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

The quotient is
The remainder is
Submit Question

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

Windstrong has an elevation of -28.7 feet, and Kennington has an elevation of 28.7 feet. Which of the following is true?
A.
Windstrong's elevation < Kennington's elevation
B.
Windstrong's elevation = Kennington's elevation
C.
Windstrong's elevation > Kennington's elevation

Answers

Answer:

b

Step-by-step explanation:

$5.15 per 5-pound bag

Answers

Answer: 1 pound = 1.03

Step-by-step explanation:

not sure what you wanted from this but here are possible answer

Hey there!

When you hear or see the word “per” in math, think of the question/word problem telling you to find the “for each”. This basically mean you’re dividing. So, let’s divide your numbers from each other.

$5.15/5 lb

= 5.15 ÷ 5 lb

= 5.15 ÷ 5 lb

= $1.03

Therefore, your answer SHOULD be: $1.03

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

the simple interest on a sum of rs 5000 at 4% p.a. for one year is __________.​

Answers

Answer:

Principal = Rs. 5000

Rate of Interest = 5%

Number of years = 2 y 3 m = 2 1/4 years

Interest = (P x N x R) / 100

ie (5000 x 9/4 x 5) /100= Rs. 562.50

(8,4) and has a slope of 5/2

Answers

I’m guessing you want the equation? Rise is 5, run is 2 (slope=rise/run). To find the equation, we need a y intercept. the graph must move 8 units left to reach the y axis. To move 8 units left in the negative direction, we must also move 20 units down (because the shift required is 4 times greater than the slope, we must multiply the other coordinate by 4 to find how far to move the coordinate). When x=0, y=(4-20). This can be written as y=-16. The equation would be y=(5/2)x-16

QUESTION 7
Find the slope of the line passing through the points (8, 3) and (9,7).

A. 4
B. -4
C. 1/4
D. -1/4

Answers

I got the X and Y wrong, its 4. Sorry! mark the other answer instead

Reason:

9 - 8 = 1

7 - 3 = 4

Because that 7 and 3 are Y, 4 goes over. so it makes a whole number

Answer:

A. 4

Step-by-step explanation:

yeah-ya............. right?

solve the inequality z + 9 > 6 z > ?

( Equations and Inequalities )

Answers

Answer:

You have to switch sides so the answer is x<z+9

Step-by-step explanation:

three hundred two times one hundred fifty three
302×153​

Answers

Answer:

46,206

Step-by-step explanation:

simple math

Answer:

the answer is 46,206

Step-by-step explanation:

Good luck!!!!

Does 28/4 have a remainder

Answers

No but it equals to 7 :)

Remainder=0

Quotient=7

Thanks!!

Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in the simplest form


3/4 divided by 3

Answers

3/4 divided by 3 is 1/4.

Step-by-step explanation:

3/4 ÷ 3

recall that the inverse of division is multiplication

=3/4 x 1/3

=1/4

Jaime is three years younger than his brother Keegan. In five years, the sum of their ages will be thirty-nine.
How old are they now?

Answers

Answer:

Keegan is 16 and Jamie is 13.

Step by Step Explanation:

So if we were to take the number 39 and divide it by 2, we would get 19.5. Since Jaime is 3 years younger, we would subtract 3 from one of the 19's. Then we would add 1.5 to both of the numbers since that 3 we subtracted has to go somewhere in that 39, and we come up with the numbers 21 and 18. Since it is asking how old they are NOW and not in the future, we subtract 5 from both numbers to account for the 5 years, and we end up with the years 16 and 13.

Math:

39÷2 = 19.5

19.5 19.5

-3

___________

16.5 19.5

+1.5 +1.5

___________

18 21

-5 -5

13 16

12 - (8x - 20) < 12
Plz answer question

Answers

[tex]12 - (8x - 20) < 12 <=> 12- 8x+20<12<=> -8x <12-20-12 \\<=>-8x <-20<=>8x>20<=>x>\frac{20}{8}=\frac{5}{2}[/tex]

ANSWER: x > 5/2

Ok done. Thank to me :>

Answer:

[tex]x = \frac{5}{2} [/tex]

Step-by-step explanation:

12-(8x-20)<12

12-8x+20<12

-8x<12-12-20

-8x<-20

divide both by negetive 8

x>5/2

x> 2.5

identify which of the following in NOT equivalent to
[tex]2 \frac{2}{3} [/tex]

Answers

[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\boxed{A}\qquad \sqrt[4]{8}\implies \sqrt[4]{2^3}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{B}\qquad \sqrt[4]{2^3}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{C}\qquad 2^{\frac{1}{4}}\times 2^{\frac{1}{2}}\implies 2^{\frac{1}{4}+\frac{1}{2}}\implies 2^{\frac{1+2}{4}}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{D}\qquad \left( 2^{\frac{1}{4}} \right)^{\frac{1}{2}}\implies 2^{\frac{1}{4}\cdot \frac{1}{2}}\implies 2^{\frac{1}{8}}\qquad \textit{\large \checkmark}[/tex]

-12/5+3/10/11/14-(-9/14)

Answers

Answer:

-6/5

Step-by-step explanation:

I hope it helps, bye

Put these fractions in order from greatest to least:

Answers

Answer:

[tex]\dfrac 34 , \dfrac 23 , \dfrac 35[/tex]

Step-by-step explanation:

[tex]\dfrac 34 >\dfrac 23 >\dfrac 35[/tex]

A jet can carry up to 200,000 liters of fuel.it used 130,000 liters of fuel during a flight. What percentage of the fuel capacity did it use on this flight

Answers

Percentage=(fuel consumed/ full fuel capacity) *100%
=(130000/200000)*100%
=65%

May someone help me with this please?

Answers

Answer:

the first one

Step-by-step explanation:

plz give brainliest

The table below shows the number of tadpoles in a pond after a certain number of months.
PLEASE HELP

Answers

Answer:   Choice D)  6 months to 10 months

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

Explanation:

x = number of monthsy = number of tadpoles

Highlight the rows that correspond to 6 months and 10 months.

This leads to the two points (6,330) and (10,460).

Apply the slope formula. This is because the slope is the average rate of change.

m = (y2-y1)/(x2-x1)

m = (460-330)/(10-6)

m = 130/4

m = 32.5

This is the average rate of change from month 6 to month 10.

Let A = 32.5 so we can compare it later.

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

Now let's focus on months 4 and 8

We get the two points (4, 300) and (8, 410)

Use the slope formula again

m = (y2-y1)/(x2-x1)

m = (410-300)/(8-4)

m = 110/4

m = 27.5

Let B = 27.5

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

For the third answer choice, we have the points (2,240) and (8,410)

Once again, use the slope formula.

m = (y2-y1)/(x2-x1)

m = (410-240)/(8-2)

m = 170/6

m = 28.33 approximately

Let C = 28.33

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

Lastly for choice D we have the points (4,300) and (10,460)

So,

m = (y2-y1)/(x2-x1)

m = (460-300)/(10-4)

m = 160/6

m = 26.67 approximately

Let D = 26.67

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

To recap everything, we found these four average rates of change for choices A through D

A = 32.5B = 27.5C = 28.33 (approximate)D = 26.67 (approximate)

We see that A is the largest of that group. Therefore, the greatest average rate of change of that group is from month 6 to month 10. This is why choice A is the final answer.

A test has twenty questions worth 100 points. The test consists True/False questions worth 3 points each and multiple choice questions worth 11 points each. Howmany multiple choice questions are on the test?

Answers

Multiple choice questions = 5

True questions = 15

Given that:

Total number of questions = 20

Total worth of point = 100

Multiple choice questions (M) = 11 points each

True false questions (T) = 3 points each

Hence,

M + T= 20 ____(1)

11M + 3T = 100 ____(2)

M = 20 – T

Using the relation in (2)

11(20 – T) + 3T= 100

220 – 11T + 3T= 100

220 – 8T = 100

-8Tf = 100 – 220

-8T = – 120

T = 120/8

T = 15

Mc = 20 – 15

Mc = 5

Multiple choice questions = 5

True false questions = 15

Please can u help me with this question

Answers

2x = 8*3
2x = 24
x = 24/2
x = 12

3x = 6*2
3x = 12
x = 12/3
x= 4

[tex]a) \\\\\dfrac {2x}{3} =8 \\\\\implies 2x = 8 \times 3 = 24\\\\\implies x = \dfrac{24}2 = 12\\\\b)\\\\\dfrac{3x}2 = 6\\\\\implies 3x = 6\times 2 = 12\\\\\implies x = \dfrac{12}3 =4[/tex]

Simplify the square root of 5 times the cube root of 5.

I know the answer is, five to the five sixths power but I would like to know the steps to solve it.
Please help me with it, I'm not doing so well right now, and I need help.

Answers

Answer:

Step-by-step explanation:

help as soon as possible
The greatest common factor of y^4. y^6 and y^5 is

Answers

Answer:

Answer:GCF: y^4

Step-by-step explanation:

Factors of:

y^4= (y) (y) (y) (y) = y^4 (1)

y^5 = (y) (y) (y) (y) (y) = y^4 (y)

y^6 = (y) (y) (y) (y) (y) (y) = y^4(y^2)

A positive real number is 2 less than another. When 4 times the larger is added to the
square of the smaller, the result is 16. Find the numbers.

Answers

Answer:

by how i was taught its 2

Step-by-step explanation:

If 3 basketball game tickets and 4 football game tickets were purchased for $50.25, and if 5 basketball game tickets and 5 football game tickets were purchased for $71.25, what are the costs of basketball game tickets and football game tickets?

Answers

Answer:

Basketball: $6.75

Football: $7.50

Step-by-step explanation:

lmk if you want an explanation

The costs of basketball game tickets and football game tickets are $7.5 and $6.75 respectively.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

If 3 basketball game tickets and 4 football game tickets were purchased for $50.25, and if 5 basketball game tickets and 5 football game tickets were purchased for $71.25.

The linear equation can be framed:

3x + 4y = 50.25

5x + 5y = 71.25

Here x is the cost of basketball game tickets and y is the football game ticket.

After solving the above linear equation by substitution method,

5([50.25 - 4y]/3) + 5y = 71.25

y = $6.75

x = $7.5

Thus, the costs of basketball game tickets and football game tickets are $7.5 and $6.75 respectively.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

which expression represents 100 less than 3 times the sum of 18 and 2

Answers

Answer: 3 times (18+ 2) - 100

3 (18+2) - 100 = -40

Step-by-step explanation:


Set A = 3, 4, 7
Set B = 4, 8, 9
What is the union of sets A and B?

Answers

Answer:

Step-by-step explanation:

A∩B = 4

4 is in both set so it unites them therefore it’s the union

13. Jay has 12 classic cars in his garage. He paid
$3,500 for each car 5 years ago. The cars are
currently worth $4,200 each. How much more
must the average value of the cars rise for the
combined value of these 12 cars to be exactly
$10,800 more than Jay paid for them?
A. $200.00
B. $700.00
C. $800.50
D. $ 841.67
E. $958.33
(May need worked out, please!?)

Answers

Answer:

I believe the answer would be A. $200.00

Step-by-step explanation:

This is because if jay has 12 cars that he paid 3,500$ each for, the total cost would have been $42,000.

And the current price is 4,200$ for each car.

If you add 200$ to each 4,200$ car, you get 4,400$

After, you take the amount for each car (4,400) and multiply it by 12 (the amount of cars purchased) and you get 52,800.

You then need to subtract the recent cost of 12 cars (52,800) by 42,000$ (the original cost for 12 cars) and you will get $10,800.

52,800-42,000=10,800

therefore, A.$200.00 would be the correct answer

I'm not sure if all calculations are correct, but I hope this helps! :)

The average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them. Therefore, the correct answer is A. $200.00.

To find out how much more the average value of the cars must rise for the combined value to be $10,800 more than what Jay paid for them, we need to calculate the difference between the current combined value and the total price Jay paid, and then divide it by the number of cars.

Given:

Number of cars (n) = 12

Price Jay paid for each car (P) = $3,500

Current worth of each car (W) = $4,200

Total price Jay paid (T) = n * P = 12 * $3,500 = $42,000

Current combined value of the cars (C) = n * W = 12 * $4,200 = $50,400

Difference in value = C - T = $50,400 - $42,000 = $8,400

Additional increase needed = $10,800 - $8,400 = $2,400

To find the average increase needed per car, we divide the additional increase by the number of cars:

Average increase per car = Additional increase / Number of cars = $2,400 / 12 = $200

Therefore, the average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them.

The correct answer is A. $200.00.

To know more about average value, refer here:

https://brainly.com/question/32515383

#SPJ2

how many degrees is 37 degrees warmer than -13

how many is 38 degrees warmer than -20

Answers

Answer:

98.6° Fahrenheit ( i did it in celsius sorry if i got it wrong)

Step-by-step explanation:

When z=−6, evaluate −2(z+9)−(−5) and −2⋅z−2⋅9+5 to show that −2(z+9)−(−5)=−2⋅z−2⋅9+5

Answers

Ignore this, I posted the wrong answer and I don't know how to delete it.

Answer:

Yes/true

Step-by-step explanation:

-2(z+9)-(-5)=-2⋅z-2⋅9+5

sostituisco la lettera dandogli un valore

=-2(-6+9)-(-5)=-2⋅(-6)-2⋅9+5

calcolo e tolgo le parentesi

=-2⋅3+5=12-18+5

Elimino i termini uguali

=-2⋅3=12-18

Somma e moltiplicazione tra i numeri

=-6=-6

allison made a playlist that included 9/12 country songs. what are two equivalent fractions that represent the part of the play list that is country songs. explain why your fractions are correct?

Answers

Answer:

3/4,18/24

Step-by-step explanation:

You can mutiply the numerator and denominator by the same number or divide it by the same number as long as it is a whole number. Ex. (9/3) over (12/3)=3/4. Or (9x2)/(12x2)=18/24

pls help... I need to write some words to post this​

Answers

Answer:

k=100, n=3, 1.5625, 10

Step-by-step explanation:

To find n and k, we can plug x and z in.

First we can try this for (1,100). We will get:

[tex]100=\frac{k}{1^{n} }[/tex]

Since 1 to any power is 1, we can assume that the denominator is 1 and therefore k=100.

Armed with k=100, we can plug numbers into the second equation.

[tex]12.5=\frac{100}{2^{n} }[/tex]

Moving [tex]{2^{n} }[/tex] to the left side, we get:

[tex]2^n=\frac{100}{12.5} }=8[/tex]

therefore we can solve and we see that n=3.

We can do the same for x=4, but since we have n, k, and x, we can plug these in to get z

[tex]z=\frac{100}{4^{3}} =1.5625[/tex]

We will do the same as previous but instead plug in x

[tex]\frac{1}{10}=\frac{100}{x^{3} }[/tex]

We isolate [tex]x^{3}[/tex] and get

[tex]x^{3} =1000[/tex]

Therefore x=10

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