How do you find the Remainder when a polynomial in x is divided by a binomial of the form x-r?​

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

If a polynomial f(x) is divided by (x - r) then the remainder is f(r)


Related Questions

A used car is advertised for sale at "$300 down and $65 a month for 12 months. What is the total price of the car?​

Answers

Answer:

It will be 780

Step-by-step explanation:

explanation is that I multiply 65$ by 12

A litter of puppies consists of black puppies and white puppies. A

puppy is randomly selected and removed from the litter. Then another

random selection is made from the remaining puppies.

Event A: The first

selection is a black

puppy.

Event B: The second

selection is a white

puppy.

Is A dependent on B?

Answers

We want to see if the first selection is dependent on the second selection, we will see that no, the first selection can not depend on a selection that did not happen yet.

So the situation is:

We have a group of puppies, some are black, some are white.

Let's say that there are N puppies in total, n₁ are black, n₂ are white, such that:

n₁ + n₂ = N

Now we have that the first selection, event A, is a black puppy. The probability is just the quotient between the number of black puppies and the total number of puppies:

q = n₁/N

Then now we have:

N - 1 puppies in total.n₁ - 1 black puppiesn₂ white puppies.

Now for the second selection, event B, the probability of selecting a white puppy is:

P = n₂/(N - 1)

Notice that because there are fewer black puppies than before (because we took one) the denominator decreases, thus, the probability of getting a white puppy increases.

So clearly event B depends on event A.

Now the question is:

Is A dependent on B?

No, A can not depend on event B, because event A happens first. The probability of the first event is always q = n₁/N.

If you want to learn more, you can read:

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27 x 9^3x can be written in the form 3^k where k is an expression in terms of x. Find k

Answers

Answer:

27 x 9^3x = 3^3 x 9^3x = 3^3 x (3^3)^3x = 3^3 x 3^9x = 3 ^3+9x

3^3+9x = 3k

ln(3^3+9x) = ln(3^k)

3+9x(ln3)=k(ln(3))

k= 3(1+3x)/ln(3)

Step-by-step explanation:

ln(x^n) = n(ln(x))

Rachel will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55.96 and costs an additional $0.15 per mile driven. The second plan has an initial fee of $67.96 and costs an additional $0.11 per mile driven. How many miles would Rachel need to drive for the two plans to cost the same?​

Answers

Answer:

300 miles

Step-by-step explanation:

$67.96 + $0.11x = $55.96 + 0.15x

x = 300

I hope this helps!

whats is 8:55 after 25 minutes

Answers

25 minutes after 8:55 is 9:20.

Complete the blanks in the materials list to find the total cost of the plumbing fixtures. The quantity of needed items is listed you have to figure the total cost of the materials for the job.

Answers

Answer:

$3,466.12 Hope this helped.

Kitchen sink total: $285.52
Bathtub total: $875.90
Sump pump total: $205.31
Water pump total: $375.10
Water heater total: $464.00
Water softener total: $429.99
Lavatory total: $694.02
Toilet total: $259.77
Laundry tubs total: $137.43
Total without tax: 3727.04
Tax: 260.89

Total with tax: 3987.93

what year was it, exactly 4 centuries before 1965?

Answers

Based on the number of years in a century, we can calculate that the 4 centuries before 1965 was 1565.

A century refers to a period of 100 years.

If we are looking for a period of 4 centuries therefore, this would be:

= 4 x 100

= 400 years

4 centuries before 1965 would therefore be:

= 1965 - 400

= 1565

In conclusion, the answer is 1565.

Find out more at https://brainly.com/question/17498856.

How many solutions does 7( X -5 ) = X +13

Answers

Answer:

x=8 (one solution)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7(x−5)=x+13

(7)(x)+(7)(−5)=x+13(Distribute)

7x+−35=x+13

7x−35=x+13

Step 2: Subtract x from both sides.

7x−35−x=x+13−x

6x−35=13

Step 3: Add 35 to both sides.

6x−35+35=13+35

6x=48

Step 4: Divide both sides by 6.

x=8

Answer:

x = 8 (one solution)

Step-by-step explanation:

7x - 35 = x + 13

-x            -x

6x - 35 = 13

     +35   + 35

6x = 48

divided by six on both sides

x = 8

NO LINKS NO FILES NEED HELP ASAP GET IT RIGHT YOU GET CROWN!!
Seriously no links or files

Answers

Answer: A = 27 units^2

Step-by-step explanation: If you cut the shaded region in half it's two rectangles so you have to find the area of it using the formula to find the area of a rectangle.

A = (w)(l)                                                                                                                     A = (3)(9)                                                                                                                   A = 27 units^2

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

d>-7

Step-by-step explanation:

first answer
d = greater than or equal to 7

Can someone help me with question 8 please this is due tomorrow

Answers

Answer:

New eq: 11x + 1. The line will become steeper.

Step-by-step explanation:

Slope is rise over run. In the original equation, y increased 4 times everytime x increased by one. In the new equation, y increased 11 times everytime x increased by one making it steeper.

30/x = 54/81 what value does x have to be to make it true

Answers

Answer:

x=45

Step-by-step explanation:

30/x = 54/81

30 = 54/81(x)

x = 30 ÷ 54/81

x=45

Answer:

x = 45

Step-by-step explanation:

30/x = 54/81

~Cross multiply

30 * 81 = 54 * x

~Simplify

2430 = 54x

~Divide 54 to both sides

45 = x

Best of Luck!

Find the perimeter. Simplify your answer.

Answers

Answer:

Step-by-step explanation:

p = 10x + 2 + 7x - 6 + 8x

p = 25x - 4

Answer:

To Find the perimeter we add all the sides,

perimeter = 10x + 2 + 7x - 6 + 8x

= 25x - 4...ans

Step-by-step explanation:

Hope it Helps you!!

The hanger image below represents a balanced equation.
27
V
Find the value of v that makes the equation true.
U =
I need the answer

Answers

Answer:

2x =3

The hanger image given in the figure represents balanced equation.

Then we have to write an equation to represent the image.

In balanced form left side = right side

x + x = 1 + 1 + 1

2x = 3

The value v is 9.

What is equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that is a structure showing a balanced hanger we need to find the value,

So we can say since the hanger is balanced therefore the weight both sides will be equal,

Therefore,

v + v + v = 27

3v = 27

v = 27

Hence the value v is 9.

Learn more about equation click;

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The temperature in Birmingham is 5°C colder than in London ( London temperature is 6 ). What is the temperature in Birmingham ​

Answers

Answer:

1˚C

Step-by-step explanation:

First, you take 5 away from 6

5 = 5°C colder than in London

6 = The temperature in London

1ºC.     6 minus 5 equals 1.

and also that is quite easy for high school.

Help! I give brainlest. Problem is in Image

Answers

Answer:

65

Step-by-step explanation:

let's place 9 in place of p and 4 in place of q. I will use a star in place of that symbol for the sake of my convenience having to look for it, apologies.

[tex]9 \star 4 = 9^2-4^2 = 81-16 = 65[/tex]

Answer:

65

Step-by-step explanation:

9^2-4^2=65

Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price.
What was the cost for 111 comic book?
\$

Answers

Answer:

$3.50

Step-by-step explanation:

111 is a sixth of 666 so its 21/6 which is 3 dollars 50 cents.

13. Find the distance between (-9, -1) and (-2,-6). Round to the nearest tenth.
A) 8.6
B) 12.1
C) 9.9
D) 13.0

Answers

Answer:

(A) 8.6

Step-by-step explanation:

distance =√((x_2-x_1)²+(y_2-y_1)²)

the actual distance is 8.602325.

rounded distance is 8.6

Someone please help with this math

Answers

Woahhh hot emo girls??

Find the circumference of the circle in terms of .
58 in.
a.1161 in.
b. 587 in.
c.232 in.
d. 33647 in.

Answers

Answer:

116π in

Step-by-step explanation:

Circumference = 2πr

Circumference = 2(58)π

Circumference = 116π

-Chetan K

Solve the inequality, m+15<6 ?

Answers

Answer:

m < -9

Step-by-step explanation:

m+15<6

Subtract 15 from each side

m+15-15<6-15

m < -9

Multi-Step:
Leigh wants to buy a bike for $429 and a helmet for
$38. If she saves $8 a week, about how many weeks will it take her
to save the money to buy the bike and helmet?
330

Answers

Answer:

roughly 58

Step-by-step explanation:

the price of the bike added to the price of the helmet is 467 dollars, and you divide it by the 8 dollars a week to get roughly 59 weeks, which it should all look like this:

429+38=467

467÷8=58.375 (round up)

Answer:

about 59 weeks

Step-by-step explanation:

What is the base of the expression 6^-4?

Answers

Answer:For this case we have that by definition it is fulfilled:

Where:

a: It is the base

b: It is the exponent

So, if we have the following expression:

-6 to the power of 4, is equivalent to:  

So we have to:

-6: It is the base

4: It is the exponent

-6: It is the base

4: It is the exponent

Step-by-step explanation:

State the reaction type and then balance equation __Na3PO4+___HCI=__H3PO4+__NaCl​

Answers

Balanced reaction:

[tex]\text{Na}_3 \text{PO}_4 + 3\text{HCl} \longrightarrow \text{H}_3 \text{PO}_4 + 3\text{NaCl}[/tex]

The reaction type is double replacement.

hihi pls help with geometry:)​

Answers

Answers:

problem 6) x = 5problem 7) x = 5problem 8) x = 4problem 9) x = 6

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

Explanation:

The angles with the similar arc markers are congruent angles. This is only when we consider any particular triangle isolated from the others.

Since we have 2 congruent angles, the triangles are considered isosceles. The congruent sides are opposite the congruent angles.

So we'll set the congruent side expressions equal to one another and solve for x. We ignore the side that isn't opposite one of the congruent angles. This applies to all four problems.

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

Work Shown for Problem 6:

3x = x+10

3x-x = 10

2x = 10

x = 10/2

x = 5

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

Work Shown for Problem 7:

x = 10-x

x+x = 10

2x = 10

x = 10/2

x = 5

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

Work Shown for Problem 8:

4x-12 = x

4x-x = 12

3x = 12

x = 12/3

x = 4

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

Work Shown for Problem 9:

2(x+3) = 18

2x+6 = 18

2x = 18-6

2x = 12

x = 12/2

x = 6

Or you can solve it like this

2(x+3) = 18

x+3 = 18/2

x+3 = 9

x = 9-3

x = 6

Billy and Michael have 2 lemonade stands. Billy charges $2 per lemonade plus a flat rate of $2.
Michael charges $3 per lemonade plus a flat rate of $1.

How many lemonades would they have to sell to be making the same amount of money?

Answers

1 lemonade.

2x+2=3x+1

-x+2=1
-x=-1
x=1 lemonade

a man earned £80.60 for an eight-hour day. how much would he earn at the same rate for a 38-hour week

Answers

Answer:

382.85

Step-by-step explanation:

hours. amount

8. 80.60

38. ??

=382.85

Brooke has a savings account. The account balance is $550.87 at the beginning of the month. The list below shoes all of the activity for one month.

- a deposit of $75.98
- a withdrawal of $34.88
- a deposit of $84.12

What is the balance in Brooke's savings account at the end of the month?

Answers

Answer:

676.09

Step-by-step explanation:

550.87 + 75.98 = 626.85

626.85 - 34.88 = 591.97

591.97 + 84.12 = 676.09 therefore that's the amount at the end of the month

3. Kyle and Michael a rup a lap around a track. Kyle gets a 50 a meter head start and runs 3 meters
per
second. Michael runs at a speed of 4 meters per second. How long will it take for Michael
to reach Kyle?

Answers

Answer:

50 second

Step-by-step explanation:

let the distance between Michael and kyle (s)

s= 50 m

we want to know how long it takes for Michael(speed 4 m/s ) to reach kyle(3m/s)

v = s/t

t = s/v

Vm = speed of Micheal

Vk = speed of kyle

v = ( Vm - Vk )

t = 50/(4-3) = 50 second

what is the formula for surface area of a pyramid?

what is the forumla for surface area of a square ​

Answers

for pysamid is ph+B2

hope it helps

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