I am extremely confused. Any help?​

I Am Extremely Confused. Any Help?

Answers

Answer 1

Answer:

(x-4)(5x³+18x²+54x+215)+860

Step-by-step explanation:

This follows that when the fourth degree polynomial is divided by the monomial(x-4),it gives a third degree polynomial and some remainder r

That is:

5x⁴-2x³-18x²-x/x-4=(ax³+bx²+cx+d)+r

if so,then

5x⁴-2x³-18x²-x=(x-4)(ax³+bx²+cx+d)+r

5x⁴-2x³-18x²-x=ax⁴+bx³+cx²+dx-4ax³-4bx²-4cx-4d+r

5x⁴-2x³-18x²-x=ax⁴+x³(b-4a)+x²(c-4b)+x(d-4c)-4d+r

We can now equate the similar terms thus,the terms with the same power of x on both sides

5x⁴=ax⁴,a=5

Again,

b-4a=-2,but a=5

b-4(5)=-2

b-20=-2

b=18

Again,

c-4b=-18(but b=18)

c-4(18)=-18

c-72=-18

c=54

Again,

d-4c=-1(but c=54)

d-4(54)=-1

d-216=-1

d=215

Finally,

-4d+r=0(but d=215)

-4(215)+r=0

r-860=0

r=860

This means that when 5x⁴-2x³-18x²-x is divided by x-4,it gives5x³+18x²+54x+215 with a remainder of 860

Now rewriting it in the form as required by the question=(x-4)(5x³+18x²+54x+215)+860


Related Questions

What is the value of - |-60|?

Answers

Answer:

-60

Step-by-step explanation:

because the abousulte value at first is 60 and then you multiple it by the negative that's there

Answer:

-60

Step-by-step explanation:

first you do inside the absolute it has to be positive

so it`s 60

but the outside is negative

so the answer must be -60

I really think it’s a good question and my homework

Answers

Answer:

77.245 i used me brane and paper and give brainliest and your in shcool why why why cheat

Step-by-step explanation:

Answer:

680.745

Step-by-step explanation:

hope this helps.

In the figure shown below, lines j and k are parallel. Which equation can be used to find the value of x in the figure?

Answers

Answer:

Step-by-step explanation:

D  b/c you know that the two angles add to 180°

The solution is Option D.

The value of x can be calculated from the equation

( x + 40 ) + ( 2x + 20 ) = 180

What are Parallel Lines Cut by Transversal?

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles

Given data ,

Let the parallel lines be j and k

The transversal line is m

Now , the value ( 2x + 20 )° lies on one side of the transversal line

And the value ( x + 40 )° lies on one side of the transversal line

The total angle of a line is 180°

So ,

The sum of ( 2x + 20 )° and ( x + 40 )° will be 180°

Therefore , The solution is ( x + 40 ) + ( 2x + 20 ) = 180

Hence , The value of x can be calculated from the equation

( x + 40 ) + ( 2x + 20 ) = 180

To learn more about angles in parallel lines click :

https://brainly.com/question/28182928

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Consider a sample with data values of 9, 20, 17, 21, 16, and 13. Round your answers to 1 decimal place.

a. Compute the mean.
b. Compute the median.

Answers

Answer:

16 ; 16.5

Step-by-step explanation:

Given the data:

X = 9, 20, 17, 21, 16, 13

1.) The mean of the data:

Σ(X) / n

n = sample size ; n = 6

(9 + 20 + 17 + 21 + 16 + 13) / 6

= 96 / 6

= 16

2.) The median :

Rearranged data : 9, 13, 16, 17, 20, 21

1/2 (n + 1)th term

1/2 (6 + 1)th term

1/2 (7) th term

The 3.5 th term is the median:

(3rd + 4th) / 2

(16 + 17) / 2

33 /2 = 16.5

can someone explain how 1/4 × 900/1 is equal to 225, my mom is asking for an explanation and I used a calculator help me ​

Answers

Answer:

See below

Step-by-step explanation:

[tex] \frac{1}{4} \times \frac{900}{1} \\ \\ = \frac{1 \times 900}{4 \times 1} \\ \\ = \frac{900}{4} \\ \\ = \frac{9 \times \cancel {100} }{\cancel4} \\ \\ = 9 \times 25 \\ \\ = 225[/tex]

Answer:

four of 225 makes 900/1, or 900. So, one 225 should be one of the four 225s that equal 900. 1/4 × 1/900, or 1/4 of 900, should be 225.


help pleaseee! with geometry

Answers

Answer:

2x(x+6)(x-6)

Step-by-step explanation:

2x³-72

2x(x²-36)

2x(x+6)(x-6)

the grade point average for 10 students are listed below. find the range of the data set.
0.8, 0.9 1.8, 2.0, 2.9, 3.2, 3.3 ,3.6, 4.0

Answers

Answer:

might be 22.5 i think but i'm not sure correct me if i'm wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

the range is the difference between the largest and the smallest value

4.0-0.8=3.2

help with geometry pleasee

Answers

Answer:

Angle E

Step-by-step explanation:

HELP ME PLZ

Two parallel lines are cut by a transversal as shown below.
Suppose mZ1 = 121°. Find m2 6 and m2 7.
m26 = Me
HL7 =

Answers

Step-by-step explanation:

hope this will help you.....

Answer:

m angle 6 = (180°-121°) =59°m angle 7 = 121°

If the balance at the end of eight years on an investment of $196 that has been invested at a rate of 9% is $337.12, how much was the interest

Answers

Answer:

$141.12

Step-by-step explanation:

Initial investment = $196

After 8 years with 9% interest rate it becomes: $337.12

The amount of interest will be:

= $337.12 - $196

= $141.12

The repeating decimal, 0.ModifyingAbove 27 with bar, is converted to the fraction 0.ModifyingAbove 27 with bar = StartFraction 3 Over x EndFraction.


What is the value of x in the fraction?

Answers

9514 1404 393

Answer:

  x = 11

Step-by-step explanation:

A 2-digit repeating decimal fraction will have two 9s as the denominator. In this case the fraction can be reduced.

  [tex]0.\overline{27}=\dfrac{27}{99}=\dfrac{3}{11}[/tex]

Comparing this to 3/x, we see that x = 11.

Answer:

11

Step-by-step explanation:

sorry if im wrong

What is the answer? I need help quick!

Answers

Answer:

Point B

Step-by-step explanation:

-6 is to the left from origin and π/12 is in between 0 and π/6 above the x-axis. So the point (-6, π/12) is in the second quadrant.

Other points represent coordinates of:

A=(6, π/12), C=(-6, -π/12), D=(6, -π/12)

This is point B and correct choice is option B.

9514 1404 393

Answer:

  point C

Step-by-step explanation:

The given coordinates (-6, π/12) are equivalent to (6, 13π/12). That is, the negative radius is equivalent to a positive radius in the opposite direction (angle different by π radians).

The point on the diagram with coordinates (6, 13π/12) is point C.

A town in east Texas received 10 inches of rain in two DAYS. If it kept raining at this rate for a 31 day month, how much rain did the town receive? 11​

Answers

Answer: 155 inches

This is equivalent to approximately 12.917 feet.

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

Work Shown:

(10 inches)/(2 days) = (x inches)/(31 days)

10/2 = x/31

10*31 = 2*x ... cross multiply

310 = 2x

2x = 310

x = 310/2

x = 155

Keep in mind that this water is being drained on a fairly continuous basis. This means that not all of the water is sticking around (we'd hope not anyway) at the same moment in time.

Note: 155 inches = 155/12 = 12.917 feet approximately.

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

Alternative method:

If the town got 10 inches in 2 days, this means it rains at a unit rate of 10/2 = 5 inches per day.

Multiply that by 31 days and we get 5*31 = 155 inches of total rain.

3 tiles are red 6 tiles are green 3 tiles are blue a tile will be randomly selected from the bag. What is the probability that the tile selected will be green?

Answers

Answer:

80 percent

Step-by-step explanation:

Because there are green tiles so the possibility is 80 percent

1. Yejin plans to retire at age 60. She wants to create an annuity fund, which will pay her a monthly allowance of $4000 during her retirement. She wants to save enough money so that the payments lasts for 30 years. A financial advisor has told her the she can expect to earn 5% interest on her funds, compounded annually.

2. Yejin has just turned 28 years old. She currently has no retirement savings. She wants to save part of her salary each month into her annuity fund. Calculate the amount Yejin needs to save each month, to meet her retirement goal.

Answers

9514 1404 393

Answer:

  $3891.10

Step-by-step explanation:

This question is a bit unusual in that the interest is compounded annually, but payments and withdrawals are made monthly. The effective monthly rate is ...

  1.05^(1/12) -1 = 0.407412378% = i

We assume that payments to the annuity are made at the end of the month, and that withdrawals are made at the beginning of the month. (The last payment and the first withdrawal are made on the same day.)

The amount of money required in the fund is ...

  A = $4000(1 -(1.00407^-360))/(1 -1.00407^-1) = $757,712.88

The amount of money needed each month to be put into the fund is P, where ...

  $757,712.88 = P(1 -1.00407)^(-12(60-28))/(1 -1.00407^-1) = 194.7297P

  P = $757,712.88/194.7297 = $3891.10

Yejin needs to save $3891.10 each month to meet her retirement goal.

_____

Sanity check

Yejin wants payments for 30 years from the fund to which she has contributed for 32 years. The similarity of the time periods means that Yejin's monthly contribution will need to be very similar to the amount she plans to withdraw.

The only ways to reduce the required contribution are to earn a higher interest on deposits, or to adjust the relative time periods (retire later).

Please help! I’m begging you. Give the answers!

Answers

Answer:

4lb and 6oz

Step-by-step explanation:

number one is

4lb and 6oz is the answer to number 1

Find the slope of the line that contains the following points:

(5, 4) and (3, -4)

Answers

Answer:

slope = 4

Step-by-step explanation:

y2-y1/x2-x1 = slope

-4 - 4 / 3 - 5 = slope

-8/-2 = slope

8/2 = slope

4/1 = slope

4 = slope

HELP ME PLS I REALLY NEED HELP THIS MAH LAST QUESTION

Answers

Answer:

number 1

Step-by-step explanation:

PLEASE ANSWER! WILL GIVE BRAINLIEST!
ardith has 3/71 x 10^7 bytes of space remaining on a flash drive. she needs to copy some files each of which is about 8.2 x 10^4 bytes in size, onto the flash drive. about how many files can ardith copy onto the flash drive?

Answers

Answer:

5

Step-by-step explanation:

Given that:

Space left on flash drive = 3/71 * 10^7 bytes = 0.0422535 * 10^7 = 422535.21 bytes

Size of each file = 8.2 * 10^4 bytes = 82000 bytes

Number of files that can be copied :

(422535.21) / (82000)

= 5.1528684

Number of files that can be copied = 5 files

What is the value of the expression? (10 1/4 +61) – (3 3/5 - 3 1/2) Enter your answer in the box as a mixed number in simplest form.​

Answers

Answer:

71 3/20

Step-by-step explanation:

This is easy. The first step here is to simplify the numbers inside the parentheses.

10 1/4 + 61 = 71 1/4

3 3/5 - 3 1/2 = 3 6/10 - 3 5/10 (We needed to get both with like denominators, so we raised the fractions to an equivalent denominator.)

3 6/10 - 3 5/10 = 1/10

Now, we will do the operation outside of the parentheses.

71 1/4 - 1/10 = 71 5/20 - 2/20  = 71 3/20

Answer is 71 3/20

Find the result when 5m+2 is subtracted from 9m

Answers

Answer:

6m

Step-by-step explanation:

9m - (5m-2) =

5m-2= 3m

9m - 3m= 6m

Please give Brainliest if it helped.

An armount of nitrogen undergoes a physical change and increases its volurme, What can be knoW) about this
physical change?
O The boiling point of the nitrogen increased.
O The mass of nitrogen increased.
O The color changed.
O The density changed.

Answers

Answer:

d

Step-by-step explanation:

Which points are on the graph of g(x) = (1/5)^x
Choose all answers that are correct.
A.(-1,5)
B.(3,1/125)
C.(1,0)
D.(-2,1/25 )

Answers

Answer:

A) The point( -1 , 5)  is satisfies the  given graph  [tex]g(x) = (\frac{1}{5} )^{x}[/tex]

B) The point( 3 , 1/125)  is satisfies the  given graph  [tex]g(x) = (\frac{1}{5} )^{x}[/tex]

Step-by-step explanation:

Explanation:-

Given graph  

               y =      [tex]g(x) = (\frac{1}{5} )^{x}[/tex]

Put the point ( -1 , 5)

Put y =5 and x =-1

            [tex]5 = (\frac{1}{5} )^{-1} = 5[/tex]

The point( -1 , 5)  is satisfies the  given graph

ii)

Given graph  

               y =      [tex]g(x) = (\frac{1}{5} )^{x}[/tex]

             [tex]\frac{1}{125} = (\frac{1}{5} )^{3} = \frac{1}{125}[/tex]

The point( 3 , 1/125)  is satisfies the  given graph  [tex]g(x) = (\frac{1}{5} )^{x}[/tex]

                 

Which expression is equivalent to 33.63. 23 without exponents?
A. 3+3+3+6+6+6+2+2+2
B. 3x3x3x6x6x6x2x2x2
C. 9+18+6
D. 9x18x6

Answers

Yeah, what they said.

you need to raise at least $400 in order to go on a field trip. you are selling magazines for $12 each. you have already raised $124. how many magazines must you sell to meet your goal? write, solve and graph the inequality for this situation.

Answers

Answer:

44 magazines need to be sold

Step-by-step explanation:

Y=Mx+b

400=12x-124

524=12x

43.6667 or 43 (2/3)

round up since you cant sell 2/3 of a magazine

Answer:

the inequality is 124+12x≤400

Step-by-step explanation:

x=23

hope this helps

HELP PLZZZ ASAP THNAKS

Answers

Answer:

x = 40

Step-by-step explanation:

x + 2x + 6 = 126

3x + 6 = 126

3x = 120

x = 40

calculate the nth term for the following sequences:
1: 3,6,12,24,48
2: 4,9,16,25,36,49
3: 5,10,17,26,37,50
4: 8,3,-2,-7,-12
5: 6,11,18,27,38,51

Answers

Answer:

1:96

2:64

3:65

5:66

Answer:

1:56...................

What is the difference in height between the shortest and longest candy bars?

Answers

Answer:

1.5 inches

Step-by-step explanation:

The number of points scored by a basketball player in the first eight games of a season are shown below. 15, 35, 18, 30, 25, 21, 32, 16 What would happen to the data distribution if she scored 24, 22, 27, and 28 points in her next four games?

Answers

Answer:

im not sure how the data should be interpreted but here is the distribution. It goes up by .416

Step-by-step explanation:

the average of the first 8 games is 24

the average of the 12 games is 24.416

A trombone acts like an open pipe of length 2.96 m .On a cold day it plays,its 4th harmonic at 221 hz what is the speed of the sound waves in the horn that day?

Answers

Answer:

327.08 m/s

Step-by-step explanation:

Given that:

Length of pipe = 2.96m

4th harmonic frequency = 221 Hz

Speed of wave in the horn :

Speed of wave (v) = fλ

For 4th harmonic :

Wavelength, λ = (2/4)L

λ = L/2 ; 2λ = L

2λ = 2.96

λ = 2.96 / 2

λ = 1.48 m

Hence, speed of wave in the horn = 221 * 1.48 = 327.08 m/s

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