i need the answer plz​

I Need The Answer Plz

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

If (x - 1) is a factor then f(1) = 0

Given

f(x) = x³ - 13x² + 32x - 20 , then

f(1) = 1³ - 13(1)² + 32(1) - 20

     = 1 - 13 + 32 - 20

     = 0

Since f(1) = 0 then (x - 1) is a factor

Using Synthetic division

 1  | 1  - 13   32   - 20

      ↓    1   - 12      20    

     -----------------------------

      1    - 12   20     0 ← remainder

quotient = x² - 12x + 20 = (x - 2)(x - 10)

Then

x³ - 13x² + 32x - 20 = (x - 1)(x - 2)(x - 10) ← in factored form

     


Related Questions


What is the volume, in cubic feet, of a rectangular prism with a height of 2 feet, a
width of 10 feet, and a length of 17 feet?

Answers

Answer: 340

Step-by-step explanation: It would follow the basic volume formula w*l*h so filling in the values gets us (10)*(17)*(2) and multiplying them out gets us 340.

Please show me 3+2 (2x - 4) and can you please show the work?

Answers

Answer:

4x -5

Step-by-step explanation:

3+2 (2x - 4)

Distribute

3 + 2*2x - 2*4

3+4x - 8

Combine like terms

4x +3-8

4x -5

Answer:

4x - 5

Step-by-step explanation:

3+ 2 (2x) + 2 (-4)

3+4x - 8

PLZZ HELP. ONLY ANSWER IF YOU THINK YOU HAVE THE CORRECT ANSWER PLZZ!

Answers

Answer:

$232.75

Step-by-step explanation:

If you do 175 divided by 100, you get 1.75. Then you take 45 (45%) and subtract it by 12 (12%) you 33 (33%). Now you take 1.75 and times it by 33 and you get 57.75. Take the 175 and add 57.75 and you get 232.75 ($232.75)

I hope this helps with the problem. See ya.

175 divided by 100 $232.37

The circle below has center H. suppose mIJ=84. What is mIGL

Answers

Answer:

m∠IGJ = 42°

Step-by-step explanation:

It's given in the question,

m(arc IJ) = 84°

And we have to get the measure of ∠IGJ.

By using the property of inscribed angle and the intercepted arc.

"Measure of an inscribed angle is half of the measure of intercepted arc"

m(arc IJ) = 2(m∠IGJ)

84° = 2(m∠IGJ)

m∠IGJ = 42°

help please

plz plz plz​

Answers

Step-by-step explanation:

Here,

y= 2x

and x € (1,2,3)

now,

when x=1 , when x=2 , when x= 3

y=2x y= 2x y=2x

= 2×1 = 2×2 = 2×3

= 2 = 4 = 6

Therefore, y = (2,3,6)

Which statement are true of functions? (All that applies)
A. All function have a dependent variable
B. All function have a independent variable
C. The range of a function includes its domain
D. A vertical line is an example of a functional relationship
E. A horizontal line is an example of a functional relationship
F. Each output value of a function can correspond to only one input value

Answers

A and B and E.And sorry if I get it wrong.

2020 people formed a line. In one move, you are allowed to exchange the positions of two people, separated by one other person. Can you always sort the people form tallest to shortest using these moves?

Answers

Answer:

yes you CAN you can use the descending to ascending formular but on people in which they might be a mixup of tallest and shortest

No, it is not always possible to sort the people from tallest to shortest using these moves.

Suppose there are four people in the line with heights A, B, C, and D, where A is the tallest and D is the shortest.

The initial order is A-B-C-D.

In each move, we can only exchange the positions of two people separated by one other person.

However, no matter how many moves we make, we cannot change the relative order of A and D since they are separated by two other people.

Thus, it is not possible to sort the people from tallest to shortest using these moves.

To learn more on Number system click here:

https://brainly.com/question/1763119

#SPJ4

Select all the numbers that are irrational.

Answers

9514 1404 393

Answer:

  π, √3, 3√2

Step-by-step explanation:

A number is irrational if it is not a decimal number of finite length or a repeating decimal number.

The irrational numbers in the group are shown below.

Over what interval is the function in this graph constant?

Answers

Answer:

[tex]\text{A. }1\leq x \leq6[/tex]

Step-by-step explanation:

A constant intervals occurs when the function is neither increasing or decreasing. In the graph, we see this occurs from [tex]x=1[/tex] to [tex]x=6[/tex]. Therefore, the interval in which the graph is constant is [tex]\boxed{\text{A. }1\leq x \leq6}[/tex]

The solutions to the equation -4|x + 9| = -8 are:
7, 11
7, -11
-7, 11
-7, -11

Answers

Answer:

option 4

Step-by-step explanation:

Given Equation :-

=> -4| x + 9 | = -8

To FinD :-

=> Solution of the equation .

Solving it :-

=> -4| x + 9 | = -8

=> | x + 9 | = -8/-4

=> |x + 9| = 2

=> ( | x + 9 | )² = 2²

=> x + 9 = ±2

=> x = -9 +2 , -9-2

=> x = - 7 , -11

Option 4 is correct.

Answer:

x = - 7 , - 11

Step-by-step explanation:

[tex]-4 | x +9| = - 8\\\\\frac{-4}{-4} |x+9| = \frac{-8}{-4}\\\\1 | x+9| = 2\\\\x+9 = - 2\ , x + 9 = 2\\\\x + 9 - 9 = - 2 - 9 , \ x + 9 - 9 = 2 - 9\\\\x + 0 = - 1 1 \ , \ x + 0 = - 7\\\\x = -11 \ , \ x = - 7[/tex]

a trader sold an article at 10% profit if he had sold it at 10% loss,it would yield RS 140 less than the previous selling price.find the cost price of the article.​

Answers

Answer:

CP = ₹ 700

Step-by-step explanation:

Let the cost price be 'x'

SP = [tex](\frac{100+Profit}{100})*CP[/tex]

   [tex]= \frac{100+10}{100}*x\\\\=\frac{110}{100}*x\\\\= \frac{11}{10}x[/tex]

If it had been sold are 10% loss, then

SP = [tex](\frac{100-loss}{100})*CP[/tex]

     [tex]=\frac{100-10}{100}*x\\\\=\frac{90}{100}*x\\\\=\frac{9}{10}x[/tex]

Difference in both the selling price =  140

[tex]\frac{11}{10}x-\frac{9}{10}x=140\\\\\\\frac{2}{10}x=140\\\\\frac{1}{5}x=140\\\\ x = 140*5\\x = 700[/tex]

Which expression is equivalent to x2 - 17x - 60?​

Answers

Answer:

(x-20) (x+3)

Step-by-step explanation:

x^2 - 17x - 60

What two numbers multiply to -60 and add to -17

-20 * 3 = -60

-20 +3 = -17

(x-20) (x+3)

Answer:

option A is correct

Step-by-step explanation:

x^2 - 17 - 60

using middle term break method

x^2 - (20 - 3)x - 60

x^2 - 20x + 3x - 60

x(x - 20) + 3(x - 20)

(x + 3)(x - 20)

What is the DMS measure of an angle that is 3.7 radians?
A. 11° 37' 26"
B. 0° 3' 52.5"
c. 211° 59' 39.6"
D. 3° 42' 0"

Answers

C. Because it equals to the degrees to the 3.7 radians

D equals f plus fx, solve the equation for x

Answers

Answer:

question says D = f + fx,

then,

D = 2fx

so,

D/2f = x

1
2
30mm
TIME REMAINING
02:54:29
A used car dealer prices her cars so that she makes a minimum profit of 15% on each car sold. If she acquired a car
for $4,500, which inequality can be used to determine the acceptable selling prices, p, of that car?
SESE
O 1.15ps4,500
O 1.15p24,500
O P51.15(4,500)
O p21.15(4,500) W
Submit

Answers

I would say probably A

Please show the steps. and the answer

Answers

Answer:

$321562.50

Step-by-step explanation:

Exponential growth can be modeled by the formula [tex]y = a(1+r)^{x}[/tex] , with y representing the final value, a being the starting value, r being the growth rate, and x being the number of time intervals passed.

To figure out the rate, we must use the values given from the months we have data of. Our starting value is 60,000 , ending value is 105,000 , and given that monthly sales are given, we can assume that sales grew exponentially each month. There were 4 years, or 48 months, that the store had to grow. Our formula is thus

[tex]105000 = 60000(1+r)^{48}\\[/tex]

To solve for r, we can first divide both sides by 60,000 , then put each side to the power of 1/48, resulting in

[tex]105000/60000 = (1+r)^{48}\\1.75 = (1+r)^{48}\\\\1.75^{1/48} = 1+r[/tex]

Since we know our rate, and there are 8 years/96 months between January 2005 and January 2013, we can make our starting value 105,000 , plug (1.75)^(1/48) for r and 96 for x in [tex]y = a(1+r)^{x}[/tex], and go from there.

Our final value is then

[tex]y = 105000(1.75^{1/48})^{96}\\y = 105000(1.75^{2})\\y = 321562.5[/tex]. We were able to turn 1.75^(1/48)^(96) into 1.75² using the exponent rule stating that x^y^z = x^(y*z)

1/6 of a farm is planted maize,1/4 is planted beans and the remaining part is planted potatoes.What fraction of field is planted potatoes?

Answers

Answer:

7/12

Step-by-step explanation:

fraction of field is planted potatoes = 1 - sum of fraction of farm planted with maize and beans

sum of fraction of farm planted with maize and beans  =

[tex]\frac{1}{6} + \frac{1}{4}[/tex]

[tex]\frac{2 + 3}{12} = 5/12[/tex]

1 - 5/12 = 7/12

What is the value of x in the equation 5x−6=−36?

Answers

Answer:

5x−6=−36

5x=-30

X=-6

5*(-6)-6=-36

-30-6=-36

-36=-36

Your Welcome

BIFFY OUT!!!

Answer:

x=(-6)

Step-by-step explanation:

So first do the inverse operation.

5x-6=(-36)=5x+(-6)=-36

Subtract the constant

-36-(-6)=-36+6=-30

5x=(-30)

x=-6

solve it : -

[tex] \sqrt{8 \times 5 \times 10} [/tex]
______​

Answers

Answer:

20

Step-by-step explanation:

8 * 5 = 40

40 * 10 = 400

√400 = 20

Answer:

20

Step-by-step explanation:

sqrt(8*5*10)

sqrt(400)

sqrt(20*20)

20

Find the y- intercept of the rational function.

Answer choices:

A.) (0,-2)
B.) (-2,0)
C.) (0,6)
D.) (6,0)

Answers

Answer:

A. (0,-2)

Step-by-step explanation:

Meaning of a rational number is a number that can be expressed as the quotient or fraction

p/q of two integers, a numerator p and a non-zero denominator q.

Answer:

(A). (0,-2)

Step-by-step explanation:

y-intercept means the points in which the funtion crosses the y-axis. According to the graph you can see that at (0,-2) it crosses the axis and therefore (0,-2) is the answer.

If this helps you, please give brainliest!

64 of 80
Express as percentage​

Answers

Answer:

80%

Step-by-step explanation:

64/80=8/10

Answer:

80%

Step-by-step explanation:

First divide 64 by 80 then multiply answer by 100 which gives you 80

solve for x, show work please!! 20 points.

Answers

Option B: (10)

Step-by-step explanation:

Here,

13x - 5 = 11x + 15. [Since corresponding angles are similar in parallel lines]

=> 13x - 11x = 15 + 5

=> 2x = 20

[tex] = > x = \frac{20}{2} [/tex]

=> x = 10 (Ans)

The answer would be B

Which could be the resulting equations when Andre elimates one of the variables?

Answers

Answer:

120

Step-by-step explanation:

no nonp

Rikki decided to collect data to determine if a runner's time and speed are correlated. She determined the data to have a correlation coefficient of −0.5. What does this r value indicate?

Answers

Best answer


the R value in the calculator
also known as the amount of correlation the data points fit

Nina has 465 pennies in a jar. Daryl has 348 pennies in a jar. How many pennies do they have in all?

Answers

Answer:

813

Step-by-step explanation:

you add them together

Pls give an actuel answer to this question. Thx :). WIll give brainest.

Answers

Answer:

47

Step-by-step explanation:

47

4 is 3 less than 7 so fits the requirement for the first part

47 reversed = 74

47 + 74 = 121

Answer:

47

So the number in the unit digit is x since it is unknown.

the number in the tens digit is 3 less than x which can be expressed as x-3.

we have to multiply x-3 by 10 since x-3 is supposed to represent the digit in the tens place. so we have 10(x-3)+x (we are adding x because in any number we always add the tens digit by the ones, for example, 13, 10 + 3)

the reverse number would instead be x in the tens place and (x-3) in the ones place so the equation would be 10x+(x-3)

10(x-3)+x + 10x+(x-3) is equal to 121.

distribute 10(x-3), 10x-30

10x - 30 + x +`10x+x-3

Add like terms, 10x+x and -30-3

11x-33+11x

11x+11x = 22x

so we have 22x-33=121

add 33 to both sides to isolate 22x

121+33= 154

22x=154, divide both sides by 22

154/22 = 7

x=7 but this is only the ones digit.

10(x-3)+x is the equation, so replace x with 7

10(7-3)+7

7-3 = 4 and 4*10 = 40

40 + 7 = 47

original number is 47

PLEASE HELP I’LL GIVE BRAINLIEST

What is the slope of the line shown below?
10+
(-6, 3) 5+
(12,6)
15
-10-
o A. - 1
O B. 6
O C.-6
OD

Answers

Answer:

B

Step-by-step explanation:

B

Answer:

the most likely answer is D 1/6

Step-by-step explanation:

Im not 100% sure

but hope this help if so can you mark me brainiest

thank you

provide explanation too please !


a piano teacher teaches 8 lessons in 6 hours.
the lessons are all the same length.
how long is one lesson, in minutes?

Answers

1 hour is 60 minutes

6 hours x 60 = 360 total minutes

Divide total time by number of lessons:

360/8 = 45

Each lesson was 45 minutes

the quotient of 55 and x

Answers

Answer:

the should be one more piece of information..

Step-by-step explanation:

may be your answer is

55/x

what is (x+2)(x-2) equal ?

Answers

(x - 4)^2 , i hope this helps

Answer:

x^2 - 4

Step-by-step explanation:

since it is in the form of

a^2 - b^2 = (a + b)(a - b)

u can directly write x^2 - 2^2

=x^2 - 4

process :

(x + 2)(x - 2)

=x(x - 2) + 2(x - 2)

=x^2 - 2x + 2x - 4

=-2x and plus 2x gets cancel

=x^2 - 4

Other Questions
Prepare the Statement of Retained Earnings from the Adjusted Trial Balance and Income Statement. Within each section of the statement, use the drop-down menus to enter the accounts in Chart of Accounts order and select the account balances. SMART TOUCH LEARNING SMART TOUCH LEARNING Adjusted Trial Balance December 31, 2016 Income Statement Month Ended December 31, 2016 Balance Debit Credit Revenue: Account Title Service Revenue 51,300 Cash 16,900 Accounts Receivable 9,300 Expenses: 2,200 Office Supplies 200 Depreciation Expense--Furniture Interest Expense 300 Prepaid Rent 11,200 3,300 Rent Expense Furniture 19,700 Salaries Expense 3,900 Accumulated Depreciation--Furniture 6,700 Accounts Payable 900 2,200 Supplies Expense Total Expenses 10,600 Salaries Payable 500 Net Income Interest Payable 40,700 300 Unearned Revenue 5,600Notes Payable 7,900 Common Stock 11,000 Retained Earnings 11,200 Dividends 28,800 Service Revenue 51,300 Depreciation Expense-- Furniture 2,200 Interest Expense 300 Rent Expense 3,300 Salaries Expense 3,900 Retained Earnings, December 31, 2016 23,100 Supplies Expense 900 Total 96,700 96,700 Find the surface area and the volume of the figure Round to the nearest tenth if needed. What is the least number of cuts you would need to make to cut a 3 by 3 by 3 inch block of cheese into 1 by 1 by 1 inch blocks of cubes? Qu significa el Nacional aqu? Y a qu se refiere? A los saludos y los vivas de la gente, Gallardo contestaba con una sonrisa. A su lado iba el Nacional, el pen de confianza, un banderillero, diez aos mayor que l. who was the first president of Kenya and when did he demise Country Day's scholarship fund receives a gift of $ 185000. The money is invested in stocks, bonds, and CDs. CDs pay 4.75 % interest, bonds pay 3.3 % interest, and stocks pay 7.5 % interest. Country day invests $ 20000 more in bonds than in CDs. If the annual income from the investments is $ 9560 , how much was invested in each vehicle? The values used in the scale of pH and pOH are derived from a system designed by ______.CurieGordonsenDaltonSorenson Find the Pythagorean triplets whose one number is 24. Statement of Cash Flows (Indirect Method)Use the following information regarding the Lund Corporation to (a) prepare a statement of cash flows using the indirect method and (b) compute Lund's operating-cash-flow-to-current-liabilities ratio.Accounts payable increase $13,500Accounts receivable increase 6,000Accrued liabilities decrease 4,500Amortization expense 9,000Cash balance, January 1 33,000Cash balance, December 31 22,500Cash paid as dividends 43,500Cash paid to purchase land 135,000Cash paid to retire bonds payable at par 90,000Cash received from issuance of common stock 52,500Cash received from sale of equipment 25,500Depreciation expense 43,500Gain on sale of equipment 6,000Inventory decrease 19,500Net income 114,000Prepaid expenses increase 3,000Average current liabilities 150,000a. Use negative signs with cash outflow answers.LUND CORPORATIONStatement of Cash FlowsFor Year Ended December 31Cash Flow from Operating ActivitiesNet Income AnswerAdd (deduct) items to convert net income to cash basisDepreciation AnswerAmortization AnswerGain on Sale of Equipment AnswerAccounts Receivable Increase AnswerInventory Decrease AnswerPrepaid Expenses Increase AnswerAccounts Payable Increase AnswerAccrued Liabilities Decrease AnswerCash Flow Provided by Operating Activities AnswerCash Flow from Investing ActivitiesSale of Equipment AnswerPurchase of Land AnswerCash Used by Investing Activities AnswerCash Flow from Financing ActivitiesIssuance of Common Stock AnswerRetirement of Bonds Payable AnswerPayment of Dividends AnswerCash Used by Financing Activities AnswerNet Decrease in Cash AnswerCash at Beginning of Year AnswerCash at End of Year Answerb. Operating-cash-flow-to-current-liabilities ratio (Round answers to two decimal places.) Assume that you purchased a new car today and financed $55,000 of the price on a 72-month payment contract with a nominal rate of 6.00%. Further, assume that you plan on paying off the balance of the car loan after you make your 48th payment. How much will your loan balance be when you pay off the car? How many milliliters of a 0.40%(w/v) solution of nalorphine must be injected to obtain a dose of 1.5 mg? which rock layer is the youngest? The three steps which will create triangular arbitrage profit are as follows: first step, convert ____; second step, convert _______, and third step, convert ______. a) USD to GBP; CHF to GBP; CHF to USD b) USD to GBP; GBP to CHF; CHF to USD c) USD to CHF; GBP to CHF; GBP to USD d) USD to CHF; CHF to GBP; GBP to USD The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer in simplest form. as a student what can be your greatest contribution to the community? what is the value of a+bc when a=4, b=6 and c =2? also please include how to do it step by step :) Explain whether each of the following statements is true or false. The marginal rate of substitution (MRS) diminishes as an individual moves downward along the demand curve. Assume the statement refers to good X with price Upper P Subscript Upper X , where good X is measured on the horizontal axis of an indifference map and good Y is measured on the vertical axis. A 17-kg sled is being pulled along the horizontal snow-covered ground by a horizontal force of 33 N. Starting from rest, the sled attains a speed of 1.6 m/s in 9.8 m. Find the coefficient of kinetic friction between the runners of the sled and the snow. Two identical ambulances with loud sirens are driving directly towards you at a speed of 40 mph. One ambulance is 2 blocks away and the other is 10 blocks away. Which of the following is true? [Note that pitch = frequency.]a) The siren from the closer ambulance sounds higher pitched to you.b) The siren from the farther ambulance sounds higher pitched to you.c) The pitch of the two sirens sounds the same to you.d) The siren from the farther ambulance sounds higher pitched, until the closer ambulance passes you. solar panels use which form of energy