X^3+3x^2-19/x-2
Find the quotient and remainder using synthetic division:

The quotient is
The remainder is
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Answers

Answer 1

Step-by-step explanation:

x³ + 3x² - 19  ÷ x - 2 = x² + 5x + 10 rem 1

x³ -  2x²

      5x² - 19

      5x² - 10x

               10x - 19

               10x - 20

                         1

The quotient is    ⇒ x² + 5x + 10 The remainder is ⇒  1
Answer 2

Answer:

quickly:

x-2=0 x^3+3x^2-19

x=0+2 = 2^3+3(2)^2-19

x=2 = 8+6^2-19

=8+36-19

=42-19

=23

The remainder is 23


Related Questions

Miss Johnson has in her classroom closet 32 boxes with 245 counters. She wo

to redistribute them and share them equally in 25 bags for a class activity.

a) How many counters will she put in each bag?

b) Will she have any counters left? If yes, how many?

Answers

Answer:

she will put 9 counters in each bag

she will have 20 counters left over

Answer:

a. 9 each

b. yes she will have 20 left

Step-by-step explanation

245/25=9.8 but if equally it will be 9 with a remainder of 20

that solves everything

Phil is going to purchase a home with a sale price of $225,000. He is able to put 20% down for her down-payment and get a mortgage for the balance. The cost of home insurance is $3,200 yearly. The taxes are $1,170 yearly. He is trying to decide between a 30 year fixed loan and a 15 year fixed loan. Interest rate for the 30-year mortgage is 3.75%. Interest rate for the 15-year mortgage is 2.85%. Phil's credit score is 725.



5) What will his monthly payment be, including taxes, insurance, and other fees, rounded to the nearest dollar, if he chooses the 30 year fixed?

6) How much will Nick have paid total for the house for the 30-year fixed mortgage?

7) What will his monthly payment be, including taxes, insurance, and other fees, rounded to the nearest dollar, if he chooses the 15 year fixed?

8) How much will he have paid total for the house if he does a 15-year mortgage?

Answers

Answer:

this is hard too

Step-by-step explanation:

When Damian runs the 400 meter dash, his finishing times are normally distributed
with a mean of 60 seconds and a standard deviation of 1 second. Using the empirical
rule, determine the interval of times that represents the middle 99.7% of his finishing
times in the 400 meter race.

Answers

The middle 99.7% is within 60 seconds to 63 seconds.

The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.

Given that:

mean (μ) = 60 seconds, standard deviation (σ) = 1 second

99.7% are within three standard deviations = μ ± 3σ = 60 ± 3(1) = (57, 63)

The middle 99.7% is within 60 seconds to 63 seconds.

Find out more at: https://brainly.com/question/4518679

Of the 50 students in cooking club, 30% are in 7th grade. How many actual students are in 7th grade?

Answers

Answer:

15 of them are in 7th grade

Step-by-step explanation:

Slove the followings.


1. Use your calculator to work out the weight of rubbish in each category.
2. A household produces 1.2 t of rubbish in a year. How many adults live in the house?
3. a. How much rubbish would an adult produce in a year if he recycled the glass, paper, and card?
b. What if he also had a compost heap at foot of his garden for vegetable and decomposable material?​

Answers

2. The number of adults who live in the house is 3 (1,200/400).

3.a. If an adult recycled the glass, paper, and card that have 42% of the rubbish, the adult will generate 232 kg (400 kg x (1 - 42%) of rubbish.

b. If the adult, in addition, had a composite for vegetable and decomposable material, he will generate 152 kg (400 kg x (1 - 62%).

Data and Calculations:

1 ton = 1,000 kg

Weight of rubbish produced by an adult per year = 400 kg

Total kg of rubbish produced by the family = 1,200 kg (1,000 x 1.2)

Percentage of Vegetable and decomposable material = 20%

Percentage of glass, paper, and card = 42% (33% + 9%)

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Jane is going to purchase a home in a gated community with a sale price of $250,000. She is able to put 20% down for her down-payment and get a mortgage for the balance. The community has Homeowner Association dues of $200 per month. The cost of home insurance is $3,600 yearly. The taxes are $1,200 yearly. She is trying to decide between a 30 year fixed loan and a 15 year fixed loan. Interest rate for the 30-year mortgage is 3.5%. Interest rate for the 15-year mortgage is 2.75%. Jane's credit score is 585.

1) What will her monthly payment be , including taxes, insurance, and other fees, rounded to the nearest dollar, if she chooses the 30 year fixed?

2) Assuming she makes monthly payments for 30 years, How much will Jane have paid total for the house at the end of the 30 years? Don't forget the down-payment.

3) What will her monthly payment be rounded to the nearest dollar, including taxes, insurance, and other fees, if she chooses the 15 year fixed?

4) Assuming she makes monthly payments for 15 years, How much will Jane have paid total for the house at the end of the 15 years? Don't forget the downpayment.

Answers

Answer:

Step-by-step explanation: this is hard

Two angles are complementary. The smaller angle is 34 degrees less than the larger angle. What is the measurement of the smaller angle?

Answers

Answer:

56

Complementary means 90

Subtract 34 from 90

90-34 = 56

Enter your answer and show all the steps that you use to solve this problem in the space provided.
The ratio of boys to girls in Mrs. Williams’s class is 2 to 5. There are 15 girls in the class. What is the total number of students in Mrs. Williams’s class?

Answers

Answer:

It seems like the answer would be 21 students.

Step-by-step explanation:

5 times 3 is 15 so 15 girls

2 times3 is 6 so 6 boys

15+6=21

I hope this helps :))

A hardware store mixed 7 gallons of red paint with every 11 gallons of blue paint to make purple paint. Which ratio of gallons of red paint to gallons of blue paint will make the same shade of purple paint?

Answers

Answer:

2 b + 6 r = 2 * 24

5 b + 3 r = 2 * 21 ... 10 b + 6 r = 84

subtracting equations (to eliminate r) ... 8 b = 36

solve for b , then substitute back to find r

PLEASE HELP URGENT ASAP DUE TOMORROW PLSSSSS
∫x²cos(2x³)dx

Answers

Answer:

-222

Step-by-step explanation:

recursive rule for 1 4 9 16

Answers

Step-by-step explanation:

The rule is to add 5 to each number to make next number

1 4 9 16 21 26 31 36 41

Find all perfect squares between 100 and 300.

Answers

Answer: The answer in the first image.

Explanation: The explanation is in the second image.

Wayne Company is considering a long-term investment project called ZIP. ZIP will require an investment of $136,017. It will have a useful life of 4 years and no salvage value. Annual cash inflows would increase by $80,000, and annual cash outflows would increase by $41,900. Compute the cash payback period

Answers

Answer:

3

Step-by-step explanation:

dont ask me

i'm doing this for points, don't question it

a box 4cm by 6cm by 8cm is painted on all six faces and then cut into cubes with the 2 cm sides. how many oof these cubes have only one side painted?

Answers

Answer:

hola saludos desde kansas city

Solve the given equation.

Answers

X = 10 is your answer

Select all of the trip that would take 2 hours

Answers

Answer:

what are your options ??

Step-by-step explanation:

You flip three coins. What is the probability of getting at least two heads? How do you know?

Answers

Answer:

2/3

Step-by-step explanation:

Pls help with part b (pretend the work there isn’t there because it’s wrong)

Answers

40/70 = 57%
60/85 = 70%
43/65 = 66%

arithmetic sequence, help with #18 plz

Answers

Answer:

15th term is 29/4

Use Arithmetic equation

a1 = 1/4

d= common difference = 2/4

a15 = a1 + (n-1) d

a15 = 1/4 + (15 - 1) 2/4

a15 = 1/4 + 14 (2/4)

a15 = 1/4 + 7

a15 = 29/4 or 7 1/4

A motorboat moves across a lake at a constant speed. When it begins, it is 28
km from the shore. After 12 minutes, it is 4 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y=-12x+28
B. y=-2x + 28
c. y = 2x+28
D. y = 12x + 28

Answers

Answer: B. y= -2x+28

Steps:

In the equation, take,"y" as result of the distance of the motorboat from the shore.

Now take the "x" value as the time taken. And hold the unit of x as 12 because you already know that in 12 minutes the motorboat is 4km far from the shore. Then solve the four equations and find out which ones value of,"y" comes 4

After doing all the equations i m pretty sure you will that B. y=  -2x + 28

y= -2 * 12 + 28

y= -24+28

y= 4

Answer:

The answer is B

Step-by-step explanation:

How do you know where to place a decimal in a quotient?

Answers

Divide. Place decimal point in the quotient. It should be placed directly above the decimal point in the dividend.

If b= 62 degrees and c=24, find b.

Answers

Answer:

21.2

Step-by-step explanation:

b = sin of angle B times length of c

b = 24*sin(62) = 21.1907

Answer A

21.2

Step-by-step explanation:

[35 - (8 + 2)x 3 ] what is the answer

Answers

Answer:

5

Step-by-step explanation:

[35 - (8 + 2)x 3]

[35 - (10)x 3]

[35 - 30]

[5]

Evaluate 7+4b when b= 3

Answers

Answer:

19

Step-by-step explanation:

7+ 4(3)

7+12= 19

Mark me brainliest!!

PLZ HELP ME WITH MY MATH HOMEWORK!!! SHOW WORK!!!

Answers

Answer:

Hope it will help you...

Answer:

Step-by-step explanation:

Can someone help me with his I will mark u brilliant

Answers

Answer: 1260 books

Step-by-step explanation:

2/5=0.4

19000x0.4=7600

12500x0.4=5000

7600+5000=12600

1/10=0.1

12600x0.1 = 1260

/Answer:

1,260 books (or C)

Step-by-step explanation:

1. 2/5 of fiction (12,500) are out, so 5,000 are out

2. 2/5 of non-fiction (19,000) are out, so 7,600 are out

3. Total books checked out are 12,600

4. 1/10 of checked out books are due this week, so 1,260 books (10%)

The value of a newly purchased computer will decrease over time. The value of the computer can be modeled by the following function:

f(t)=200+1,200(0.73)2t,

where t is measured in years since the computer was purchased.

Use the drop-down menus to complete the explanation of how the function models the computer's value over time.

Answers

Answer:

$14000200

Step-by-step explanation:

a)

Substitute 0 for t and evaluate the expression. Recognize that any value to the zero power is 1.

  f(0) = 200 +1200(0.73^(2·0)) = 200 +1200·1

  f(0) = 1400

When t=0, the value of the computer is 1400 dollars.

__

b)

The exponential expression 1200(0.73^(2t)) has a horizontal asymptote of 0. It gets closer and closer to 0.

__

c)

The exponential term gets closer to 0, so the function value gets closer to ...

  f(∞) ≈ 200 +0 ≈ 200

f(t) gets closer and closer to 200.

Answer:

1) 1,400

2) 0

3) 200

please help ill mark brainliest​

Answers

Answer:

x=28

Step-by-step explanation:

i was doing this task in math and I came across this:
x-12x=0.88x
.
can someone plz explain why is this equal to this?
I understand it's simplified, but how?​

Answers

Answer:

mx+b+a= x-12x=0.88x

Step-by-step explanation:


At a movie theater, 360 people can see a particular movie over a period of 3 hours. At this
rate, how many people can see this movie over a period of 12 hours? (1 point)
A. 1,080
B. 1,440
C. 3,240
D. 4,320

Answers

Answer:

B. 1,440

Step-by-step explanation:

Answer:

Step-by-step explanation:

think about it how many groups can see the movie in 12 hours. that would be 4, now multiply 360 people by 4. if you do it right you answer should be 1440.(hope this helps :)   )

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