Find a polynomial of lowest degree that has the indicated zeroes: 1+i, 1-i, 3

Answers

Answer 1

Answer:

-3i + (6 x 9)

Step-by-step explanation:

Answer 2

The zeroes of the polynomial are 1 + i, 1 – i, and 3. Then the polynomial of the lowest degree will be x³ – 5x² + 8x – 6.

What is polynomial?

A polynomial expression is an algebraic expression with variables and coefficients.

The zeroes of the polynomial will be 1 + i, 1 – i, and 3.

Then the factor of the polynomial will be (x – 1 – i), (x – 1 + i), and (x – 3).

Then the polynomial will be

(x – 1 – i)(x – 1 + i)(x – 3)

[(x – 1)² – i²](x – 3)

(x² – 2x + 2)(x – 3)

x³ – 2x² – 3x² + 2x + 6x – 6

x³ – 5x² + 8x – 6

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Related Questions

A woman goes to macy's and wants to purchase the following items: A sweater for $19.99, a belt for $29.99 and a pair of earrings for $79.99. How much is her total bill? (assume no tax )

Answers

Answer:

129.97

Step-by-step explanation:

19.99+29.99+79.99=129.97

when this polynomial is divided by (m+1), the remainder is 0. What is the value of the polynomial’s constant term?

Answers

Answer: it would be -4

Step-by-step explanation:

I got it right one the mastery test

Answer: -4

Step-by-step explanation:

2) If x+y=6 and xy=5 find x-y?​

Answers

Answer:

x - y = ± 4

Step-by-step explanation:

Given

x + y = 6 and xy = 5

To find

x - y

Solution

(x - y)² = (x + y)² - 4xy = 6² - 4*5 = 36 - 20 = 16 = 4²(x - y)² = 4²x - y = ± 4

danny tosses a ball into the air. it's height, as a function of time , is modeled by y=-16x2+9x+4
which statement best describes the function ?
((this is for a text so please don’t guess))

Answers

Answer:

The function is non linear.

Step-by-step explanation:

Answer:

The function is nonlinear

Step-by-step explanation:

I got it wrong when i guessed something else

A recipe states that 5 servings of peanuts have 1,250 calories. How many servings is 375 calories of peanuts? *

Answers

1,250/5 = 250 calories per serving
375/250 = 1.5 servings

Answer:

500 calories

Step-by-step explanation:

divide the 1250 calories by the initial five servings and you get 250 then multiply that by the 2 servings they are asking for and you get 500 calories

Given the following information, write the linear equation in slope-intercept form.
3. slope = 1/3; y-intercept = -1
4. slope = 2/5; y-intercept = 0
5. slope = -1; y-intercept = 4​

Answers

Answer:

3) y = 1/3x - 1

4) y = 2/5x + 0 or just y = 2/5x

5) y = -1x +4

Step-by-step explanation:

because i aint never seen two pretty best friends, its always one of em gotta be ugly

what is 4y³ - 3z⁴ when y=3 and z=2 =

Answers

Answer:

60

Step-by-step explanation:

4(y)3 - 3(z)4

Sub:- 4(3)raise to three - 3(2)raise to four

4(27)-3(16)

4*27-3*16

108-48

=60.

What is the slope-intercept form of the line with the point (0, 3) and a slope = -2?
O A. y = 2x + 3
O C. y = -2x + 3
D. y = -2x - 3
B. y = 2x - 3

Answers

Answer:

2nd choice OC.y=-2x+3

Step-by-step explanation:

The equation for the slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. With these two numbers both given to us, we can just plug them in and get y=-2x+3.

Hope this helps you

2089+2089? HHHHHEEELLLLPPP PLZ first to answer get brainlyset

Answers

Answer:

4178

Step-by-step explanation:

Answer:

4178

Step-by-step explanation:

THANK YOU SO MUCH I NEEDED POINTS Brainliest please!!!!

Solve 5.4p+13.1=−2.6p+3.5 . Check your solution.



p= __

Answers

5.4p +13.1 = −2.6p+3.5 .

5.4p + 2.6p = 3.5 -13.1

8.0p = -9.6

p = -9.6 / 8

p = -1.2

an initial amount of $55,000 is invested in an account with interest compounded continuously the interest rate is 10% find the value of the account after 14 years​

Answers

A = P(1 + rt)
P = $55,000 r= 0.10 t= 14 years
A = 55,000(1+(0.10)(14) = 55,000(2.4)
A = $132,000 after 14 years

Which one represents a proportional relationship?

Answers

Line D, because starts at the origin which is (0,0) and continues as a strait line. A and C does not start the the origin and line B does not travel in a strait line.
Hope this helps you

which value is equivalent to 3^2+5x2-8

Answers

3^2+5x2-8
9+5x2-8
9+10-8
19-8
Answer: 11

please help me please please

Answers

Answer:

I think it is the second one, flown by women

Step-by-step explanation:

Which of these is a consumable good?
O Clothing
O Cell phone
O Automobile
O Food

Answers

Answer:

Food

Step-by-step explanation:

Answer:

food

Step-by-step explanation:

An object was dropped off the top of a building. The function f(x)=-16x^2+144f(x)=−16x 2 +144 represents the height of the object above the ground, in feet, xx seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.

Answers

Answer:

Step-by-step explanation:

Given the height at which an ogject dropped modelled by the function f(x)=-16x^2+144

The height of the body on the ground occurs at when f(x) = 0

0 =-16x^2+144

16x^2 = 144

x^2 = 144/16

x^2 = 9

x = 3

The ball reached the ground after 3 secs

The domain of a function is the input function that will make the function exist. Based on the function given, the function can exist on all given input value of x. Hence the domain of the function will be;

Domain =(-\infty, infty)

The domain of the function is required.

The domain of the function is the set of real numbers

[tex]x\in(-\infty,\infty)[/tex]

The function is

[tex]f(x)=-16x^2+144[/tex]

The y intercept of the function is

[tex]y=-16\times 0+144\\\Rightarrow y=144[/tex]

[tex](0,144)[/tex]

The y intercept is the maximum height here.

The x intercepts are the points where the object is on the ground.

They are

[tex]0=-16x^2+144\\\Rightarrow 16x^2=144\\\Rightarrow x=\pm\sqrt{\dfrac{144}{16}}\\\Rightarrow x=\pm3[/tex]

[tex](3,0),(-3,0)[/tex]

The domain of the function is the set of real numbers

[tex]x\in(-\infty,\infty)[/tex]

The graph of the figure is attached.

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The movie theater makes $750 in a hour period, how many hours will it take for the theater to make $2575?

Answers

Answer:

3.43 hrs

or

3 13/30

orrrr

103/30

Step-by-step explanation:

HELP
1.75^-0.5
(3/2)^2.4

Answers

Answer:

first off i just want to say i hate aleks but ill still give the answer

Step-by-step explanation:

1.75^-0.5 = 0.75592894

3/2^2.4 = 2.6461778

2x+5y=-62x+5y=−6 Determine the intercepts of the line

Answers

Answer:

(0,-6/5)

(X,Y)

Step-by-step explanation: MARK BRAINLIEST

Answer:

(-3,0)   (0,-1.2)

Step-by-step explanation:

this is one thing in math I can't figure out.

Answers

Answer:

12/9 and 4/3... Hit it in the calculator

The revenue earned from a sporting event can be determined by the ticket​ price, $125 each.

Answers

Answer:

all whole numbers

all whole-number multiples of 125

Step-by-step explanation:

The domain and the range of a function is the set of input and output values of the function.

The domain is the set of all whole numbersThe range is the set of all whole numbers

Let the number of tickets be x, and the revenue be y.

So, the revenue function will be:

[tex]\mathbf{y = 125x}[/tex]

The number of tickets cannot be less than 0.

So, the domain of the revenue function is:

[tex]\mathbf{Domain = [0,\infty)}[/tex]

The above means that, the domain is the set of all whole numbers

Similarly, the revenue cannot be less than 0.

So, the range of the revenue function is:

[tex]\mathbf{Range = [0,\infty)}[/tex]

The above means that, the range is also the set of all whole numbers (in multiples of 125)

Read more about domain and range at:

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Answer PLEASE ASAP
question on the image.

Answers

Answer:

The answer is DF

Step-by-step explanation:

The opposite side is 4 or EF, so the ADJACENT side would be 3 or DF according to SOH CAH TOA.

The table shows a relationship between x-and y- values which statement describes the pattern created by the values ?

Answers

Answer:

3rd one

Step-by-step explanation:

The correct pattern created by the values is,

⇒ Each value of y is determined by adding 4 to each x - values, so the pattern is additive.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

The table shows a relationship between x-and y- values.

Now, We have;

x = 2, 4, 6, 8

y = 6, 8, 10, 12

⇒ 2 + 4 = 6

⇒ 4 + 4 = 8

⇒ 6 + 4 = 10

⇒ 8 + 4 = 12

Clearly, Each value of y is determined by adding 4 to each x - values.

Hence, The pattern is additive.

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I need help with this question.

Answers

Answer:

[tex]\displaystyle S_{27}=675[/tex]

Step-by-step explanation:

The sum of N consecutive natural numbers is given by:

[tex]\displaystyle S_N=\frac{N}{2}(F+L)[/tex]

We need to find the sum of the natural numbers between 12 to 38.

To calculate the required sum we have F=12, L=38, but we don't have the value of N.

From 12 to 38 there are 38 - 12 + 1 = 27 natural consecutive numbers, thus N=27.

Substituting in the formula:

[tex]\displaystyle S_{27}=\frac{27}{2}(12+38)[/tex]

[tex]\displaystyle S_{27}=\frac{27}{2}(50)[/tex]

[tex]\displaystyle S_{27}=27*25[/tex]

[tex]\mathbf{\displaystyle S_{27}=675}[/tex]

what is 22.680 rounded

Answers

Answer:

22.68 or 22.7

Step-by-step explanation:

hope this helps

Answer:

23

My logic:

Well i just rounded up to the nearist one because you didn't specify how to round.

please help , picture above!

Answers

Answer:

The Slope of the hypotenuse of triangle ABC is equal to the slope of the hypotenuse of triangle CDE

Step-by-step explanation:

AE is a continuous line with consistent slope.

AC is a segment of this line and is the hypotenuse of triangle ABC.

CE is also a segment of AE and is the hypotenuse of triangle CDE.

Hope this helps.

Somebody help please

Answers

Answer:

[tex]\sqrt{2000}\phantom{a}yards[/tex]

Step-by-step explanation:

For a right triangle, [tex]a^{2} =b^{2} +c^{2}[/tex], if a is the hypotenuse. So, [tex]60^{2} =40^{2} +c^{2}[/tex], and c is the the distance we are trying to find:

[tex]60^{2} =40^{2} +c^{2}[/tex]

[tex]3600=1600+c^{2}[/tex]

[tex]c^{2} =2000[/tex]

[tex]c=\sqrt{2000}\phantom{a} yards[/tex]

Ericka observed the total variation in the water level over 6.2 years to be −13.64 mm. She compared this to the average annual trend, which shows the water level rising 1.8 mm/year. Remember, she used 6.2 years as her time period. What is the difference between how much average water levels rose and how much the water level fell in the part of the river she observed?

Answers

Answer:

3.96mm/year

Step-by-step explanation:

Given that :

Given that:

Observed variation in water level over 6.2 years = - 13.64mm

Average annual trend shows rise in water level at 1.8 mm / year

difference between how much average water levels rose and how much the water level fell in the part of the river she observed?

Average Yearly observed variation :

Observed variation / number of years

-13.64mm / 6.2 years

= - 2.16 mm

Hence, observed yearly fall = - 2.16 mm

Yearly rise = 1.8mm / year

Difference :

( 1.8 mm/year) - (-2.16mm / year)

= (1.8 + 2.16) mm/year

= 3.96 mm/year

Answer:

24.8 millimeters

Step-by-step explanation:

what is the answer to this?

Answers

Answer:

AA

Step-by-step explanation:

The smaller triangle and the bigger triangle have the same angle of 60 on one side.

They also have a common point at the top, which is also called a common angle.

You only need two angles to show that two triangles are similar, because the other angle has to be the same because all angles in a triangle add up to 180.

Which number is closest to 22 ?

Answers

Answer:

21 or 23

Step-by-step explanation:

Cuz 22 is in the middle of both.

.-.

Answer:

21 or 23

Step-by-step explanation:

BRAINLIEST PLS

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