the given triangle is 2.

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A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the exponential function that represents the size of the bacteria population after t hours. Write your answer in the form f(t)=a(b)t. Use either fractions, or decimals rounded to 4 places.

Answers

p(t) = 6000·(1/2)^(t/3) is the exponential function which represents the size of the bacteria.

What is bacteria?

Bacteria are common, mostly non-symbiotic organisms that regularly solely have one biological cell. they create up a big portion of the being microorganism kingdom.

Main Body:

An exponential growth or decay can be modeled by =

value = (initial value) · (growth factor)^(t/(time for growth factor))

Here, the growth factor is 3000/6000 = 1/2 in 3 hours. The initial value is 6000. Putting those numbers into the above form, we have ...

p(t) = 6000·(1/2)^(t/3)

If you prefer your exponential functions to be a power of e, then this is ... Hence,p(t) = 6000·e^(-0.23105t)

The constant -0.23105 is ln(1/2)/3.

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Aurora thinks of a number. What is her number?
My number is odd and
greater than 4.
54 and 36 are multiples of
my number.

Answers

Answer: 9

Step-by-step explanation:

Factors that 54 and 36 share are 1, 2, 3, 6, and 9.

3 and 9 are the only odd numbers, but 3 is below 4.

Therefore, it has to be 9

The number which is odd, greater than 4, and 54 and 36 are its multiples is 9.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

x = odd

x = greater than 4

x = 54 and 36 are multiples

Now,

The number is 9.

9 is an odd number.

9 is greater than 4.

54 and 36 are multiples of 9.

i.e 9 x 6 = 54 and 9 x 4 = 36

Thus,

The number is 9.

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Mario purchases a prepaid phone plan for 50$. Each minute he uses costs $0.13. How many minutes can Mario talk on this plan

Answers

Answer:

49.87

Step-by-step explanation:

He can talk on the phone for 385 minutes.

A submarine is 75 feet below sea level. It descends another 25 feet every 10 seconds for 3 minutes. What integer represents the submarines current location?

Answers

The integer represents the submarine's current location is -525 feet

The initial position of submarine = 75 feet below sea level

The descending rate of submarine = 25 feet every 10 second

Total time = 3 minutes

One minute = 60 seconds

3 minutes = 180 seconds

Therefore number of 10 seconds period = 180 / 10

= 18

For each 10 second the submarine descend 25 feet

Total distance that submarine descend = 18 × 25

= 450 feet

The initial position of submarine = -75

Current position = -75 - 450

= -525 feet

Hence, the integer represents the submarine's current location is -525 feet

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A, B, C, D, E, F, G & H form a cuboid.
AB= 5.4 cm, BC = 3.4 cm & CG = 6.7 cm.
Find HC rounded to 1 DP.

Answers

Refer to the attachment for the diagram:

The length of HC rounded to 1 DP = 9.3 cm²

What is a cuboid?

A cuboid is a solid shape or a three-dimensional shape in geometry. A cuboid is a convex polyhedron that has eight vertices, twelve edges, and six rectangular faces. A rectangular prism is another name for a cuboid. A cube is an object with six square faces on a cuboid.

From the figure,

length (l)= 5.4 cm = AB

width (w)=3.4 cm = BC

height (h)= 6.7 cm = CG

Formula:

Length of diagonal = √(l²+w²+h²) = √(5.4²+3.4²+6.7²) = 9.25 cm²

Rounded to 1 decimal point:

9.3 cm²

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