If a polynomial function f(x) has roots 0, 4, and 3 + StartRoot 11 EndRoot, what must also be a root of f(x)?

Answers

Answer 1

Answer:

3 - √11

Step-by-step explanation:

If the polynomial function has rational coefficients, then the missing root must be conjugate with 3 + √11, which is achieved by reversing the sign of root:

3 - √11

Answer 2

[tex] \LARGE{ \underline{\underline{ \purple{ \bf{Required \: answer:}}}}}[/tex]

Since 3 roots are rational but one of the four is irrational. Then, there must be a conjugate pair for that which we can do by reversing the sign between the rational and the non-rational part.

Hence, Another root of the polynomial function f(x) will be ofcourse the conjugate pair of 3 + √11 i.e. 3 - √11 (Ans)


Related Questions

Brainliest % stars Thanks Correct answers Fast

Answers

Answer:

I remember taking this it should be A

Step-by-step explanation:

PLZZZZ HELP ME!!!!! factor 15x + 81

Answers

Answer: 3(5x+27)

Step-by-step explanation:

15 and 81 are both divisible by 3.

Answer:

-5.4

Step-by-step explanation:

x= -81/15= -5.4

tell whether this sequence is arithmatic. If it is, what is the common difference. 10, 15, 21, 28

Answers

Answer:

No this is not arithmetic this is geometric

Step-by-step explanation:

10 to 15 is a increase of 5

15 to 21 is a increase of 6

21 to 28 is a increase of 7 arithmetic have to have steady increases

Answer:

Hola!

Step-by-step explanation:

PLEASE HELP 15 POINTS...PLEASE HELP

Answers

Answer:

Slope: -1/4, y-intercept: -2.

Step-by-step explanation:

The line intersects the y-axis at -2. This means that the y-intercept is -2. The slope is -1/4 because since the slope is rise over run, you go up one and then to the left 4 from the y-intercept. When you do this you see that from both A to B, you will end up on the same line.

Hope this helps!

Answer:

C

Step-by-step explanation:

slope = -1/4

y-intercept = -2

someone plsssssss help me with this​

Answers

Answer:

99 ÷ 9 equal 11

Step-by-step explanation:

99 ÷ 9 = 11. yeah

Find the value y from the given figure

Answers

Answer:y=28

Step-by-step explanation:

40+3y+2y=180

Subtract 40

3y+2y=140

Combine like terms

5y=140

Divide

y=28

Michael is paid by the hour and gets overtime (OT) for every hour over 40.Last week he worked 52 hours. How many hours of OT did he get?*
A. 38
B. 92.
C. 26
D. 12​

Answers

Answer:

12

Step-by-step explanation:

52 minus 40

A ?
B?
C ?
D?
PLEASE

Answers

C that is the right answer

See below I have take a picture of the screen

Answers

I think it’s D. Sorry if it’s no help but I think it’s D.

Tomb trees are standing side-by-side in the sunlight one is 50 feet tall and the other is 20 feet tall if the taller tree cast an 18 foot shadow what is the length in feet of the shadow of the shorter tree

Answers

Answer: Length of shorter tree = 7.2 feet .

Step-by-step explanation:

Given : Height of two trees as 50 feet and 20 feet.

At same time the angle made by sun rays would be same for both trees.

Both trees are vertical to the ground making right angle so triangles made by both triangles must be similar.

Corresponding sides of similar triangles are proportional.

So [tex]\dfrac{\text{length of the shadow of the shorter tree}}{\text{height of shorter tree}}=\dfrac{\text{length of the shadow of the bigger tree}}{\text{height of bigger tree}}\\\\=\dfrac{\text{length of the shadow of the shorter tree}}{20}=\dfrac{18}{50}\\\\\Rightarrow\ \text{length of the shadow of the shorter tree}=\dfrac{18}{50}\times20\\\\\Rightarrow\ \text{length of the shadow of the shorter tree} = 7.2[/tex]

So, Length of shorter tree = 7.2 feet .

How far from the door must a ramp begin in order to rise 3 feet with an 8 degree angle of elevation

Answers

Answer:

Step-by-step explanation:

We know that the angle of elevation is 8 degrees.

We know that the height of the opposite side of the angle is 3 feet.

We want to know the adjacent side (the side from the start of the ramp to the bottom of the opposite side)

We can do this with tangent

[tex]tan(8) = \frac{3}{adj} \\adj = \frac{3}{tan(8)} \\adj = 21.34611 feet[/tex]

The distance between the ramp and the door can be calculated using the principle of Pythagoras, Hence, the distance should be 21.34 feets

Angle of elevation = 8°Rise = opposite = 3 feets Distance, d = adjacent

Using SOHCAHTOA :

Tanθ = Opposite / Adjacent

Tan(8°) = 3 / d

0.1405408 = 3 / d

0.1405408d = 3

Divide both sides by 0.1405408 to isolate d

0.1405408d / 0.1405408 = 3 / 0.1405408

d = 21.34 feets

Therefore, the distance of the ramp from the door should be 21.34 feets

Learn more : https://brainly.com/question/14991482

Plz Help guys with this question please!!!

Answers

Answer:

-3+5+6g=11-3g
2+6g=11-3g
6g+3g=11-2
9g=9
9g/9=9/9
g=1

The triangles below are similar from A to B. What is the scale factor? *
5/4
3/5
2/3
4/5

Answers

Answer:   The scale is 5/4

Step-by-step explanation:

To determine the scale factor, you have to locate which sides are similar to each other .

the side length with 20 is congruent to 16

15 is similar to 12    and 10 is similar to 8.

And to get from triangle A to triangle B of any side length, we need to multiply by a certain number which is the scale factor.

And to  find that number we will divide the side length of any side in triangle A  by the similar side to it in triangle B.

   

20/ 16 = 5/4

15/ 12 =  5 / 4

10 / 8 = 5/4

The answer would be 5/4 :)

QUICK ANSWER PLEASE
In triangle NLM, point S is the centroid, QS = (3x – 5) cm, and NS = (4x) cm.

Triangle N L M has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N Q, L R, and M P. The length of line segment N S is 4 x and the length of line segment S Q is 3 x minus 5.

What is NS?


5 cm

10 cm

20 cm

30 cm

Answers

30cms lol I think haha

45,60
8, 16, 32
PJ
n) 60, 90, 120 o)
Find the least (smallest) number which is exactly divisible by 12 and 16.
Find the smallest number which is exactly divisible by 24 and 36.
Find the smallest numharthotic divided by 26 and 49 without leaving​

Answers

Answer:

Step-by-step explanation:

I don't understand what the numbers before the language mean. I will answer the questions that have a definite language.

12 = 2 * 2 * 3

16 = 2 * 2 * 2 * 2

The answer is going to require you have 4 fours and one 3

2 * 2 * 2 * 2 * 3 = 48

24 = 2 * 2 * 2 * 3

36 = 2 * 2 * 3 * 3

The answer is going to require two threes and three 2s

2 * 2 * 2 * 3 * 3 = 72

What is this word  numharthotic

26 = 2 * 13

49 = 7 * 7

The smallest number that can be divided by both with no remainder is

2 * 7 *7 * 13 = 1276

The first side of a triangle is 8 inches shorter than the second side. The third side is 4 times as long as the first side. The perimeter is 44 inches. What is the length of the longest side?

Answers

Answer:

i think it's 12 if i did that correctly lmk if it's wrong.

Step-by-step explanation:

I Need help please!!!

Answers

Just use substitution, y intercept is 3 so it would be 3= -2(5) I’m not an expert but I tried.

BRO CAN SOMEONE HELP PLEASE THIS HARD HELP I NEED THIS IN THE NEXT FEW MINS Ali deposits her weekly paycheck of $412.60 and withdraws $40 cash from her bank account each week. If her starting balance was $315.85, what is her balance after 3 weeks?

Answers

Answer: 1433.65

Step-by-step explanation:

315.83+412.60 +412.60 +412.60 -40 -40 -40= 1433.65

PLEASE ANSWER ASAP WILL GIVE BRAINLEIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which solution will create a proportional relationship for the following proportion?
4/r 5/20
A. r= 16
B. r= 5
C. r= 10
D. r=20

Answers

Answer:

r = 16

Step-by-step explanation:

Cross multiply:

4 x 20 = r x 5

Simplifying

4 x 20 = r x 5

Multiply 4 x 20

80 = r x 5

Reorder the terms for easier multiplication:

80 = 5r

Solve

80 = 5r

Solve for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-5r' to each side of the equation.

80 + -5r = 5r + -5r

Combine like terms: 5r + -5r = 0

80 + -5r = 0

Add '-80' to each side of the equation.

80 + -80 + -5r = 0 + -80

Combine like terms: 80 + -80 = 0

0 + -5r = 0 + -80

-5r = 0 + -80

Combine like terms: 0 + -80 = -80

-5r = -80

Divide each side by '-5'.

r = 16

Simplify

r = 16

Find the x-intercept and y-intercept
from the following linear equation:
D x + 4y = -56
x-intercept ([?],[]).
y-intercept (I):[])

Answers

Step-by-step explanation:

x intercept is when y = 0 and y intercept is when x = 0 hence, x intercept is : x = -56 hence (-56, 0) and y intercept is: 4y = -56 y = -14 hence (0, -14)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Find f(4) if f(x)=−3x2+11x+37

Answers

Hi there!

[tex]\large\boxed{f(4) = 33}[/tex]

f(x) = -3x² + 11x + 37

Substitute in 4 for x to find f(4):

f(4) = -3(4)² + 11(4) + 37

f(4) = -3(16) + 44 + 37

f(4) = -48 + 44 + 37

f(4) = 33

f(4) = -3(4)^2 + 11(4) + 37
-3(16) + 44 + 37 = -48 + 44 + 37
f(4) = 33

Can someone help me out

Answers

Answer:

it is D

(1.5-6)/-2-4 =0.75

In ΔSTU, the measure of ∠U=90°, ST = 33 feet, and US = 20 feet. Find the measure of ∠T to the nearest tenth of a degree.

Answers

Answer:

37.3°

Step-by-step explanation:

sin β = [tex]\frac{20}{33}[/tex] ⇒ β = arcsin [tex]\frac{20}{33}[/tex] = 37.3°

Hi everyone 20 point giveaway!

Would you rather be allergic to chocolate or you have to be broke for the rest of your life?
I will be doing more giveaways, stay tuned!

Answers

Answer:

Allergic to chocolate

Step-by-step explanation:

I don't really eat chocolate that much lol.

Answer:

Well i think i would rather be alergic to chocolate

Step-by-step explanation:

There were 12 girls on the basketball team. 3 of them scored over 10 points in the game. What fraction represents the number of the girls on the team that scored over 10 points in the game? Explain how you got your answer.

Answers

Answer:

1/4

Step-by-step explanation:

The total number of girls on the team is 12

3 scored over 10 points

The fraction scoring over 10 points will be 3/12 = 1/4

The answer was obtained by dividing the number of girls who scored over 10 points by the total number of girls on the team

We then proceeded to write our answer in a fraction form

Answer:

1/4.

Step-by-step explanation

Since 3 of them scored over 10 points in the game, and there were 12 girls. You have to divide 12 by 3, which equals 1/4.

7 3 ​ = 14 h ​ − 7 2

Answers

Answer:

10.357

Step-by-step explanation:

h=145 =10.357

14

hope this helps:)

H = 10.3 or 10

*Solution*
Add 72 to 73 = 145 divide 145 by 14 = 10.3

On a coordinate plane, a line goes through points (1, 9) and (4, 3).
What is the slope of a line that contains the points (1, 9) and (4, 3)?

Answers

Answer:

yes

Step-by-step explanation:

l,l,;,;,;,;l,;,;

The slope of the line that contains the point (1,9) and (4,3) would be -2.

can you tell me the answer please?​

Answers

Answer:

This graph is not a function.

Step-by-step explanation:

For every x value, it has more than one y value. The graph also doesn't pass the vertical line test.

Answer:

Not a function

Step-by-step explanation:

It fails the vertical line test. 2 points can not cross on this test

Jeff ran 6 miles in 4 hours. At this rate, how many miles will he run in 6 hours

Answers

Answer:

he ran 9 miles in 6 hours

Step-by-step explanation:

trust me

pls mark me as brainliest

Answer:
9 mi

Step-by-step explanation:

Step 1. Calculate the rate.
rate = distance/time
r = d/t = 6 mi/4 h
===============
Step 2. Calculate the time.
r = d/t Multiply both sides by t
d = tr
t = 6 h Calculate the distance
d = 6 × 6/4
d = 36/4
d = 9 mi
Jeff will run 9 mi in 6 h.

Identify the key components and write an inequality for each graph:

Answers

Answer:

b= (0,3)

m= 2/3

inequality= y < 2/3x+3

Step-by-step explanation:

b is the y-intercept. the way to find the y-intercept is looking where the line ends up on the y line. m is the slope. the trick to finding the slope is to choose two points and go up then go to the side where the point is. it forms a triangle. count how much it went up and how much you went to the side. then make it rise over run. the inequality works that way since y is 2/3 of x.

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