Suppose a polynomial of degree 4 with rational coefficients has the given numbers as zeros. Find the other zero.

Answers

Answer 1

Answer:

[tex]x_4 = -5 + i[/tex]

Step-by-step explanation:

See comment for complete question.

From the complete question, we have:

[tex]Zeros \to -2, -6, -5-i[/tex]

Required

Determine the other zero

The zeros can be represented as:

[tex]x_1 = -2[/tex]

[tex]x_2 = -6[/tex]

[tex]x_3 = -5-i[/tex]

Considering the 3rd zero, which is a complex number.

If a polynomial has a complex number as one of its zeros, then its conjugate pair is the corresponding zero

A conjugate pair is given as:

[tex]a + bi[/tex] and [tex]a - bi[/tex]

For [tex]x_3 = -5-i[/tex]

The conjugate pair is:

[tex]x_4 = -5 + i[/tex]

Hence, the other zero is: [tex]-5 + i[/tex]


Related Questions

5x + 8 = 23

Solve x.

Please

Answers

Answer:

X=3

Step-by-step explanation:

I got a calculator.  

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

First you want to subtract 8 from 23

[tex]23-8=15[/tex]

Now take 15 and divide by 5

[tex]15/5=3[/tex]

3 is the final answer

Someone help and plz make sure it’s right? :)

Answers

Answer:

Right

Step-by-step explanation:

It is right because every angle with 90° degree or with these shapes are called right angled traingle.

if it helps don't forget to like and mark me

which fractions are equivalent to 2/6. (select ALL that apply).
4/8
1/4
5/9
1/3
4/12

Answers

Answer:

1/3 and 4/12

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLY IF U HELP ME

Answers

Answer:

D

Step-by-step explanation:

Is 2.36 a rational number?

Answers

Answer:

Yes

Step-by-step explanation:

Since it is a terminating (it ends) decimal and could be written as a fraction

Seth bought glow-in-the-dark stars to
put on his ceiling. There are 5 big stars
and 25 little stars. He wants to make
constellations that each have 1 big
star. If he uses the same amount of
stars for each constellation, how many
little stars will each have?

Answers

Answer:

Each constellation will have 5 little stars.

Step-by-step explanation:

First, let's organize the information we have:

5 big stars25 little starsEach constellation should have 1 big starEach constellation should have the same amount of stars

Now, let's solve the problem:

Each constellation should have 1 big star, and Seth has 5 big stars, so we can infer that there would be 5 constellations.Since each constellation have 1 big star, and the amount of stars in each constellation is the same, the amount of little stars in each constellation are the same.We have 25 little stars, and there are 5 constellations; 25 ÷ 5 = 5, so each constellation have 5 little stars.

What is the volume of this pyramid?

Answers

Answer:

150 cm

Step-by-step explanation:

It's 150 cm because if you multiply L x W x H, you will get your answer. So it would be 6 x 5 x 5 = 150.

Please help me ASAP Its 4th grade homework

Answers

Answer:

equilateral

Step-by-step explanation:

all sides are even to each other

Answer: Equilateral triangle

Step-by-step explanation: This is because it has 3 equal sides

Which expression is equivalent to −13(6x+15)−3?

Answers

There you go. N have a nice day:))

can someone please help with this? real answer only please......ive asked multiple questions today becuz i dont really understand the assignment, please help​

Answers

i believe the answer is A

A tree in Aldo's backyard has been growing for 2 2/5 years. The tree is 1/4 meters tall. What is the unit rate in meters per year? please I need this answer fast!!!

Answers

Answer:

The correct answer is D

Step-by-step explanation:

The division is one of the four fundamental arithmetic operations. The unit rate in meters per year is 0.10417.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given A tree in Aldo's backyard has been growing for 2 2/5 years. Also, the tree is 1/4 meters tall. Therefore,  the unit rate in meters per year can be written as,

[tex]{\rm Unit\ rate} = \dfrac{\frac14}{2\frac25} = \dfrac{1}{4} \times \dfrac{5}{12} = 0.10417[/tex]

Hence, the unit rate in meters per year is 0.10417.

Learn more about Division:

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Which function could be represented by the graph on the coordinate plane?

f(x) = (x – 8)2 + 6
f(x) = (x + 8)2 + 6
f(x) = (x + 8)2 – 6
f(x) = (x – 8)2 – 6

Answers

Answer:

It D

Step-by-step explanation:

11. Angela is using several cones to decorate for a party. The cones she has
chosen are 8 inches tall and have a radius of 3 inches. What is the volume of
one of the cones to the nearest whole cubic inch?

Answers

Answer:

[tex]75.4 in^3[/tex]

Step-by-step explanation:

First start with your cone volume equation which is

[tex]V=\pi r^2\frac{h}{3}[/tex]

Now plug in what you know

r=3

h=8

[tex]V=\pi (3)^2(\frac{8}{3})[/tex]

put in calculator and get

[tex]75.4 in^3[/tex]

Will mark as brainliest :)! Suppose that there were a strong correlation between the variables d and t.
Which of these is a true statement?
A. d must not cause f.
B. fmust cause d.
c. d may cause f.
D. d must cause f.

Answers

Answer:

c

Step-by-step explanation:

A strong correlations shows evidence of a relationship between the two quantities.  It does not necessarily indicate that a change in one variable is causing a change in the other one.  There MAY be a causal relationship, but the correlation, by itself, does not prove that.

Question 12 (2 points)
Solve the system of equations using subsititution.
y = 2x - 3
y + 5 = 3x

Answers

Answer:

(2,1)

x = 2

y = 1

Explanation:

Check the image

Answer:

(2,1)

Step-by-step explanation:

Since we already have an equation for y, all we need to do is plug that into y in the other equation.

y + 5 = 3x

(2x - 3) + 5 = 3x

2x - 3 + 5 = 3x

2x + 2 = 3x

2 = x

Now that we know y, we just need to plug the value of x into the equation.

y = 2(2) - 3

= 4 - 3

= 1

Tucker goes to bed at 8:25 pm every
night. He wakes up at 6:45 am. How
long does Tucker sleep each night?

Answers

Answer:

10 hours and 20 minutes.

Step-by-step explanation:

We can find out how many hours of sleep Tucker gets every night by counting in one-hour intervals.

One hour from 8:25 is 9:25.

9:25, 10:25, 11:25, 12:25, 1:25, 2:25, 3:25, 4:25, 5:25, 6:25.

This is 10 hours.

Now we count in ten-minute intervals to get to 6:45

6:35, 6:45.

This is 20 minutes.

Therefore, Tucker gets 10 hours and 20 minutes of sleep each night.

Answer: 10 hours, 20 minutes

This is equivalent to 620 minutes.

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

Explanation:

The user purrugh has a great answer. I'll provide a slightly different approach.

The timespan from 8:25 PM to 9:00 PM is 35 minutes. Note how adding 35 minutes to 25 past the hour gets us to 25+35 = 60 minutes, so we're at the top of the hour now, and at 9 o' clock on the dot.

Then from 9 PM to 12 midnight is a gap of 3 hours (because 12-9 = 3). From midnight to 6 AM is another 6 hours. So far we have 3+6 = 9 hours, plus the additional 35 minutes mentioned earlier. The duration so far is 9 hours, 35 minutes. We still have to account for another 45 minutes, since we want to get to 6:45 AM and not 6:00 AM.

Note how 35+45 = 80, which is over 60. This means 35 min + 45 min = 80 min = (60 min) + (20 min) = 1 hr, 20 min

That "1 hr, 20 min" is added onto the "9 hours" from earlier and we arrive at 10 hours, 20 minutes as the final answer

-----------------------------

Yet another approach is to do everything in minutes, and then convert to hours,minutes format at the very end.

Again the gap from 8:25 PM to 9:00 PM is 35 minutes. From 9 PM to midnight is 3 hours, or 3*60 = 180 minutes. We have a duration so far of 35+180 = 215 minutes.

From midnight to 6 AM is 6*60 = 360 minutes. The duration has been updated to 360+215 = 575 minutes. Finally, from 6 AM to 6:45 AM is the last gap of 45 min to get us to 575+45 = 620 minutes.

Tucker slept a total of 620 minutes. Let's convert that to hours,minutes format. Note how 620 = 600+20 and how 600/60 = 10. Meaning that 600 minutes = 10 hours. Therefore,

620 min = (600 min) + (20 min) = 10 hours, 20 minutes

Select the correct answer.
A survey reveals that the sales of smartphones is increasing considerably. The average annual sales of smartphones, in million units, n years after the survey is conducted is modeled by function p below. The parameter b is an unknown positive base.

p(n)=1.7×b^n

Which statement is true about this situation?

A.
When the survey was initially conducted, the average sales of smartphones was 1.7 million units.
B.
If b = 1.02, the annual sales of smartphones will double in 2 years.
C.
If b = 1.45, the annual growth rate of the sales of smartphones is 145%.
D.
The average annual sales of smartphones increases by 1.7 million units every year.

Answers

Answer:

When the survey was initially conducted, the average sales of smartphones was 1.7 million units.

Step-by-step explanation:

The exponential equation is P ( n ) = 1.7 ( b )ⁿ , where n is the number of years and P ( n ) is the annual sales of smartphones and the initial sales of smartphones was 1.7 million units

What is exponential growth factor?

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

P ( n ) = 1.7 ( b )ⁿ

where , n is the number of years

And , P ( n ) is the annual sales of smartphones

Now , the value of b is the exponential growth factor

At the initial year , the number of smartphones sold is when n = 0

So , when n = 0

P ( 0 ) = 1.7 ( b )⁰

P ( 0 ) = 1.7 million units

Hence , the number of smartphones sold in initial year is 1.7 million units

To learn more about exponential growth factor click :

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Vicky cut a string into 4 equal pieces. She started with a string that was 5.4 inches long. How many inches long was each piece that Vicky​ cut?

Answers

Answer: 1.35 inches

hope this helps

Write the number 560 in scientific notation.

Answers

Answer:

5.6 x 10 2

Step-by-step explanation:

Answer:

5.6 × [tex]10^{2}[/tex]  - scientific notation

hope this answer helps you.....

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEE PLSSSS

Answers

Answer:

d. 2x+3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Eric's cell phone service costs $40.00 a month for unlimited calls. He also pays $0.02 for each text message he sends Which equation represents the total costin dollars, for a month when Eric sends text messages?

Answers

Answer:

the answer is d

Deluxe limousine service charges $2 for the initial pickup of the passenger and then $1 per mile

Answers

What is the question???

What is 5g+7g and g(5+7)?

Answers

((5 g) + (7 g)) + (g * (5 + 7)) =
24 grams

Answer:

12g and 12g

Step-by-step explanation:

5g + 7g = 12g

g(5+7) = g(12) = 12g

Fill in the table for this input-output rule:
4
divide by 2
and add 1
input
3.
output
0
2.
-8
100

Answers

Answer:

1, 2, -3, 51

Step-by-step explanation:

0 ÷ 2 = 0, then + 1 = 1

2 ÷ 2 = 1, then + 1 = 2

-8 ÷ 2 = -4, then + 1 = -3

100 ÷ 2 = 50, then + 1 = 51

I NEED HELP FAST!!!! WILL GIVE BRAINLIEST.

Answers

Answer:

Step-by-step explanation:

Ok what’s the problem

Find the volume of the cylinder. Round your answer to the nearest tenth.
12 in.
10 in.

Answers

Answer: this is your answer 4523.9

Step-by-step explanation:

which graph represents a function

Answers

Answer:

a

Step-by-step explanation:

Answer:

dfvgbhnm,kmjnhbgvx

Step-by-step explanation:

c vgbhjnmk,jnhbgvfc

Hometown Donuts recently sold 19 donuts, of which 6 were cream-filled donuts. What is the experimental probability that the next donut sold will be a cream-filled donut?

Answers

Answer:

13

Step-by-step explanation:

Hometown Donuts recently sold 19 donuts, of which 6 were cream-filled donuts. What is the experimental probability that the next donut sold will be a cream-filled donut?

Write your answer as a fraction or whole number.

-------------------------------------------------------------------------------------------------------------

Remember That The experimental probability is the number of times an event occurs out of the total number of trials.

-------------------------------------------------------------------------------------------------------------

So. Write the experimental probability as a fraction in simplest form: P(Cream-Filled Donuts) = Cream-Filled Donuts over / divided by the total (Cream-Filled Donuts/Total)

-------------------------------------------------------------------------------------------------------------

= 6/19

-------------------------------------------------------------------------------------------------------------So, The Answer Would Be 6/19

This is the right answer, I had the same question ^^

Someone please help me withe this​

Answers

Answer:

13

Step-by-step explanation:

it will be B because it find the missing side you need to do the pythagorean theorem

13 is the answer.......

1. Jason bought tickets for him and his friends to
go to the movies. Tickets cost $9 each. He
also spent $15 on food. His total was $51. How
many tickets did he buy for the movie?

Answers

Answer:

he bought 4 tickets

Step-by-step explanation:

51-15=36

36÷9=4

Can I please have Brainliest?

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