Use synthetic division to find the result when 3x^2– x^2– 5x – 10 is divided by x-2

Answers

Answer 1

Answer:

Step-by-step explanation:

Place the numbers representing the divisor and the dividend into a division-like configuration.

−5

1

−5

2

−10

0

     

The first number in the dividend (1)

is put into the first position of the result area (below the horizontal line).

−5

1

−5

2

−10

0

     

1

   

Multiply the newest entry in the result (1)

by the divisor (−5) and place the result of (−5) under the next term in the dividend (−5)

.

−5

1

−5

2

−10

0

  −5

   

1

   

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

−5

1

−5

2

−10

0

  −5

   

1

−10

 

Multiply the newest entry in the result (−10)

by the divisor (−5) and place the result of (50) under the next term in the dividend (2)

.

−5

1

−5

2

−10

0

  −5

50

 

1

−10

 

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

−5

1

−5

2

−10

0

  −5

50

 

1

−10

52

 

Multiply the newest entry in the result (52)

by the divisor (−5) and place the result of (−260) under the next term in the dividend (−10)

.

−5

1

−5

2

−10

0

  −5

50

−260

 

1

−10

52

 

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

−5

1

−5

2

−10

0

  −5

50

−260

 

1

−10

52

−270

Multiply the newest entry in the result (−270)

by the divisor (−5) and place the result of (1350) under the next term in the dividend (0)

.

−5

1

−5

2

−10

0

  −5

50

−260

1350

1

−10

52

−270

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

−5

1

−5

2

−10

0

  −5

50

−260

1350

1

−10

52

−270

1350

All numbers except the last become the coefficients of the quotient polynomial. The last value in the result line is the remainder.

1x3+−10x2+(52)x−270+1350x+5

Simplify the quotient polynomial.

x3−10x2+52x−270+1350x+5


Related Questions

write the equation of the line that passes through the point of (2,-1) and has a slope of -3​

Answers

Answer:

y=-3+5

Step-by-step explanation:

Setting y=Ax+B we find that the slope A=-3 and -1=-3(2)+B which means that B=5. Thus, the equation of the line is y=-3x+5.

please help!!! ASAPPP 18 pts + brainlest

Answers

Answer:

2,544.42

Step-by-step explanation:

HOPE THIS HELP YOU,FOR ANY QUESTION PLEASE ASK ME

Someone pls help?????????????????????

Answers

The answer is :10 :) really hope that right

Answer:

10 more couches were sold.

Step-by-step explanation:

On Tuesday, they sold 15 couches, while on Wednesday only 5 were sold.

15-5=10 Couches

Multiply using the distributive property

Answers

Answer:

see image

Step-by-step explanation:

When Juan got home from school, he worked on his homework for 45 minutes. Then, he took a break and had a snack for 35 minutes, and after that went to baseball practice for 1 hour and 55 minutes. He finished baseball practice at 6:05 p.m. What time did he get home from school? of​

Answers

Answer:

2:50 p.m.

Step-by-step explanation:

After he got home, his activities were:

homework: 45 minutes

break & snack: 35 minutes

baseball practice: 1 hour 55 minutes

1 hour = 60 minutes

Total time of activities:

45 minutes + 35 minutes + 60 minutes + 55 minutes = 195 minutes

195 minutes = 180 minutes + 15 minutes = 3 hours 15 minutes

Now we subtract 3 hours 15 minutes for 6:05 p.m.

   6:05

-   3:15

----------

We need to borrow 1 hour from 6 hours. 1 hour is 60 minutes. 6 hours becomes 5 hours. We add the 1 hour as 60 minutes to the 5 minutes.

   6:05                               5:65

-   3:15         -------->        -   3:15

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

                                          2:50

Answer: 2:50 p.m.

If an amount increases by 5. 1% each year, what is the growth factor?

please show steps

Answers

the growth factor is simply the same amount, but in decimal format, so what is 5.1% of anything?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5.1\% of anything}}{\left( \cfrac{5.1}{100} \right)anything}\implies 0.051(anything)[/tex]

so the growth factor is simply the decimal format of 0.051.

SORRY BUT I HAVE ANOTHER PROBLEM!!!!! WILL GIVE BRAINLIEST & 50 POINTS

For all [tex]x \neq -3, \frac{x^2-6x +9}{6x-18} =[/tex]

F. [tex]\frac{x+3}{x-3}[/tex]

G. [tex]\frac{x-3}{6}[/tex]

H. [tex]\frac{1}{x-3}[/tex]

J. [tex]x-3[/tex]

K. [tex]\frac{x}{3}[/tex]

Answers

Answer:

The correct option is G.Hope this help!!

Just factor out

[tex]\\ \rm\hookrightarrow \dfrac{x^2-6x+9}{6x-18}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{x^2-3x-3x+9}{6(x-3)}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{x(x-3)-3(x-3)}{6(x-3)}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{(x-3)(x-3)}{6(x-3)}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{x-3}{6}[/tex]

Nyana ate 1/4 of an apple. Nelmarie ate 1/4 of the same apple. How much of the apple did Nyana and Nelmaire eat in all?​

Answers

Answer:

Nyana and Nelmaire ate 2/4, or 1/2 of the apple in all.

Step-by-step explanation:

1/4 + 1/4 equals 2/4
2/4 is equivalent to 1/2

Please help will mark

A scientist uses the equation shown below to predict the future population of a species. In the equation, y represents the estimated population and trepresents the number of years.
y=150•4^t

Which number is closest to the value of y when t=3/2

Answers

Answer:

1200 i think

Step-by-step explanation:

i used a calculator since its hard for me to do mental math

question 2

(sorry i replied late i was doing some of my school work)

so you make A be equal to 5000 since you want to know when his account will be that much money sooo

5000 = 2000(1.07t)

you divide 2000 from both sides

5000/2000 = 1.07t

5/2 = 1.07t

now you have to isolate t to solve for it

soo divide 1.07 to both sides

5/2 / 1.07 = t

t is equal to about 2.34 or 2 years (depends on what it tells you to round to) in the calc t is 2.336448598

so in maybe 2 years he'll have 5000 dollars

What is the volume of a cylinder, in cubic cm, with a height of 3cm and a base diameter of 10cm? Round to the nearest tenths place.

Answers

Area=30

Calculate area of the rectangle:30

1 + = 24 + 5 what is the answer please help

Answers

Answer:I think it would be 28

Step-by-step explanation:

I think you mean 1+x=24+5, so that's what i'm answering

1 + x = 24 + 5

1 + x = 29

-1.        -1

x= 28

60 POINTS!!
Match the steps to solve the following equation using distributive property. 4 (2x - 6) = 24

Answers

Answer:

1) 8x - 24 = 24

2) 8x - 24 + 24 = 24 + 24

3) 8x = 48

4) x = 6

Step-by-step explanation:

Bolded are the answer choices:

4(2x - 6) = 24

First, distribute 4 to all terms within the parenthesis:

4(2x - 6) = 24

(4 * 2x) - (4 * 6)

(8x) - (24) = 24

8x - 24 = 24.

Next, add 24 to both sides of the equations:

8x - 24 (+24) = 24 (+24)

8x = 24 + 24

8x = 48

8x - 24 + 24 = 24 + 24

Then, divide 8 from both sides of the equation:

(8x)/8 = (48)/8

x = 48/8 = 6

8x = 48

x = 6

~

Owen has a mask collection of 300 masks. He keeps 63 of the masks on his wall. What percentage of Owen's mask collection does he keep on his wall?​

Answers

Using the percentage concept, it is found that he keeps 21% of his mask collection on the wall.

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, the parameters are a = 63 and b = 300, hence the percentage is given by:

[tex]P = \frac{63}{300} \times 100\% = 21\%[/tex]

More can be learned about the percentage concept at https://brainly.com/question/10491646

The largest major arc is:
MHJ
JMG
GNM
HLI

Answers

Answer:

the correct answer is HLI

[tex]\frac{1}{3} + \frac{1}{3}[/tex]

Answers

Answer: 2/3

Explanation: 1+1=2 the denominators don’t change so it’s just 2/3

Factor the expression below. 12x3−18

Answers

Answer:

6(2x³-3)

Step-by-step explanation:

To factor the expression: 12x³−18:

We rewrite 12x³ as 6×2x³

And rewrite -18 as -6×3

6×2x³-6×3

Take out the common factor of 6:

6(2x³-3)

This is our answer
Brainliest please!

Answers :

the Pythagorean theorem

angle-angle similarity theorem

triangle sum theorem

interior angle theorem

Answers

Answer:

angle-angle similarity theorem

Jonathan needs to make 5 bowl of pasta.if he uses 145mL of sauce.how many milliliters of sauce will he use for each bowl of pasta​

Answers

Answer:

145/5 = 29

Step-by-step explanation:

I am not sure of this answer if this is correct please mark me as brainliest

Simone is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t, in years, since Simone started studying the population, and the number of tigers, N(t) year ​ right parenthesis, is modeled by the following function: N year(t)=612⋅(2/3)^t Complete the following sentence about the monthly rate of change in the tiger population.

Answers

Answer:

Every month, the number of tigers decays by a factor of 0.97

Step-by-step explanation:

khan academy!

Every month, the number of tigers decays by a factor of 0.97.

We have given that,

Simone is an ecologist who studies the change in the tiger population of Siberia over time.

What is the exponential equation?

An exponential function is a type of function in math that involves exponents. A basic exponential function is of the form f(x) = b^x, where b > 0 and b ≠ 1.

The relationship between the elapsed time t, in years, since Simone started studying the population, and the number of tigers, N(t) year ​ right parenthesis, is modeled by the following function: N year(t)=612⋅(2/3)^t

We have to determine to Complete the following sentence about the monthly rate of change in the tiger population.

To learn more about the exponential equation visit:

https://brainly.com/question/12940982

#SPJ2

North High School just put on
their Spring musica. The theater
department sold tickets for $5 for
adults and $2 for students. If they
sold 574 fickets for $2,120, how
many of each ticket was sold?

Answers

5x + 2y = 2120

x + y = 574

2y = 2120 - 5x

2y = 1148 - 2x

1148 - 2x = 2120 - 5x

-972 = -3x

x = 324

574 - 324 = y

y = 250

324 adult tickets sold, 250 student tickets sold

can someone please help me with Arithmetic Sequences

Answers

Answer:

287

Step-by-step explanation:

Sum of A Finite Arithmetic Sequnece is

[tex] \frac{a _{1} + a _{n} }{2} n[/tex]

Where a1 is first term

an is final term

N is the number of terms.

We know a1 is 1

An is 40 but we don't know n.

To find n, we use the definition of a Arithmetic Sequence

[tex]a _{n} = a + (n - 1)d[/tex]

where d is the common difference. Let use the final term, 40 as a example.

Here the common difference is 3 so we have

[tex]40= 1 + (n - 1)3[/tex]

[tex]39 = 3(n - 1)[/tex]

[tex]13 = n - 1[/tex]

[tex]14 = n[/tex]

So we have 14 terms in this finite series.

Now we compute

[tex] \frac{1 + 40 }{2}(14) = \frac{41}{2} (14) = 41 \times 7 = 287[/tex]

So the answer is 287

19. The trailer of an 18-wheeler measures 53 ft x 15 ft x 10 ft. How much freight will it hold?
O
A. 7950 ft
OB. 1200 ft
O C. 203 ft
O D. 78 ft

Answers

Answer:

A. 7950 sq. ft

Step-by-step explanation:

Volume of trailer = volume of a cuboid

Volume =  l × w × h

Volume = 53 × 15 × 10 = 7950

Beth withdrew $35 from her checking account. in which column should she record the $35 withdrawal? a checking account has columns check number, debits, deposits, balance. check number debit deposit balance

Answers

In the debit column, She records the $35 withdrawal. Debit is balanced in basic accounting by credits,

What is debit?

On a balance sheet of a company, a debit is an accounting entry that results in an increase in assets or a decrease in penalties.

Debits are balanced in basic accounting by credits, which function in the reverse manner.

If anyone withdraws the money from the account. The withdrawal will record in the debit column.

Hence In the debit column should record the $35 withdrawal.

To learn more about the debit refer to the link;

https://brainly.com/question/14279491

Answer: Debit

Step-by-step explanation: took the test (:

Can someone please explain this to me??

Answers

the formula for the discriminant is
b^2 - 4•a•c
now that you have this equation, plug in the values
(-17)^2 - 4(4)(3)
you get 289-48 and that is 241 which is the value of the discriminant.
since that value is positive, there are 2 solutions. if it were negative, there would be no solutions. if it were 0, there’d be one solution

Please help. I’ll mark you as brainiest and give 20 points

Answers

Answer:

i and iii are correct

Step-by-step explanation:

ur welcome:)

What is the inverse of function f?



A.

B.

C.

D.

Answers

Answer: Choice D

[tex]f^{-1}(x) = 3-7x\\\\[/tex]

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

Work Shown:

[tex]f(x) = \frac{3-x}{7}\\\\y = \frac{3-x}{7}\\\\x = \frac{3-y}{7}\\\\7x = 3-y\\\\7x+y = 3\\\\y = 3-7x\\\\f^{-1}(x) = 3-7x\\\\[/tex]

The idea is to swap each x and y, then solve for y to find the inverse.

Graph f(x) = x and g(x) = 5x + 1. Describe the transformations from the graph off to
the graph of g.

Answers

Answer:

the G graph runs straight through the middle while the F does not

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

someone answer part B.

Answers

Not letting me add answer

Refer to the attachment

42=3x+6
what’s x in this equation

Answers

Answer:

X = 12

Step-by-step explanation:

Input 12 for X

[tex]3*(12)+6 = 42[/tex]

Answer:

x = 12

Step-by-step explanation:

The value of x is 12. (Refer attachment)

The distance around a meter crater is 9755 ft. Find the diameter of the crater. Use 22/7

Answers

Answer:

[tex]\frac{68285}{44}[/tex] or [tex]1551.93181818...[/tex]

Step-by-step explanation:

[tex]\frac{9755}{2(\frac{22}{7})}\\\\[/tex]

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