Synthetic Division

(6n^3 - 57n^2 + 69n - 14) ÷ (n - 1/2)

Synthetic Division(6n^3 - 57n^2 + 69n - 14) (n - 1/2)

Answers

Answer 1

Answer:

[tex]Lets\ consider\ the\ divisor\ (n-\frac{1}{2})\ as\ g(x) \\In\ order\ to\ perform\ synthetic\ division\ we\ need\ to\ find\ the\ zero\ of\ the\ divisor\ . \\Hence,\\g(x)=0\\n-\frac{1}{2}=0\\n= \frac{1}{2}\\[/tex]

[tex]Now\ we\ must\ write\ the\ dividend\ in\ its\ standard\ form\ and\ seperate\ out\ its\ coeffeicient.[/tex][tex]So,\\\\The\ Coefficients\ will\ be\ in\ this\ order\ : 6,-57,+19,-14[/tex]

                                                                                                                                                                               

                                                                               [tex]\frac{1}{2}[/tex]  | 6     -57    19    -14                                          

                                                                            +   |           3    -27    -4                                                                                            

                                                                                Q =  [6     -54     -8]   |-18 =R              

[tex]Hence,\\The\ acquired\ quotient\ is\ 6n^2-54n-8[/tex]

Hence,

As the divisor is rational,  

The quotient would be multiplied by the zero(1/2).

[tex]Hence,\\the\ final\ quotient\ = 3n^2-27n-4[/tex]

[tex]Remainder =-9[/tex]

                                                                                                                                                                       


Related Questions

MO is twice as long as MN. NO=36cm. Find MO and NM. Can you solve this problem? If so, give the solution. If not, explain why not.

Answers

here’s my answer assuming N bisects MO and this is all on a straight line

If this is helpful, please mark me brainliest. :)

If a line on a graph is horizontal, what kind of slope does it have?
a.) undefined slope
b.) negative slope
c.) zero slope
d.) positive slope

Answers

The answer is a zero slope because if slope equals rise:y over run:x a horizontal line is not increasing in y value it’s only increasing in the x value so if y is 0 and x is any number like 5, it would be 0/5 and if you simplify that it would be 0. I hope this helps

Answer:

Zero Slope

Step-by-step explanation:

Hope this helps!

suppose an elevator starts at the top floor of a high rise building at a height of 500 feet above the ground floor and descends without stopping at a rate of 17 seconds
Write a function that describes the height, h of the elevator after t seconds in function form

Answers

Answer:

answer is in the picture

Step-by-step explanation:

hope this helps

1 half + 10 = 1 fourth + 54.

x=_______?

Answers

Answer: First of all thats wrong. 1/2 + 10 = 10 1/2 and 1/4 + 54 = 54 1/4

Step-by-step explanation:

Can someone help me with the questions in the picture??

Answers

Answer:

16.) The store bought 816 light bulbs

17.) The total savings of Mr. Wilson after he buys the tickets is $268

Answer:

oki so the answer for the other question is 9. 1,100 and 10. 2,920

Step-by-step explanation:

a spinner with 10 equally sized slices has 2 red slices, 4 blue slices, and yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice.
(Write your answer as a fraction in simplest form).​

Answers

Since there are 10 total slices and 2 are red the probability of the dial stopping on a red slice is 2/10. But in simplest form 1/5.

The probability that the dial stops on a red slice is 1/5 or 20%.

What is Probability?

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward example. Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

Given:

number of total slices = 10

Red slices = 2

Blue slices= 4

Yellow slices= 10- 6 = 4

Now, probability that the dial stops on a red slice

=2/10

=1/5

=1/5 x 100

=20%

Hence, the probability that the dial stops on a red slice is 1/5 or 20%..

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ2

Zach saved x dollars over the last year. Mina saved more than Zach. Which equation can be used to find how much money Mina saved last year

Answers

Answer:

M > X

Step-by-step explanation:

Mina ( M ) saved more ( > ) than Zach ( X )

Answer the question please:
The correct answer will be marked as brainliest =)
thanks xoxo

Answers

Answer:

The answer is 5^-4.

Hope this helps and if you could mark this as brainliest. Thanks!

Answer:

[tex]\frac{1}{5^{4}}[/tex]

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=\frac{1}{a^{n-m}},[/tex]   if n >m

[tex]\frac{5^{3}}{5^{7}} = \frac{1}{5^{7-3}}=\frac{1}{5^{4}}[/tex]

please help with these few!!?​

Answers

Answer:

Triangle 6: 74

Triangle 7: 29

Triangle 8: 61

Triangle 9: 33

Step-by-step explanation:

Every triangle has a total degree angle of 180 degrees. Add the two sides that  are known and subtract the sum from 180 degrees to find out the last angle.

Kale is hiking 2,345 ft above sea level. The peak of the mountain he is climbing is 3,283 feet above sea level . What is the vertical distance between kale and the mountain peak ?

938 ft
942 ft
1,142 ft
5,628​

Answers

Answer:

a

Step-by-step explanation:

Answer:

so A. is the correct answer

Step-by-step explanation:

If Kale is at 2345 feet and needs to reach 3283, he will need to travel another 938 feet.

please help im confused

Answers

Answer:

B) t = l / pr

Step-by-step explanation:

l = prt

l / pt = t

Change from multiplication to division

=== Thanks ===

Sales tax in a certain community is 5%. If the sales tax on a new car was $1400, what was the selling price of the car?

Answers

Answer:

Step-by-step explanation:

Selling price = (100+5)/100 × 1400

= 105 × 14

= $ 1470.00

Answer:

28000 plz rate this thanks

Factor −3 out of −27a−12.

Answers

Answer:

-3(9a + 4)

Step-by-step explanation:

Factor −3 out of −27a−12.... basically divide each term by -3

-3(9a + 4)... please check if by multiplying -3 you still get (-27a - 12)

Cuál es la expresión equivalente a (x + 3)

Answers

Answer:

correspond with the domain.

Domain:  

(

,

)

,

{

x

|

x

R

}

 

Range:  

(

,

)

,

{

y

|

y

R

}

Step-by-step explanation:

When Jack started his job working for an industrial manufacturing company, he contributed $100
at the end of each month into a savings account that earned 1.2 % interest compounded monthly
for 8 years. At the end of the 8
th year, Jack was laid off. To help meet family expenses, Jack
withdrew $285 from the savings account at the end of each month for 2 years. At the end of the
second year of being unemployed, Jack found another job and started contributing $138 back into
the savings account at the end of each month for the next six years. How much money would he
have in the account at the end of the six years (after returning to work)?

Answers

Answer:

Problem 4 If the point (2, 2) is in the feasible set and the vertices of the feasible sct are (0,0), (0, 12). (6,18). (14, 16), and (18, 0), then determine the system of linear inequalities that created the feasible set. Show all the work that led you to you answer. (10 points) Problem 5 When Jack started his job working for an industrial manufacturing company, he contributed $100 at the end of each month into a savings account that earned 1.2 % interest compounded monthly for 8 years. At the end of the year, Jack was laid off. To help mect family expenses, Jack withdrew $285 from the savings account at the end of each month for 2 years. At the end of the second year of being unemployed, Jack found another job and started contributing $138 back into the savings account at the end of each month for the next six years. How much money would he have in the account at the end of the six years (after returning to work)? You may use the TVM Solver. Show all the necessary work that you need perform to arrive at the answer. (10 points)

Problem 5 When Jack started his job working for an industrial manufacturing company, he contributed $100 at the end of each month into a savings account that earned 1.2 % interest compounded monthly for 8 years. At the end of the 8th year, Jack was laid off. To help meet family expenses, Jack withdrew $285 from the savings account at the end of each month for 2 years. At the end of the second year of being unemployed, Jack found another job and started contributing $138 back into the savings account at the end of each month for the next six years. How much money would he have in the account at the end of the six years after returning to work)? You may use the TVM Solver. Show all the necessary work that you need perform to arrive at the answer. (10 points)

what is 31)775 please someone help me​

Answers

Answer:1/25 or 0.04

Step-by-step explanation: How I Got This Answer Was i did 77 divided by 31  and got 2 then brought down the 15 and then brought down the 5 to make 155 and the i did 155 divided by 31 and got 5  31 times 5 = 155 when you simplify the answer it comes up to 1/25.

PLEASE HELP I WILL GIVE YOU BRAINLEST!!!!!!!!!!!!!!

Answers

Answer:

the answer is 45 because 55+45=100

Step-by-step explanation:

brainliest pls

Answer:

he scored 45 points in the 3rd. for the second part i dont know how to do

The tuition and fees at a two-year college are $135 per credit hour. If Tyler takes h credit-hours, write an expression for the cost of his tuition and fees.

Answers

Answer:

t=135h, where

t is the cost of tuition and fees

his the number of credit hours

Step-by-step explanation:

Given that the tuition and fees at a two-year college are $135 per credit hour, the expression to calculate the cost of Tyler's tuition and fees would indicate that is equal to the result of multiplying the price per credit hour for the number of hours:

t=135h, where

t is the cost of tuition and fees

his the number of credit hours

Find the measure of the angle indicated in bold.
Answer Choices:
84o

125o

60o

100o

Answers

Answer:

100

Step-by-step explanation:

12x - 4 + 13x + 9 = 180

25x + 5 = 180

25x = 175

x = 7

13(7) + 9 = 100

Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $27.50 and did not provide supplies. Which equation could be used to find the number of windows, w, that Chad washed for this customer?

Answers

*5.5w - 3.25 = 35.25

The 5.5w part shows that its $5.50 times each window. The -3.25 is because he deducted 3.25 from the total. And then you have the price that he got on the other side. 

Here's the work to find the windows in case you want it:

5.5w-3.25=35.25

5.5w=38.50

w=7

He washed 7 windows

Answer:

5.5 w - 3.25 = 27.5

Step-by-step explanation:


can u help me with this asap

Answers

First simplify
5x + 3 > 4x + 7
x > 4
Shaded part should be greater than 4
It would be number line A

Answer:

the answer is the first one

Step-by-step explanation:

Lorena compró en una tienda una remera, un pantalón y una cartera. Se sabe que el pantalón cuesta $400 más que la remera, y la cartera cuesta 5 veces el valor de la remera. Si por los tres objetos pagó, en total, $2850, ¿cuál es precio de cada uno?

Answers

Responder:

Costo de la camisa = $ 350

Pantalón = $ 750

Billetera = $ 1750

Explicación paso a paso:

Artículos comprados :

Camiseta (t); pantalones (p); y billetera (w)

El pantalón cuesta 400 más que la camisa

La billetera cuesta 5 veces el valor de la camisa

Importe total pagado = 2850

Sea el costo de la camiseta = x

Costo del pantalón = x + 400

Costo de la billetera = 5x

La suma del costo debe dar el monto total pagado:

x + x + 400 + 5x = 2850

7x + 400 = 2850

7x = 2850 - 400

7x = 2450

x = 350

Por lo tanto,

Costo de la camisa = $ 350

Pantalón = x + 400 = 350 + 400 = $ 750

Billetera = 5x = 350 * 5 = $ 1750

Can somebody please help me solve question 20

Answers

Answer:

35 + 37

Step-by-step explanation:

if you try any other number like: 37 + 39 = 76 that doesn't work well because its higher that 75.

find the length of the missing of the missing triangle. Round your answer to the nearest tenth. Show your work​

Answers

Answer:

17.32 cm

6.21 cm

Step-by-step explanation:

a^2+b^2=c^2

a^2+22^2=28^2

a^2=300

6^2+4^2=c^2

c=6.21

Hopefully this helps!

This talented group of dogs has 25 yards of ribbon. They want to cut the ribbon to make bows and awards. If each piece of ribbon needs to be 3/4 of a yard, how many bows will they be able to make?

Answers

Answer:

18.75 bows

Step-by-step explanation:

This talented group of dogs has 25 yards of ribbon. They want to cut the ribbon to make bows and awards. If each piece of ribbon needs to be 3/4 of a yard, how many bows will they be able to make?

The total number of yards =25 yards

Each piece of ribbon = 3/4 of a yard

Hence, the number of bows they can make is:

3/4 × 25 yards

= 18.75 bows.

what does x= but it has to equal 10​

Answers

Answer:

No solutions.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

-2(4 - 3x) - 6x = 10

Step 2: Solve for x

Distribute -2:                    -8 + 6x - 6x = 10Combine like terms:        -8 ≠ 10

Here we see that -8 does not equal 10.

∴ This equation has no solutions.

Plzzzz help I will mark brainliestttt

Answers

Answer:

Not

Step-by-step explanation:

6 and 4 are paired with 2 x values, and a function is something which's y values are paired with only 1 x value.

Hope I helped!!!

identify the type of represented f(x)=3/8(4)^x

Answers

Answer:

Exponetial Growth

Please help and hurry!! Worth 15 points.

Solve
10p + 2 + 3p = 36

A. 2 12/13
B. 2 8/13
C. 2 10/13
D. 4 6/7

Answers

Answer:

b

Step-by-step explanation:

11x-7=3x+9 value of fg

Answers

Answer:

x=16 because when they both cross the equal to sign their operational sign changes thus u subtract n make x the subject

The answer is x=16 hope this helps
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