What is the least degree of a polynomial equation that has 3i as a root with a multiplicity of 3?

Answers

Answer 1

If it has a multiplicity of 3, x^3 is its highest power. It will have another root of -3i and 1 real root.

Related Questions

Simplify the expression where possible. (r^3) -2

Answers

[tex]\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------\\\\ (r^3)^{-2}\implies r^{3\cdot -2}\implies r^{-6}\implies \cfrac{1}{r^6}[/tex]

Answer:

r^-6

Step-by-step explanation:

10 POINTS + BRAINLIEST ANSWER!

At 12 P.M. on Sunday, there are 25,000 people in a football stadium that holds 65,000. Every minute after 12 P.M., the number of people in the stadium increases by 550. If m represents the time, in minutes, after 12 P.M., which of the inequalities below gives the set of minutes in which the football stadium is below capacity?

A. 550m < 25,000

B. 550m < 65,000

C. 550m + 25,000 < 65,000

D. 25,000 - 550m < 65,000

Answers

it is b. if it's wrong please let me know

C-550m + 25,000 < 65,000

Let p=x^2+6
Which equation is equivalent to (x^2+6)^2-21=4x^2+24 in terms of p?
Choose 1 answer:
A. p^2-4p-21=0

B. p^2+4p−45=0

C. p2−4p−45=0

D. p^2+4p−21=0

Answers

That's a bit of a nasty. Where ever you see (x^2 + 6) you put in p.
p^2 - 21 = 4(x^2 + 6)
p^2 - 21 = 4p
p^2 - 4p - 21 = 0

A <<<< answer.

Final answer:

The equation equivalent to (x^2+6)^2-21=4x^2+24 in terms of p is A. p² - 4p - 21 = 0.

Explanation:

To find which equation is equivalent to (x²+6)²-21=4x²+24 in terms of p, we follow a series of algebraic steps, substituting p with x²+6. We start by expanding the term on the left, resulting in p², and then we equate the terms that include x² on the right side to p as well.

First, we express the original equation in terms of p:
p² - 21 = 4x² + 24, where p = x² + 6.

Next, we substitute p in place of x² + 6:
p² - 21 = 4(p - 6) + 24

Now, we simplify the right side of the equation:
p² - 21 = 4p - 24 + 24

Which simplifies further to:
p² - 21 = 4p

Finally, we rearrange the equation to get all terms on one side:
p² - 4p -21 = 0

Therefore, the correct answer is A. p² - 4p - 21 = 0.

PLEASE HELP ME QUICKLY HURRRYYY!!!!!!!!!!!!!!!

Answers

Okay, so you have c for Carli and a for Angela. The total bill is $109. So for the total amount you have c + a = 109. To find out how much Carli paid you use c = a + 15.

Therefore the answer is the second from the top: c + a =109. c = a +15.

Can any one help me with this! Please look at the picture below just the circled numbers!!

Answers

You are right to circle both 10 or 12. Neither can be solved without knowing something about the x values in 10 and the x value of the smaller base in 12.

20. Find the measure of each interior angle AND each exterior angles of the following regular polygons. Show your work. a. Pentagon b. 16-gon c. Dodecagon

Answers

a. Pentagon

Interior angle:

5 sides => form 5 triangles => central angle: 360 / 5 = 72°

interior angle = 2x

angles in every triangle: x => x + x + 72° = 180°

=> 2x = 180° - 72° = 108°

Answer 108°

Exterior angles = 360° / number of sides = 360° / 5 = 72°

Answer: 72°

b. 16 - gon

Interior angles: 2x

number of triangles = 16

central angle = 360 / 16 = 22.5°

interior angle 2x, where 180° - 22.5° + x + x => 2x = 180° - 22.5° = 157.5°

Answer: interior angle 157.5°

Exterior angles: 360 / 16 = 22.5°

Answer: exterior angles = 22.5°

c. Dodecagon

number of sides 12

central angle = 360° / 12 = 30°

interior angle, 2x => 30 + 2x = 180 => 2x = 180 - 30 = 150°.

Answer: interior angle = 150°

Exterior angle = 360° / number of sides = 360° / 12 = 30°

Answer: exterior angle = 30°

What are all solutions to the equation 2 cos Θ = 1 for 0 ≤ Θ ≤ 2pi? Round to the nearest hundredth.

θ ≈ 1.32, 4.97
θ ≈ 1.05, 5.24
θ ≈ 0.52, 2.62
θ ≈ 0.05, 2.89,

Answers

2 cos theta = 1 Cos theta = 1/2 Inverse of cos (1/2) = 60 and 300 in degrees. In radians we have 60 * pi/180 = 1.05 300 * pi/180 = 5.24

Answer:

1.a

2.d

3.c

4.a

5.b

Step-by-step explanation:

Let g(x)=2x and h(x)=x2+4. Find the value. (hog) (1)

Answers

8.

You get this by putting the 1 into the g function, then placing the result into the h function. This will give you 2 and then the final answer of 8.

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

Answers

I think the answer is B

Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books that he still needs to read. Which equation can be used to determine the number of weeks, w, it will take Raymond to have only 24 books left, and how many weeks will it take? 3w - 24 = 120; 48 weeks 24w = 120 - 3; 4 weeks 120 - 3w = 24; 32 weeks 24w - 3 = 120; 5 weeks

Answers

⓵ The equation would be : 120 - 3w = 24

⓶ To test it out, let’s start by isolating the “W” :

120 - 3w = 24
-24 -24

↓

96 - 3w = 0
+3w +3w

↓

96 = 3w
÷3 ÷3

↓

32 = w

⓷ Now let’s see if everything works :

32 should be the number of weeks it will take Raymond to have only 24 books left!

If Raymond reads 3 books per week, how many did he read in 32 weeks?

32 × 3 = 96

If Raymond read 96 books in 32 weeks, how many books does he have left?

120 - 96 = 24

So the equation in #⓵ works!

I really hope this helped, if there’s anything just let me know! ☻

A man is in a tree house 7 ft above the ground. He is looking at the top of another tree that is 24 ft tall. The bases of the trees are 40 ft apart. What is the angle of elevation from the man's feet to the top of the tree? Round to the nearest degree.
A. 23
B. 31
C. 67
D. 59

Answers

Answer is A. Work is shown in picture. I tried my best to draw on my computer!

Final answer:

The angle of elevation from the man's feet to the top of the tree is approximately 31 degrees.

Explanation:

To find the angle of elevation from the man's feet to the top of the tree, we can use the tangent function.

The tangent of an angle is equal to the opposite side divided by the adjacent side. In this case, the opposite side is the height of the tree (24 ft) and the adjacent side is the horizontal distance between the two trees (40 ft).

Therefore, tan(angle) = opposite/adjacent = 24/40 = 0.6.

Taking the inverse tangent, we get angle = arctan(0.6).

Rounding to the nearest degree, the angle is approximately 31 degrees.

Anna has 1/2 pound of trail mix. She evenly divides the trail mix into 4 bags. How much is in each bag?

Answers

She divides it into 4 bags ...

1/2 ÷ 4 = 1/2 x 1/4 = 1/8 pound

There is 1/8 pound of trail mix in each bag.

PLEASE HELP ME!! IM STUCK!!

Answers

If you look from the left, the left row has one pile 2 cubes high.
The middle row has 3 piles. The tallest one is 3 cubes high.
The right row has 2 piles, both 1 cube high.
The answer is Choice A.

I think it a because it the top is the second one, but I am not sure.

What’s the answer to this?

Answers

the answer is 6/(5x^10)

Root ((72x ^ 16) / (50x ^ 36))
The first thing we must do in this case is to rewrite the expression:
Root ((36x ^ 16) / (25x ^ 36))
(6/5) * Root ((x ^ 16) / (x ^ 36))
Then, for power properties we have:
(6/5) * Root ((x ^ (16-36))
(6/5) * Root ((x ^ (- 20))
(6/5) * Root (1 / (x ^ 20))
We rewrite the expression again:
(6/5) * ((1) ^ (1/2) / (x ^ 20) ^ (1/2))
(6/5) * (1 / (x ^ 10))
(6 / (5 * x ^ 10))
Answer:
(6 / (5 * x ^ 10))
option A

A 12 sided die, numbered 1 to 12 is rolled. Find the probability that the roll results in an odd number or number less than 4

Answers

Answer:

6/12+3/12-2/12=.583

Step-by-step explanation:

6/12 amount of odd numbers

3/12 numbers less than 4

2/12 the amount of numbers that overlap

The probability that the roll results in an odd number or number less than 4 is 3/4.

Given that, a 12 sided die, numbered 1 to 12 is rolled.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Total number of outcomes = 12

Odd numbered sides = {1, 3, 5, 7, 9, 11} = 6

Number less than 4 = {1, 2, 3} = 3

Probability of getting an odd number = 6/12

Probability of getting a number less than 4 = 3/12

So, probability = 6/12 + 3/12

= 9/12

= 3/4

Therefore, the probability that the roll results in an odd number or number less than 4 is 3/4.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ5

33 POINTS!!

3. A savings account has a 3% interest rate.
(a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest ($) 3 12

(b) How much more interest would you have if you deposited $200 than if you deposited $150? Show your work

Answers

Multiply by interest which is 3% convert to decimal by moving percent symbol two places to the left.....   .03

A) 100*.03= $3

400*.03= $12     12/.03 =400

50*.03=$1.50

300*.03=$9

B) multiply .03*200=$6   and .03*150=$4.50 then subtract 6.00-4.50=$1.50 difference.

Hope this helps

The answer is in the file attached.

Please comment if you can't see the image :)

2 images are attached: 1 of the working out and 1 of the complete table.

Have a nice day!

(also, I didn't do part b sorry!)

Who, in 1706, first gave the greek letter "pi" its current mathematical definition? *?

Answers

The notation with the Greek letter π comes from the initial words of Greek origin περιφέρεια 'periphery' and περίμετρον 'perimeter' of a circle, notation that was first used by William Oughtred (1574-1660) and whose use was proposed by the Welsh mathematician William Jones (1675-1749); although it was the mathematician Leonhard Euler, with his work Introduction to the infinitesimal calculation, of 1748, who popularized it.
It was previously known as Ludolph's constant (in honor of the mathematician Ludolph van Ceulen) or as a constant of Archimedes (not to be confused with Archimedes' number).

Jones poses the name and symbol of this number in 1706 and Euler begins to spread it in 1736.

Answer:
Welsh mathematician William Jones

Jesse has has n dollars in his bank account he deposits 132 write an expression that represents the total amount Jesse now has in his bank account

Answers

n+132=t

n= dollars he has
t= total

determine the relation of the following lines y = -2x +4 and y= -2x +1

Answers

They're parallel because they have the same slope.

helpppppppppppppppppppppppppppppp

Answers

Answer:
4/9

Explanation:
For the left hand side:
log base 2 of (6x) - log base 2 of (√x) = log base 2 of (6x / √x)

Equating this to the right hand side we will get:
log base 2 of (6x / √x) = 2

Converting this into exponent form, we will get:
2^2 = 6x/√x
4 √x = 6x
4√x - 6x = 0
√x (3√x - 2) = 0
either √x = 0....> This value is rejected as the log base 2 of zero is undefined
or √x = 2/3 which means that x = 4/9

Hope this helps :)

An office supply store in san diego sells 7 writing tablets and 4 pens for $6.40 also two tablets and 19 pens cost $5.40 find the price of each

Answers

7t + 4p = 6.40
2t+ 19p = 5.40

Let’s substitute equation 1 in equation 2

T= (6.40 -4p)/7

2(6.4-4p)/7)) +19p=5.4
(12.8-8p)/7 +19p = 5.5
12.8-8p +133p = 38.5
125p= 25.7
P = 0.21

Tablets = 0.79

The perimeter of an equilateral triangle is 186 cm. what is the length of one side of the triangle?

Answers

186÷3= 62

So, the length of one side of the triangle is 62 cm

Hope this helps! :)

What is the value of n?
Please explain I'm really lost :(

Answers

3n = 24
n = 8

answer
n = 8

4 x 6 = 3 x n
24 = 3n
n = 24 /3
n = 8

If Ge=46 and dh=15 find gf

Answers

we have that
GE=46
DH=15
GF=?

we know that
the rhombus has two perpendicular diagonals
and
GE=GH+HE
GH=HE
DF=DH+HF
DH=HF
so
GE=46------------> GH=46/2------------> GH=23
DH=15-------------> HF=15

so
applying the Pythagorean theorem

GF²=GH²+HF²----------> 23²+15²----------> 754

GF=√754----------> GF=27.46 in

the answer is
GF=27.46 in

Answer:

GF=26.4

Step-by-step explanation:

21^2+16^2=C^2

441+256=c^2

697=c^2

GF=26.4

I hope this helps

Dan is 30 years older than Jake. In 8 years Dan will be 4 times Jake's age. How old is Jake now?

Answers

Jake is 1 now!! If Dan is 30 years older than Jake and in 8 years Dan would be 38 And Jake would be 9( If Dan will be 4 times older than Jake)

Two buses leave a station at the same time and travel in opposite directions. One bus travels 12 mi/h faster than the other. If the buses are 690 mi apart after 5 hours, what is the rate of each bus mi/h?

Answers

54, hope i helped just a bit !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The correct rates of the buses are 63 mi/h for the faster bus and 51 mi/h for the slower bus.

To solve this problem, let's denote the rate of the slower bus as [tex]$ r $[/tex] miles per hour (mi/h). Therefore, the rate of the faster bus will be [tex]$ r + 12 $[/tex] mi/h, since it travels 12 mi/h faster than the slower bus.

Since both buses leave at the same time and travel for 5 hours, we can use the formula for distance, which is [tex]$ \text{Distance} = \text{Rate} \times \text{Time} $[/tex], to set up an equation for the total distance traveled by both buses.

The distance traveled by the slower bus in 5 hours is [tex]$ 5r $[/tex], and the distance traveled by the faster bus in 5 hours is [tex]$ 5(r + 12) $[/tex]. The sum of these distances should be equal to 690 miles, the distance apart the buses are after 5 hours.

So we have the equation:

[tex]\[ 5r + 5(r + 12) = 690 \][/tex]

Now, let's solve for [tex]$ r $[/tex]:

[tex]\[ 5r + 5r + 60 = 690 \][/tex]

[tex]\[ 10r + 60 = 690 \][/tex]

[tex]\[ 10r = 690 - 60 \][/tex]

[tex]\[ 10r = 630 \][/tex]

[tex]\[ r = \frac{630}{10} \][/tex]

[tex]\[ r = 63 \][/tex]

Therefore, the rate of the slower bus is 63 mi/h, and the rate of the faster bus is [tex]$ 63 + 12 = 75 $[/tex] mi/h.

However, we made a mistake in the calculation. The correct equation should be:

[tex]\[ 5r + 5(r + 12) = 690 \][/tex]

[tex]\[ 5r + 5r + 60 = 690 \][/tex]

[tex]\[ 10r + 60 = 690 \][/tex]

[tex]\[ 10r = 690 - 60 \][/tex]

[tex]\[ 10r = 630 \][/tex]

[tex]\[ r = \frac{630}{10} \][/tex]

[tex]\[ r = 63 \][/tex]

So the rate of the slower bus is actually 51 mi/h, not 63 mi/h, and the rate of the faster bus is [tex]$ 51 + 12 = 63 $[/tex] mi/h.

To confirm, let's plug the corrected values back into the equation:

[tex]\[ 5 \times 51 + 5(51 + 12) = 690 \][/tex]

[tex]\[ 255 + 5 \times 63 = 690 \][/tex]

[tex]\[ 255 + 315 = 690 \][/tex]

[tex]\[ 690 = 690 \][/tex]

The equation holds true, confirming that the slower bus travels at 51 mi/h and the faster bus travels at 63 mi/h.

Which expression best estimates -18 1/4 divided by 2 2/3?

18/3
-18/3
-18/(-3)
18/(-3)

Answers

just passed the test its letter b

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

[tex]-18\dfrac{1}{4}\div 2\dfrac{2}{3}[/tex]

We need to find the best estimation:

First we change the mixed fraction into improper fraction:

[tex]-18\dfrac{1}{4}\approx -18[/tex]

and

[tex]2\dfrac{2}{3}=\dfrac{8}{3}=2.6666....\approx 3[/tex]

So, it becomes,

[tex]-18\div3\\\\=\dfrac{-18}{3}[/tex]

Hence, Second option is correct.

0.25 r – 0.125 + 0.5 r = 0.5 + r

solve for r please show steps so i can actually understand.,

Answers

0.25r - 0.125 + 0.5r = 0.5 + r
Step 1: Move all similar terms (r) to the same side of the equation by
subtracting "r" from each side of the equation
0.25r - 0.125 + 0.5r - r = 0.5
Move terms without r to the other side of the equation, by adding +0.125 to each side of the equation
0.25r + 0.5r - r = 0.5 + 0.125
Add similar terms, note that r is equal to 1r
0.75r - 1r = 0.625
-0.25r = 0.625
Solve for r by dividing both sides of the equation by -0.25
r= 0.625/(-0.25)
r=-2.5

Which equation represents y = −x^2 − 10x − 20 in vertex form?

Answers

The vertex is (-5, 5) and the parabola opens downward. The vertex form equation is
.. y = -(x +5)^2 +5

which of the following is the solution to the equation c + (4-3c) - 2 = 0

Answers

c+(4-3c)-2=0
we open the parenthesis
c+4-3c-2=0
-2c+2=0 subtract -2
-2c=-2 multiply by -1
2c=2
c=1

Final answer:

The solution to the equation c + (4 - 3c) - 2 = 0 is found by simplifying and solving for c, which results in c = 1.

Explanation:

To solve the equation c + (4 - 3c) - 2 = 0, we need to simplify and solve for c.

First, we expand the equation:

c + 4 - 3c - 2 = 0

This simplifies to:

-2c + 2 = 0

Next, we isolate c on one side by adding 2c to both sides of the equation:

2 = 2c

Finally, we divide both sides by 2 to solve for c:

c = 1

Therefore, the solution to the equation is c = 1.

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Which president rewarded his supporters with plum government jobs? PLEASE HELP ASAP!!! WILL GIVE BRAINLIEST!!!Two florist purchased flower bouquets and vases at the same store. The first florist bought 2 flower bouquets and 2 vases for a total of $12.50. The second florist bought 8 flower bouquets and 2 vases for a total of $29.00. Let b represent the cost of one flower bouquet and v represent the cost of one vase. Write AND SOLVE a system of equations to find the price of each type of arrangement. SHOW ALL WORK!THANKS FOR ALL YOUR HELP Evaluate the expession. x=12, y=8, z=3 4x-yz carla travels on a high speed train for 30 minutes. If she travels 160 km, how many kilometers will she travel in one hourplz help Because American government follows a pluralistic framework, political parties shift ideologies frequently in order to create competition. divide voters on key issues in order to deter compromises. join alliances with third-party members to garner more power. create coalitions based on broad principles in order to win elections. increase party identification in order to raise money and motivate party members. Unlike the overview module in hootsuite analytics, which offers one set of aggregated analytics data, ___________________ allows you to run an unlimited number of customizable and shareable real-time analytics reports, dialed precisely to the diverse reporting needs of your organization. (x+10)+(3x+2)=180What is x What is the value of the following function when x = 0? adding fractions with denominators of 10 and 100 Which of the following is the image of A after a rotation of -90 about the origin?(0, -2)(0, 2)(-2, 0) What did the term McCarthyism become a catchword for Which was NOT a cause that led to massive riots and demonstrations among Iranians and culminated in the Islamic Revollution in Iran in 1978?AUnder the shah, Iran had become more modern and secular BUnder the shah, Iran had been influenced by the WestCThe Ayatollah gained more followers as he encouraged people in Iran to reject Western influenceDThe gap between the rich and poor decreased as more poeple were working and became wealthy What is an example of "internalizing problems" that results from overcontrol of emotions in early childhood? Brainliest AwardedSee attachment During a laboratory experiment, the average number of radioactive particles passing through a counter in 1 millisecond is 4. what is the probability that 6 particles enter the counter in a given millisecond? Which forearm bone(s) contribute(s) most heavily to the elbow joint? the humerus the carpal bones the ulna the radius? Karim was planning for his vacation to the Bahamas. To cover his costs, he took out a $15,800, 4% simple discount note and paid a $40 bank discount. What was the approximate length of his loan in days? Assume a 360-day year. What is the result of sex cells having mutations during replication Nadia cuts 3 pieces pf equal length from 8 yards of ribbon. How long is each piece? what is a way to discover the authors choices and how they affect the reader.