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

PLEASE HELP!!

I got about half way through the problem but I ddont know hiw to solve the rest :\

solve the radical equation.
[tex] \sqrt{x + 3} - 1 = x[/tex]

Answers

Answer:

The answer is x = 1

Hope this helps! :)

(sqrt) x + 3 = x + 1

x + 3 = x^2 + 2x + 1

x + 3 - x^2 - 2x - 1 = 0

-x + 2 - x^2 = 0

x^2 + x - 2 = 0

(x - 1) (x + 2) = 0

x = 1, -2

^^no negatives/canceled

x = 1

The answer is x = 1
You welcome

De cuántas formas pueden mezclarse los siete colores del arco iris tomándolos de tres en tres?

Answers

Answer:

hi

Step-by-step explanation:

1+1=2

The length of a rectangle is 2.3 inches more than the width. Find the dimensions of the
rectangle if the perimeter is 28.6 inches. Show work.

Answers

Answer:

See image

Step-by-step explanation:

Let w=width

And let l=length

Perimeter is the distance all the way around the outside of the shape. Add up all the sides to find it.

Step-by-step explanation:

let the width of the rectangle=x

the length=x+2.3

Since perimeter=28.6

We know that perimeter of a rectangle is given by

P=2(l+w)

28.6=2(x+2.3+x)

28.6=2(2x+2.3)

28.6=4x+4.6

28.6-4.6=4x

4x=24

x=24/4=6

Therefore width is 6inches and length is 8.3inches

Graph the line that passes through the points (2,−3) and (4, "-3)and" determine the equation of the line.

Answers

Answer:

y=-3x+3

Step-by-step explanation:

Cuál sería el interés producido durante tres años, por un capital de s/30 000, al 5%

Answers

Answer:

2%

Step-by-step explanation:

Answer: la respuesta a tu pregunta es 2%

que tengas un gran día / noche!

Simplify: 5 + p > 3

A.p < 8
B.p > 8
C.p < - 2
D.p > - 2

Answers

Answer:

D) p > -2

Step-by-step explanation:

5 + p > 3

5 + p - 5 > 3 - 5

p > -2

Answer D.p>- 2
Step by step

What term best describes the graph of y=-15

Answers

Step-by-step explanation:

x,y = 0,-15

for another you have to draw Cartesian plane

Answer:

The answer is:- Zero slope

Step-by-step explanation:

Hope it helps you ✌️

A graph has a constant of proportionality of 35. Let y represent miles and x represent gallons.

What is the unit rate of the relationship?

Enter your answer in the box 100 POINTS WILL MAKE IT BRAINLIEST

Answers

X = 35y gallons per mile

You need to graph the linear function plz help hurry

Answers

Step-by-step explanation:

I'll try to get this out as as quickly as I can! In this scenario, we have a function m(x). We can also view m(x) as y to make everything easier to understand. It is said that m(x) = 1, which can also be interpreted as for whatever value x may be, the y value is 1. Whether x is -9, 0, 3, 1, or 2/3, the y-value will be 1. The table can be filled out with as many x-values as needed, with corresponding 1's for each.

Next, we have to graph. Try to visualize what this graph might look like. For whatever x-value given, the y-value will be 1. Our graph will have to be a horizontal line through the y-value (0, 1). This represents that for whatever x-value, the y-value will be 1.

Hopefully that's helpful! :)

The blood bank at a hospital has 1,200 units of blood, out of which 37% units are of blood group B+. A clinical researcher randomly selects 300 units of blood and finds that 33% of those are of blood group B+. To test his result, he randomly selects 200 units of blood and finds that 40% of those are of blood group B+. Which of the following is the reason there is a difference between the two percentages selected by the researcher?

Answers

The reason why the two percentages are different is that the sample does not reflect the characteristics of all the units of blood.

What is sampling?

Sampling is a statistical technique in which a sample of a statistical population is selected for the study. The objective of sampling is to ensure that its properties can be extrapolated to the total population.

Sampling is a way of saving resources, and at the same time obtaining results similar to those that would be achieved if a study of the entire population were carried out.

According to the above, the clinical researcher who selected a sample of the available blood units obtains different percentages because he selected randomly and this can modify the quantities of samples according to blood type.

Learn more about sampling in: https://brainly.com/question/350477

Tina wants to sew a piece of fabric into a scarf in the shape of an isosceles triangle as shown in the accompanying diagram what are the values of x and y ?

Answers

Answer:

A. x = 96 and y = 42

Step-by-step explanation:

The required measure of the angle x and y is given as x =92° and y = 42°. Option A is correct.

Given that,
Tina wants to sew a piece of fabric into a scarf in the shape of an isosceles triangle as shown in the accompanying diagram what are the values of x and y is to be determined.

What is the isosceles triangle?

A triangle with two sides and two congruent angles that are equal each other is called an isosceles triangle.

Here,
For an isosceles triangle,
The measure of the angle opposite to the equal side is equal, So
y = 42°

Now,
The sum of the angles in the triangle° is equal to 180,
x + y + 42 = 180
x + 42 + 42 = 180
x = 96

Thus, the required measure of the angle x and y is given as x =92° and y = 42°. Option A is correct.

Learn more about the isosceles triangle here: https://brainly.com/question/2456591

#SPJ2


Solve for x: 2x + 12= 18 (5 points)

Answers

Answer:

X = 3

Step-by-step explanation:

2x = 12 = 18

x +6 = 9

x = 9-6

x = 3

Hope its right <3 Like if it helped

Pls answer correctly thnks
Solve the linear equation by elimination:
-5x+3y=10
2x+5y=-35
And explain

Thanks!

Answers

[tex]-5x+3y = 10~~~~ .....(i)\\\\2x+5y =-35~~~ ....(ii)\\\\\text{Multiply equation (ii) by}~ \dfrac 35~ \text{ and do (ii) -(i)}\\\\\\\dfrac 35(2x+5y) - (-5x+3y) = \dfrac 35}(-35) - 10\\\\\implies \dfrac{6x}5 +3y + 5x -3y = -21-10 = -31\\\\\implies \dfrac{6x + 25x}5 = -31\\\\\implies 31x = -31 \times 5\\\\\implies x = -5\\\\\text{Substitute }~x=-5~ \text{in equation (ii):}\\\\2(-5) +5y =-35\\\\\implies -10 +5y = -35\\\\\implies 5y = -35 +10 = -25\\\\\implies y = - \dfrac{25}5 = -5[/tex]

[tex]\text{Hence,}~ \textbf{(x,y) = (-5, -5)}[/tex]

Ok done. Thank to me:>

Hailey wacthed 30% of the 120 shows in her favrite seires. How many more epsiodes will she need to wacth to finnish the series? (ik this easy)​

Answers

Answer:

84

Step-by-step explanation:

Total episodes to watch = (100 - 30)% = 70%

Finding 70% of 120

70/100 × 120

7 × 12

84

12. Write a
multiplication number sentence that
matches the shading on the grid.
Remember,
each small square
is 1 hundredth.
I am giving away brainest

Answers

Answer:

the answer would be 5×1k=b

Graph the line with slope -2/3
passing through the point (-4,5).

Answers

Answer:

graph this equation

y = -2/3x 7/3

Step-by-step explanation:

y-5=-2/3(x--4)

y-5 = -2/3x - 8/3

y = -2/3x 7/3

You have a box with 4 green marbles, 7 blue marbles, and 2 red marbles. What is the probability of picking a green marble?

Answers

Answer:

Step-by-step explanation:

If the picking is random, there are 4 chances out of a possible 13 options.

4/13

4/13
add up the total of marbles and that would be the denominator (13) and the green marbles would be the numerator (4)

in hillary's garden, she has 5 variety of snake plants and 15 variety of orchids. what is the ratio of snake plants to orchids?

Answers

Answer:

1:3

Step-by-step explanation:

She has 1 snake plant for every 3 orchids.

20. Write an expression: Alexis has $10 less than twice the amount that David has. If David has
x dollars, write an expression to represent the amount that Alexis has.

Answers

Answer:

2x - 10

Step-by-step explanation:

'x' = amount David has

Alexis = 2x - 10

what is the equation of the line that has a slope of three and goes through the point (-3,-5)?
A. y= 3x+4
B. y= 3x-14
C. y= 3x-4
D. y= 3x+12​

Answers

Answer:

y=3x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=3(x-(-3))

y+5=3(x+3)

y=3x+9-5

y=3x+4

please get this done asap

Answers

Answer:

1)2 2)2y=4  y=2 x=1

Step-by-step explanation:

John and Jennifer want to split a bag of candy, and decide to use the divider-chooser method. The bag contains 100 Snickers, 100 Milky Ways, and 100 Reese's, which John values at $1, $4, and $5 respectively.

If John is the divider, find a possible division that is consistent with his value system.

Answers

If John is the divider then $5 is the consistent value with his share system.

What is a divider chooser?

The essential concept is that an object is divided into pieces by a divider. The remaining participants, referred to as choosers, make bids on the pieces they believe represent fair portions. Each chooser receives the portion that, in their opinion, represents a fair share, with the remaining portion going to the divider.

Given that the bag contains 100 Snickers, 100 Milky ways and 100 Reese's which john values at $1 , $4 and $5 respectively.

That means 1 Snicker, 1 Milky way and 1 Reese's for $0.01 , $0.04 and $0.05 respectively.

Suppose, John splits a bag of candy

a) first half : 50 Snickers, 50 Milky ways and 50 Reese's

b) second half :  50 Snickers, 50 Milky ways and 50 Reese's

The value of both of the half in John's terms ;

50 (0.01) + 50 (0.04) + 50 (0.05) = 0.5 + 2 + 2.5 = 5

Therefore, if John is the divider then $5 is the consistent value with his share system.

To learn more about the divider chooser;

https://brainly.com/question/16963612

#SPJ1                                                      

Rewrite the expression with rational exponents.

Answers

Answer:

([tex]\sqrt[5]{x}[/tex])^7

Step-by-step explanation:

to cancel out the radical you do the exponent inside and divide it by the out side one so it will be 7/5 so make it x to the expontent of 7/5 and to do rational exponets it will be (^5radicalx)^7

The line passes through point Q, located at (-1, 2), and point R, located at (1, -2). Which two points determine a line parallel to line Q R ?

Answers

Answer:

i need a picture to see sorry

what's a real number?

Answers

Answer:

Real Numbers are numerical values that can represent distance on a line. An example of it being one is 15 and an example of it NOT being one is ∞.

Need help!! timed, and will give brainlist

Answers

Answer: 90

Step-by-step explanation:

help me my shawtys
6 − x = −12

Answers

Answer:

D.18

Step-by-step explanation:

6-x=-12

-x=-12-6

-x=-18   divide both sides by -1

x=18

Which 2 colours are the ones for this?

Answers

Answer:

Step-by-step explanation:

red and green

you know this because the red line has an X intercept at 1.5,0 which can be seen on the graph, as well as a Y intercept of 0,-3 which means that 2x-3 is represented by the red line

the green line passes through 0.8, 0 for its x intercept and 4,0 for its y intercept which is also seen on the graph by the green line.

to prove this, set each equation equal to zero and solve-

so 2x-3=0

2x=3

x=1.5

4-5x=0

-5x=-4

x=0.8

also the whole number in each equation (-3 and the 4) are y intercepts since when x is zero they are themselves

2.4(3q+6.1)

HELP MEE!!!

Answers

Answer:

7.2q + 14.64

Step-by-step explanation:

Distribute 2.4 to what is inside of the parentheses and you will find this answer.

I hope this helps!!

Answer:

7.2q + 14.64

Step-by-step explanation:

on what interval (s) are f(x) = x3 2x²+x+6 decreasing?

Answers

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

If you are talking about 2x^2 + x + 6 then the intervals would be decreasing based on where it is based on the vertex,
-b/2a = -1/2, plug -1/2 in 1/2 -1/2 + 6 = 6, vertex = (-1/2, 6) so the equation is decreasing (infinity) > x > -1/2
Other Questions
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