Find a third-degree polynomial equation with rational coefficients that has roots 4 and 6 + i.
a. x^3 - 8x^2 - 11x + 148 = 0
b. x^3 - 8x^2 - 12x + 37 = 0
c. x^3 - 12x^2 + 37x = 0
d. x^3 - 8x^2 - 11x = 0

Answers

Answer 1

Answer:

I would say A.

Step-by-step explanation:


Related Questions

A ladder of length 6m leans against a vertical wall so that the base
of the ladder is 2m from the wall. Calculate the angle between the
ladder and the wall.

Answers

Answer: sin x = 2/6

x = 0.33

x = 19.5 degrees

Step-by-step explanation:

factor out x^{2}-4x+24

Answers

theres no answer for it

shnaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on saturday he earned at least $160 in all.Write an inequality and find the minimum number of hours to the nearest hour

Answers

Answer:

Write the equation of each inequality. 5. 6 ... What are the smallest values of consecutive integers that will make this true. ... Stan earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday evening. He needs to earn $160 in all. To the nearest hour, what is the least number of hours Stan.

Step-by-step explanation:

Inequalities Exit Ticket Shaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday. He earned at least $160 in all. Write an inequality and find the minimum number of hours, to the nearest hour, ... additional $100 in tips waiting tables on Saturday He earned at least $160 in all

The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.

Given that, Shnaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday he earned at least $160 in all.

What is a inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the number of hours be x.

Now, 7.55x+100≥160

Subtract 100 on both the sides of inequality, that is

7.55x+100-100≥160-100

⇒ 7.55x≥60

Divide 7.55 on both the sides of inequality, that is

7.55x/7.55 ≥ 60/7.55

⇒ x ≥ 7.94

7.94≈8

The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.

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Can someone pls help me to solve 15 and 16 and answer 17 I will mark you the brainly pls I will really appreciate

Answers

Answer:

15) x = 20

16) y = 45°, z = 30°

17) all 4 corners = 90°, all 4 sides are equal length, diagonals are perpendicular, diagonals bisect the corner angles.

We can't do the extra credit because we do not have a relationship about the side lengths. We just have angle information.

Step-by-step explanation:

15) 2x + 8 = 3x - 12

x = 20

16) 2y = 90°

y = 45°

3z = 90°

z = 30°

asdasdasdsadasasdasd

1/3(6z+7.2)=0.5(8z+2)-0.4
A z=0.8
B z=0.9
C z=2.8
D z=3.6
please help

Answers

Answer:

B  z = 0.9

Step-by-step explanation:

1/3(6z + 7.2) = 0.5(8z + 2) - 0.4

Multiply both sides by 6.

12z + 14.4 = 24z + 6 - 2.4

-12z = -10.8

z = 0.9

5 What is the median? 69 4 10 6 10 -5 7 E B Submit​

Answers

Answer:

8

Step-by-step explanation:

10 plus 6 is 16

divide by 2

you get 8

10 since it has double

Convert the following angle from degrees to radians. Express your answer in simplest
form.
375°

Answers

Answer:

25 π /12  radians

Step-by-step explanation:

To convert degrees to radians, multiply by  π /180 , since a full circle is  

360  or  2 π  radians.

Cancel the common factor of  15  

Factor  15  out of  375

15 (25).  π/ 180  radians

Factor  

15  out of  180  

15.  25 ⋅ π/ 15 ⋅ 12  radians

Cancel the common factor.

15

⋅ 25 ⋅ π/ 15 ⋅ 12  radians

Rewrite the expression.

25 ⋅ π/ 12  radians

Combine  

25  and   π /12  

25 π /12  radians

N is between A and X. AN = 2x + 1, NX = 3x, and AX = 21. what is AN?

Answers

Answer:

AN = 9

Step-by-step explanation:

so we can imagine this in a line like:

A---------------N---------------X

Step 1 : solve for x

AX=21 (our total)

because we know that AN+NX together makes AX, we put that into an equation

AN + NX = AX

(2x+1) + (3x) = 21

2x + 1 + 3x = 21  <-- subtract 1 from both sides

2x + 3x = 20  <-- add 2x +3x

5x = 20   <-- divide 5 from both sides

x = 4

Step 2 : input x into AN

AN = 2x + 1  <-- input 4 for x

AN = 2(4) + 1  <-- simplify from there

AN = 9

how many apples would be left?

Answers

Hello!

Lets tackle each section separately!

So Robin gives the first group [tex]\frac{1}{8}[/tex] of the apples.

To find how many apples that is in standard form, we divide 40 by 8.

40 ÷ 8 = 5.

So the first group ate 5 apples.

The second group ate 4 apples.

We do not have to calculate anything since it is already in standard form.

The third group ate 20% of the apples.

To find 20% of forty we can multiply 40 by 0.20, since 0.20 is the decimal equivalent of 20%.

40 × 0.20 = 8.

The last group of children ate 8 apples.

Now we add each groups apple intake together.

5 + 4 + 8 = 17.

Finally, we subtract 17 from 40.

40 - 17 = 23.

There were 23 apples left.

waffletowne

A sound wave is traveling at 6,420m/s and has a frequency of 600Hz. What is the wavelength?

Answers

Answer:

10.7 m

Step-by-step explanation:

Given that,

The speed of a sound wave, v = 6,420 m/s

The frequency of the wave, f = 600 Hz

We need to find the wavelength of the wave. We can find it using the below relation as follows :

[tex]v=f\lambda\\\\\lambda=\dfrac{v}{f}\\\\\lambda=\dfrac{6420}{600}\\\\\lambda=10.7\ m[/tex]

So, the wavelength of the sound wave is equal to 10.7 m.

There are 2 1/2 cups of milk left in a carton. Write 2 1/2 as an improper fraction.

Answers

5/2. multiply the 2 and 2 and add the extra 1/2 that was already there.

Answer:

the answer is 2 1/2

Step-by-step explanation:

I don't know I just do lol

Are the expressions 24 42 equal? Explain your answer.​

Answers

no they are not equal

24= 2 tens 4 ones

42= 4 tens 2 ones

hence they are not equal

hope this helps and pls mark brainliest I just need 1 more to progress on to the next level:)

Answer:

no not at all

Step-by-step explanation:

not the same number

Los términos 32 , 16 , 8 , 4 ................, representan una PG .Calcular a) R b) El término décimo c) La suma de los 10 primeros términos

Answers

Respuesta:

T₁₀ = 1/16

S₁₀ = 63,9375

Explicación paso a paso:

Dado el término de un médico de cabecera como 32, 16, 8, 4 ...

El enésimo término de un médico de cabecera se expresa como;

Tn = arⁿ⁻¹

a es el primer término

r es la razón común

n es el número de términos

Dado

a = 32

r = 16/32 = 8/16 = 4/8 = 1/2

n = 10 (ya que necesitamos el décimo término de la secuencia)

Sustituir en la fórmula;

Tn = arⁿ⁻¹

T₁₀ = 32 (1/2) ¹⁰⁻¹

T₁₀ = 32 (1/2) ⁹

T₁₀ = 32 (1/512)

T₁₀ = 32/512

T₁₀ = 1/16

Por lo tanto, el décimo término de la secuencia es 1/16.

La suma de un GP se expresa como se muestra;

Sₙ = a (1-rⁿ) / 1-r para r <1

S₁₀ = 32 (1- (1/2) ¹⁰) / 1-1 / 2

S₁₀ = 32 (1-1 / 1024) / 1/2

S₁₀ = 64 (1 - 1/1024)

S₁₀ = 64 (1023/1024)

S₁₀ = 63,9375

por lo tanto, la suma de los primeros diez términos es 63,9375

PLEASE HELP ME!! I really need help!!
Find the height of the tree in the diagram below(Round to the nearest foot).


Answers

Answer:

21 ft

Step-by-step explanation:

Tan(32) = x/34

34tan(32)=x

x= 21.245...

x=21


PLEASE LOOK AT THE PICTURE I REALLY NEED HELP AND ILL APPRECIATE IT IF SOMEONE HELPS ME

Answers

A,B,D
!!!!!!!!!!!!!!!!!!!!!!!!!!!

How many​ flowers, spaced every 4 ​in., are needed to surround a circular garden with a ​200-ft ​radius? Use 3.14 for π.

Answers

Find the circumference of the circle:

Circumference = 2 x r x pi

Circumference = 2 x 200 x 3.14

Circumference = 1,256 feet.

4 inches/ 12 inches per foot = 0.333 ft.

Divide the circumference by the spacing:

1255/0.333 = 3,768

You will need 3,768 flowers

HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT

Answers

Answer: x=0.25

Step-by-step explanation: 1−8x=−16x2

Simplify both sides of the equation.

−8x+1=−16x2

Subtract -16x^2 from both sides.

−8x+1−−16x2=−16x2−−16x2

16x2−8x+1=0

16x2+−8x+1=0

Use quadratic formula with a=16, b=-8, c=1.

x=

−b±√b2−4ac

2a

x=

−(−8)±√(−8)2−4(16)(1)

2(16)

x=

8±√0

32

x=0.25

the vehicle probability of tossing two heads when tossing a pair of coins is 0.25 when the pair of coins was cost 20 times two heads came up only two times which procedure would result in experimental probability that is closer to the theoretical probability

toss the coin more than 20 times


tossed three coins instead of three coins


count only those tosses that result in two heads or two tails


toss the coins fewer than 20 times​

Answers

Answer:

A

Step-by-step explanation:

Answer: a

Step-by-step explanation:

What changes when the parent function [tex]f(x)=x^2[/tex] is stretched by a positive factor?

Answers

9514 1404 393

Answer:

vertical stretch: the function value (f) is multiplied by the stretch factorhorizontal stretch: the variable (x) is divided by the stretch factor

Step-by-step explanation:

A stretch can be vertical, horizontal, or both.

Multiplying the function value by a factor greater than 1 will stretch the graph vertically.

Dividing the variable value by a factor greater than 1 will stretch the graph horizontally.

__

The graph is stretched by the factor according to how it is applied.

what is the mean absolute deviation and standard deviation of 2,4,6,9,14

Answers

Answer:

7

Step-by-step explanation:

Mean is all of your numbers added up and then divided by the amount of numbers in total there are. So 2+4+6+9+14 = 35 35÷5 = 7

Hope this helped <3

Determine if 64 is a multiple of 2. Explain how you know. Also, determine if 64 is a prime or composite

Answers

Answer:

64 is a multiple of 2 | 64 is a composite

Step-by-step explanation:

Composite numbers are even numbers

2x32 =64

2+2+(Do it 32 times)

What’s the answer to this

Answers

Answer:

75

Step-by-step explanation:

i hope

the answer is 75.....

Which of the following terms correctly describe the figure given below
CHECK ALL THAT APPLY
A. Prism
B. Polygon
C. Pyramid
D. Polyhedron
E. Cube
F. Solid​

Answers

Answer:

It’s polyhedron prism and solid

Step-by-step explanation:

It’s polyhedron prism and solid

The given figure is a polyhedron, solid and a prism.

What is a polyhedron?

A polyhedron is a three-dimensional geometry having plane surfaces connected together with sharp edges and pointed vertices.

The given figure in the question is a triangular prism and also a polyhedron having six surfaces connected together by edges and vertices.

Therefore the given figure is a polyhedron, solid and a prism.

To know more about Polyhedrons follow

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Please help.




Combine like terms to find an equivalent expression -5x - 7x + 3 + 2x - 8

Answers

Answer:

[tex] - 5x - 7x + 2x + 3 - 8 \\ - 12x + 2x - 5 \\ - 10x - 5[/tex]

Answer:

-10x - 5

Step-by-step explanation:

-5x - 7x + 3 + 2x - 8

= -5x - 7x + 2x + 3 - 8

= -10x - 5

Help helps
Help help help help meeeee

Answers

The result of the reflection is that the triangle moved from quadrant one to quadrant 2 and is a mirrored copy of the original.
I hope this helps!

Answer:

Just a mirror image of the triangle over the y-axis.

Step-by-step explanation:

The y coordinates remain the same but x coordinates become positive when triangle is reflected over y-axis.

Solve using substitution x=-6 6x+10y=14

Answers

Answer:

(-6 , 5)

Step-by-step explanation:

6x + 10y = 14

6(-6) + 10y = 14

-36 + 10y = 14

10y = 50

y = 5

what is the x and y intercept of y=6x+13

Answers

Answer: x-intercept(s):  

(-13/6,0)

y-intercept(s):

(0,13)

Step-by-step explanation:

Help. Jim runs 10 miles in 85 minutes. At the same rate, how many minutes would he take to run 8 miles?

Answers

Answer:

68 minutes, 1 mile every 8.5 minutes

Step-by-step explanation:

:)

what number should come next in the pattern 1,2,3,5,8​

Answers

Since you add 1+1 that equals 2 when it starts then 1+2 that equals 3 then 2+3 equals 5.
So that means 5 plus 8 equals 13.
It’s a simple pattern.

If 44% of the students in a certain collage are female and there are 2640 female students what is the total number of students in the total students

Answers

Answer:Total number of students=6000 students

Step-by-step explanation:

Number  of female students =2640

Percentage of female students=44%

But

Percentage of female students x Total number of students =Number  of female students

Therefore

Total number of students=Number  of female students / Percentage of female students

Total number of students=2640/44% =6000 students

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