4. How do we divide polynomials using synthetic division?

Answers

Answer 1

Answer:

here

Step-by-step explanation:

Step 1 : set the denominator equal to zero to find the number to put in the division box. Next, make sure the numerator is written in descending order.

Step 2 : Once the problem is set up correctly, bring the leading coefficient (first number) straight down.

Step 3 : Multiply the number in the division box with the number you brought down and put the result in the next column.

Step 4 : Add the two numbers together and write the result in the bottom of the row.

Step 5 : Repeat steps 3 and 4 until you reach the end of the problem.

Step 6 : Write the final answer. The final answer is made up of the numbers in the bottom row with the last number being the remainder and the remainder must be written as a fraction.


Related Questions

somebody help me answer these ik I'm not the smartest​

Answers

Answer:

1. 3/5

2. 70/9

3. 12 3/5

Step-by-step explanation:

hope it helps

Answer:

reduce 18/30

divide both numerator and denominator by 6

3/5

change to improper 7 7/9

multiply 7*9=63

63+7=70

70/9

Change to mixed number 63/5

63/5=12 remainder 3

12 3/5

4 3/7 - 2 5/14 Can someone Please Please help me??

Answers

Answer:

29 over 14

Step-by-step explanation:

How many solutions does this nonlinear system of equaTions have?

Answers

Answer:

There are five possible types of solutions to the system of nonlinear equations representing an ellipse and a circle

Step-by-step explanation:

P.S Can I have brainliest?

Answer:

Step-by-step explanation:

Depends on how many points on the graph

Q. Of the 100 students in 7th grade , 4 out of every 10 students said that pizza
was their favorite food. Based on this, how many students did NOT say pizza was their
favorite food?

Answers

You can begin by writing a ratio

4:10

To get the total students to 100, you must multiply 10 by 10. Therefore multiply 10x10 and 4x10

This gives a
40:100 ratio

That is how many said pizza is their favorite

To find how many did not, subtract 100-40 (total-part). This gives 60. That means 60 students didn’t say pizza is their favorite.

60

Hope this helps

PLEASE HELP ME I DONT UNDERSTAND

Answers

Answer:

[tex]d=4\sqrt{5}[/tex]

Step-by-step explanation:

Write down both endpoint coordinate points:

[tex](-5,-3)(-1,5)[/tex]

Use the distance formula:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\\\(x_{1},y_{1})(x_{2},y_{2})[/tex]

Insert values:

[tex]d=\sqrt{(-1-(-5))^2+(5-(-3))^2} \\\\d=\sqrt{(-1+5)^2+(5+3)^2}[/tex]

Simplify parentheses:

[tex]d=\sqrt{(4)^2+(8)^2}[/tex]

Simplify exponents:

[tex]d=\sqrt{16+64}[/tex]

Add:

[tex]d=\sqrt{80}[/tex]

Find the square root. Find multiples of 80 that are perfect squares:

[tex]16*5=80\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5} \\\\[/tex]

[tex]d=4\sqrt{5}\\\\d=8.94427190...[/tex]

:Done

The average person laughs 15 times per day.

Answers

really? i didn’t know.
Gosh I need to start laughing more then

Determine if each ratios or rates are equivalent.

$12 for 3 paperback books, $28 for 7 paperback books.

Answers

Answer:

no these are not equivalent

Step-by-step explanation:

these aunt equivalent because 12+12 =24 and 3+3=6 not 7 or 28 so no ccx these are not equivalent

One of the base angles of an isosceles triangle is 40°. Which is the triangle classification according to its
angles?
A. acute
B. right
C! obtuse
D. equiangular
Please help

Answers

Answer:

C. Obtuse

Step-by-step explanation:

convert y+1= 6/11(x+11) to slope-intercept

Answers

Answer:

need more info

Step-by-step explanation:

plz comment so i know

Answer:

y = 6/11x + 5

Step-by-step explanation:

y + 1 = 6/11 (x + 11)

distribute 6/11

y + 1 = 6/11x + 6

  - 1              - 1

y      = 6/11x + 5

Hope this helps!!

Also, mark me brainliest thank you!!!

In case you don't know how click the crown at the bottom of this answer next to the comments button.

What is the domain of f(x)=
10x1-(4)
?

Answers

Answer:

Domain:(−∞,∞),{x|x∈R}

Step-by-step explanation:

In this soccer season Emma has scored one more than twice the number of Nikki's goals if Emma has scored 15 goals which equation can be used to find X number of goals

Answers

Answer:

[tex]X = 22[/tex]

Step-by-step explanation:

Given

Represent Emma with E and Nikki with N

From the question, we have that:

[tex]E = 1 + 2N[/tex]

and

[tex]E = 15[/tex]

Required

Determine the X number of goals

Substitute 15 for E in [tex]E = 1 + 2N[/tex]

[tex]15 = 1 + 2N[/tex]

Subtract 1 from both sides

[tex]15 -1 = 1 - 1 + 2N[/tex]

[tex]14 = 2N[/tex]

Divide both sides by 2

[tex]\frac{14}{2} = \frac{2N}{2}[/tex]

[tex]\frac{14}{2} = N[/tex]

[tex]7 = N[/tex]

[tex]N=7[/tex]

This implies that Nikki scored 7 goals in total

The X number of goals is then calculated as:

[tex]X = N + E[/tex]

[tex]X = 7 + 15[/tex]

[tex]X = 22[/tex]

0.000603 in scientific notation

Answers

6.03 x 10^-4 That is 6.03 times 10 to the negative 4 power.

Consider a political discussion group consisting of 8 ​Democrats, 4 ​Republicans, and 2 Independents. Suppose that two group members are randomly​ selected, in​ succession, to attend a political convention. Find the probability of selecting no Democrats

Answers

Answer:

The probability is 30/182

Step-by-step explanation:

The total number of people to select from is

8 + 4 + 2 = 14

We want to select two who are not democrats

Probability of selecting first one who is not a democrat will be 6/14

Probability of selecting a second who is not a democrat will be 5/13

So the probability of the two not being democrats will be 6/14 * 5/13 = 30/182

Evaluate
15/r when r=5

Answers

Answer:

3

Step-by-step explanation:

[tex]\frac{15}{r} =\frac{15}{5}=3[/tex]

Can you help me please?

Answers

Answer : Multiplication


Explanation: you gotta multiple the numbers in the parentheses

Answer:

Exponent - Division - Multiplication - Addition - Subtraction

Kira runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes.

Answers

Answer:

2.8 miles

Step-by-step explanation:

brian runs 7 miles in 60 minutes at the same rate how many miles would he run in 24 minutes?

(24/60)*7=2.8 miles

Find two numbers with sum 82 and difference 30.

Answers

Answer: I think it would be 112.

Step-by-step explanation:

Quadrilateral VWXY is a kite. Find the measure of angle W.

Answers

Answer:

88

Step-by-step explanation:

all the angles added up must equal 360 degrees add x and v and subtract with 360 and divide that by 2

Solve algebraically for x:
3600 + 1.02x < 2000 + 1.04x

Answers

Answer:

Let's solve your inequality step-by-step.

3600+1.02x<2000+1.04x

Step 1: Simplify both sides of the inequality.

1.02x+3600<1.04x+2000

Step 2: Subtract 1.04x from both sides.

1.02x+3600−1.04x<1.04x+2000−1.04x

−0.02x+3600<2000

Step 3: Subtract 3600 from both sides.

−0.02x+3600−3600<2000−3600

−0.02x<−1600

Step 4: Divide both sides by -0.02.

−0.02x

−0.02

<

−1600

−0.02

x>80000

Step-by-step explanation:

Will is buying a house for $185,000. He is financing $165,000 and obtained a 30-year, fixed-rate mortgage with a 6.725% interest rate. How much are his monthly payments? (2 points)

Answers

Answer:  $1067.45

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

Work Shown:

L = 165000 = loan amount or amount financed

r = 0.06725  = annual interest rate in decimal form

i = r/12 = 0.06725/12 = 0.005604167

i = 0.005604167 = approximate monthly interest rate in decimal form

n = number of months = 30*12 = 360 months

P = unknown monthly payment

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

Apply the monthly payment formula

P = (L*i)/( 1-(1+i)^(-n) )

P = (165000*0.005604167)/(1-(1+0.005604167)^(-360))

P = 1067.44636311118

P = 1067.45

In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​a) Find the exponential growth function. ​b) Estimate the population of the city in 2018. ​c) When will the population of the city be ​8 million? ​d) Find the doubling time. ​a) The exponential growth function is ​P(t) nothing​, where t is in terms of the number of years since 2012 and​ P(t) is the population in millions. ​(Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the​ equation.)

Answers

Answer:

a) The exponential growth function

P(t) = 5,690,000(1.0287)^t

b) 6,742,868.7374 million

c) 12.04 years

d) 2439.0243902

Step-by-step explanation:

In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​

The formula for exponential growth is given as:

P(t) = Po( 1 + r) ^t

Where P = Population size after time t

Po = Initial population size

r = Growth rate in percentage

t= time in years

a) Find the exponential growth function.

P(t) = Population size after time t

Po = Initial population size = 5.69 million

r = Growth rate in percentage = 2.87% = 0.0287

t= time in years

The Exponential growth function

P(t) = 5,690,000(1 + 0.0287)^t

P(t) = 5,690,000(1.0287)^t

​b) Estimate the population of the city in 2018. ​

From 2012 to 2018 = 6 years

t = 6 years

Hence,

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^6

P(t) = 5,690,000(1.0287)^6

P(t) = 6,742,868.7374 million

c) When will the population of the city be ​8 million?

P(t) = 8,000,000

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1.0287)^t

Divide both sides by 5,690,000

8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000

= 1.4059753954 = 1.0287^t

Take logarithm of both sides

log 1.4059753954 = log 1.0287^t

Log 1.4059753954 =t Log 1.0287

t = Log 1.4059753954/Log 1.0287

t = 12.041740264

t = 12.04 years

​d) Find the doubling time.

The formula is given as 70/Growth rate

= 70/0.0287

= 2439.0243902

moving company rents moving trucks for $20 plus $0.19 per mile. Suppose a customer’s total bill for renting a truck comes to $34.06. How many miles did the customer drive? Write an equation and explain how you used it to find your answer.​

Answers

Answer:

34.06=20+0.19m

Step-by-step explanation:

The 20 dollars is a one-time thing so we don't need a variable for that. The 0.19 per mile does because the cost will depend on how many miles you drove (I used the variable 'm' but you could use a different letter). Altogether the bill costs 34.06 so that will go on the opposite side of our equal side.

34.06=20+0.19m

First we need to isolate 0.19m to find the number of miles the customer drove, and we can do that by subtracting 20 on each side.

34.06-20=20-20+0.19m

14.06=0.19m

Now we divide 0.19 because 0.19 is multiplied to m and division is the opposite operation

m=74

This means that the customer drove 74 miles.

What is the equation of the line that passes through the point (4, 3) and has a slope
of 1?

Answers

Answer:

y=x-1

Step-by-step explanation:

Answer:

y=x1

Step-by-step explanation:

what is the sum of ​

Answers

Answer:

C

Step-by-step explanation:

Write a word description of the set.
{−6, −5, −4, −3, −2, −1}

Answers

The numbers in the brackets shown are from least to greatest. Negative six (being the lowest), negative five, negative four, negative three, negative two, negative one(being the greatest).
Hope this helps!

Calculate simple interest : $125. 4 years, at 10% interest ..(how much is the interest alone?)

Answers

Answer :$50 is the simple InterestExplaination :

Here we have been clearly given with Principal, time period and rate of interest.

Principal (P) = $125Rate (R) = 10%Time (T) = 4 years

We have to calculate the simple Interest.

As we know that simple Interest is calculated by the formula :

[tex]\pink{\boxed{\sf{S.I. \: = \: \dfrac{P \times R \times T}{100}}}} \: \bigstar[/tex]

Where,

S.I. is simple Interest R is rate of interest T is time

Putting the values :

[tex]: \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 10 \times 4}{100}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times \cancel{10} \times 4}{ \cancel{100}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 1 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{ \cancel{125} \times 4}{ \cancel{10}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 4}{ 2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times \cancel{4}}{ \cancel2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 2}{1}} \\ \\ : \: \implies \: \sf{S.I. \: = \: 25 \times 2} \\ \\ : \: \implies \: \red{\bf{S.I. \: = \: 50}} [/tex]

Visit more :

https://brainly.com/question/26734922

Which of the following equations represent linear functions?
The picture will be shown

Answers

B; because it needs to start with y=

Pls help need this for my finalWhat is the value of x in the isosceles trapezoid below?
A. 13
B. 26
2
A
C. 11
D. 22

Answers

Answer:

A) 13!

Step-by-step explanation:

Just answered the question!

Answer:

13

Step-by-step explanation:

You created new playlist, and 100 oi your friends listened to it and shared if they liked the new playlist or nat. Nadhii said the ratio of the number of people who liked the playlist ta the number of people who did nat like the playlist is 75:25. Dylan said that three people who liked the playlist, one person did not. Nadhii and Dylan agree? Prove your answer using the values of the ratios.

Answers

Answer:

Yes, Nadhii and Dylan agree

Step-by-step explanation:

You created a new playlist, and 100 of your friends listened to it and shared if they liked the new playlist or not. Nadhii said the ratio of the number of people who liked the playlist to the number of people who did not like the playlist is 75: 25. Dylan said that for every three people who liked the playlist, one person did not.

Do Nadhii and Dylan agree? Prove your answer using the values of the ratios.

Total number of friends who listened = 100

Nadhii said the ratio of the number of people who liked the playlist to the number of people who did not like the playlist is 75: 25.

Nadhii

Number of people who liked the playlist : Number of people who did not like the playlist

= 75 : 25

= 75 / 25

= 3/1

= 3 : 1

Dylan said that three people who liked the playlist, one person did not.

Number of people who liked the playlist : Number of people who did not like the playlist

= 3 : 1

Yes, Nadhii and Dylan agree

Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 90 coins with a value of $17.55 inside of the bank. Dylan only collects dimes and quarters. Determine how many quarters and how many dimes Dylan has.

Answers

Answer: There are 57 quarters and 33 dimes.

Step-by-step explanation:

let x = Number of quarters

y= Number of dimes

As per given , we have

x+y = 90  (i)

0.25x+0.10y= 17.55  (ii)

Multiply 10 on both sides of (ii)

2.5x+y= 175.5    (iii)

Eliminate (i) from (iii) , we get

1.5x = 85.5

⇒ x= 57

Put value of x in (i) , we get

57+y=90

⇒  y= 90-57

⇒  y= 33

Hence, there are 57 quarters and 33 dimes.

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