What is the result when 12x3 + 20x2 + 11x + 2 is divided by 3x + 2?

Answers

Answer 1

Answer: 3x + 2) 12x� + 20x� + 11x + 2

Divide the first term 12x� by 3x: %2812x%5E3%29%2F%283x%29=4x%5E2

and write 4x� above the 20x�:

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

Multiply the 4x� by the (3x + 2) getting 4x%5E2%283x%2B2%29=12x%5E3%2B8x%5E2 and

write it under the first two terms and draw a line underneath:

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�  

Subtract %2812x%5E3%2B20x%5E2%29-%2812x%5E3%2B8x%5E2%29=12x%5E3%2B20x%5E2-12x%5E3-8x%5E2=12x%5E2,

and write 12x� under the line under 8x�, like this:

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x�

Now bring down the next term + llx and write in next to the 12x�

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

Divide the first term on the bottom 12x� by 3x: %2812x%5E2%29%2F%283x%29=4x

and write + 4x above the 11x at the top, like this:

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

Multiply the 4x by the (3x + 2) getting 4x%283x%2B2%29=12x%5E2%2B8x and

write it under the first two terms and draw a line underneath:

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

Subtract %2812x%5E2%2B11x%29-%2812x%5E2%2B8x%29=12x%5E2%2B11x-12x%5E2-8x=3x,

and write 3x under the line under 8x, like this:

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x

Now bring down the last term + 2 and write in next to the 3x

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

Divide the first term on the bottom 3x by the 3x at the left:

%283x%29%2F%283x%29=1 and write + 1 above the + 2 at the top,

like this:

               4x� +  4x + 1

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

Multiply the + 1 by the (3x + 2) getting 1%283x%2B2%29=3x%2B2 and

write it under the two terms at the bottom and draw a line

underneath:

               4x� +  4x + 1

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

                      3x + 2

Subtract %283x%2B2%29-%283x%2B2%29=3x-3x=0,

and write 0 under the line under 2, like this:

               4x� +  4x + 1

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

                      3x + 2

                           0

Now you are done and the answer is 4x%5E2%2B4x%2B1 and

since the remainder is 0 you do not have to put it over

the divisor 3x+%2B+2 and add it on like you do when

the remainder is not 0.

Step-by-step explanation:


Related Questions

help please i’m stuck lol

Answers

Answer:

The answer for this is x=-5

Answer:

x=-5

Step-by-step explanation:

-4x+1=21

move the 1 to the right side and subract it so it will turn into -4x=20

divide -4 to get the x by itself and then you will get x=20/-4 this will now divide and be x=-5

How many boxes of tissue can you buy with $21 if one box costs $7?

Answers

Answer: 3 boxes

Step-by-step explanation: Divide 21 and 7.

Help needed. 30 points to complete the table and do the second part.

Answers

Answer:

-4,-6,-8,-10

Step-by-step explanation:

I am not so sure though.

when would a transformation NOT be considered rigid?

Answers

Answer:

when the plant at the end dies

In the figure below, ∆ABC ~ ∆QRS.



If AB = 50, AC = 60, QS = 6, find QR.



Write a proportion and solve.

QR = ?

Answers

QS/AC=6/60=1/10

QR/AB=QR/50=1/10

QR=5

SO THAT TRIANGLE ABC IS EQUAL TO TRIANGLE QRS(2SIDES PROPORTIONAL.INC. ANGLE)

Answer:

QR = 5

Step-by-step explanation:

It's given that ∆ABC ~ ∆QRS. As both of them are similar , the ratio of corresponding sides of both triangles will be proportional to each other.

[tex] \frac{AB}{QR} = \frac{BC}{RS} = \frac{AC}{QS} [/tex]

AB = 50 ; AC = 60 ; QS = 6

From the above proportion ,

[tex] \frac{AB}{QR}= \frac{AC}{QS}[/tex]

Putting all the values ,

[tex] \frac{50}{QR} = \frac{60}{6} [/tex]

[tex] = > \frac{50}{QR} = 10[/tex]

[tex] = > QR = \frac{50}{10} = 5[/tex]

H E L P PLZZZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

138

Step-by-step explanation:

just plug in the numbers:

4*6^2 - 36/6

use pemdas

4*36 - 6 = 144-6 = 138

Answer: The answer is 138.

Step-by-step explanation: First, find 6 squared. That is 36. Multiply that by 4 to get 144. After that, find 36 divided by 6. That is 6. Finally, subtract 144 and 6.

This recipe makes 7 pancakes.
Sanjay follows the recipe but wants to make 21 pancakes.
How much of each ingredient does he need?

Recipe: Makes 7
135 g flour
1 teaspoon (tsp) baking powder
2 tablespoons (tbsps) sugar
130 ml milk
1 egg

Answers

Answer:

he needs 3 times all the 1 to make 21 pancakes

Step-by-step explanation:

How many x-intercepts would the function shown below have? F(x)=-5(x^2-7)(x+6)^2(x+1)(4x+1)

Answers

Answer:

5

Step-by-step explanation:

plug this ecuation into desmos graphing calculator(it's a website). Then see how many times the graph crosses the x-axis.

To find the zeroes:

0 of a function means for what value(s) of x will the f(x) or y equal zero(0). To find the zeroes of this function, just see what numbers will make f(x) = 0. Since this equation is already factored, our job is much easier. Focus on small parts of the equation and don't get ovewhelmed by how long it its. For you problem, start by -5(x^2-7). what x will make -5(x^2-7) = 0? As long as (x^2-7) = 0, the whole equation will equal zero since any number times 0 is 0. (x^2-7)=0, move -7 to the right, x^2=7, get squre root of both sides, you will have x=plus or minus[tex]\sqrt{7}[/tex]. This is one of the zeroes. There are many more in this equation since we have more than one x-intercepts. Now using thsi tactic, you can solve for the rest of the zeroes.

there is a calculator called symbolab, It's also a website and it can calculate whatever you need.

The number of x-intercepts is five would be the given function.

What is x-Intercept?

The x-intercept is defined as an intercept that is located at the x-axis of the plane, is the location or coordinate from where the line crosses,

The function is given in the question

F(x) = -5(x²-7)(x+6)²(x+1)(4x+1)

We have to determine the number of x-intercepts that would the function.

F(x) = -5(x²-7)(x+6)²(x+1)(4x+1)

The x-intercept occurs at a point where F(x) = 0

0 = -5(x²-7)(x+6)²(x+1)(4x+1)

-5(x²-7)(x+6)²(x+1)(4x+1) = 0

Here (x²-7) = 0, and (x+6)² = 0, (x+1) = 0, and (4x+1) = 0

x² = 7 , and (x+6) = 0, x = -1 , and 4x = -1

x = ±7 and x = -6 , x = -1 , and x = -1/4

x = 7, -7  and x = -6 ,  x = -1 , and x = -1/4

Therefore, the number of x-intercepts is five would be the given function.

Learn more about the x-intercept here:

https://brainly.com/question/14180189

#SPJ2

NEED HELP ASAP!

Tank A contains 35 gallons of water and is increasing at a rate of 5 gallons per minute. TankB
contains 100 gallons of water and is decreasing at a rate of 8 gallons per minute. In how
many minutes will the tanks contain the same amount of water? How much water will
that be?

Answers

9514 1404 393

Answer:

  5 minutes; 60 gallons

Step-by-step explanation:

The volume in tank A is initially 35 gallons. Its rate of change is 5 gallons per minute. The equation for volume can be written as ...

  y = 35 +5x . . . . . . where y is gallons, and x is minutes

The volume in tank B is initially 100 gallons. Its rate of change is -8 gallons per minute. The equation for volume can be written as ...

  y = 100 -8x

We want to find the values of x and y such that both are the same for both tanks.

  35 +5x = y = 100 -8x

  13x = 65 . . . . . . . . add 8x-65 to both sides of the equation

  x = 5

  y = 100 -8·5 = 60

Both tanks will hold 60 gallons after 5 minutes.

Megan drew a fraction that shows 6/8. What number can divide both the numerator and denominator to simplify this fraction?

Answers

Answer:

2

Step-by-step explanation:

The required number is 2. This divides 6 into 3 and 8 into 4. The simplified fraction is 3/4, which cannot be further simplified.


Karen performs a transformation on parallelogram ABCD that is plotted on a coordinate grid to form parallelogram A'B'C'D'. The image of
each point is shown in the table below.
Image
Original
Point
| A(-4,-1)
B (-7,-6)
C (-14, -6)
D(-11, -1)
(1.-4)
(6.-7)
(6.-14)
(1.-11)
Which best describes the transformation Karen performed?
A.reflection over the y-axis
B.dilation of scale factor
-1/4
C.counterclockwise rotation of 90 degrees about origin
D.translation of 5 units to the right and 3 units down

Answers

Answer:

its c

Step-by-step explanation:

took the test

Karen performed a transformation of (C) counterclockwise rotation of 90 degrees about origin

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is at A'(-y, x).

Parallelogram ABCD has vertices at A(-4,-1) , B (-7,-6) , C (-14, -6) , D(-11, -1), if it is rotated 90° counterclockwise about the origin, the new point would be at A'(1.-4) , B'(6.-7),  C'(6.-14) , D'(1.-11)

Find out more at: https://brainly.com/question/11707700

which is an equation for the line passing through the points (-3,3) and (6,9)​

Answers

Answer:

y=2/3x +5

hope this helps

Answer:

[tex] \red{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Explanation

[tex] slope \:of \:the\: required\:\: line \implies\\\frac{9-6}{6-(-3)}=\frac{6}{9} [/tex]

[tex] equation \:of \:the\: required\:\: line\implies\:\\y - 3 = \frac{6}{9} (x + 3)[/tex]

[tex] \implies \: 9y - 27 = 6x + 18[/tex]

[tex] \implies \: 6x - 9y + 45=0[/tex]

[tex] \implies\:2x-3y+15=0[/tex]

Hence the equation of the line is

[tex] \green{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

May someone help me out on this question?

Answers

Answer:

y = 2 for x < 0

     x for 0 ≤ x < 3

     3 for x ≥ 3

Step-by-step explanation:

From the graph attached,

Equation of line (1),

y = 2

Where x < 0

Let the equation of line (2) is,

y = mx + b

y-intercept 'b' = 0 [line (2) passes through origin]

Slope of the line 'm' = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                 = [tex]\frac{3}{3}[/tex]

                                 = 1

Therefore, equation of line (2) will be,

y = x

where 0 ≤ x < 3

Equation of line (3) will be,

y = 3

Where x ≥ 3

Therefore, piecewise linear function will be,

y = 2 for x < 0

     x for 0 ≤ x < 3

     3 for x ≥ 3

P= 2.50n - 300

How many candy bars must be sold to make a profit of $500?

Answers

5dgcfffvfccffffff did never nene even jelly meme me

Answer:

I need the answer

I dont know!!

Step-by-step explanation:

632 16/25 + 31 3/10 and turn it into a decimal :)

Answers

Answer:

  663.94

Step-by-step explanation:

If a = 3 sqrt(3) in the right triangle shown, what is the value of b?

Answers

Note: Consider the below figure attached with this question.

Given:

[tex]a=3\sqrt{3}[/tex]

To find:

The value of b.

Solution:

In a right angled triangle,

[tex]\tan \theta = \dfrac{Perpendicular}{Base}[/tex]

For the given right angled triangle,

[tex]\tan \theta = \dfrac{a}{b}[/tex]

[tex]\tan (30^\circ) = \dfrac{3\sqrt{3}}{b}[/tex]

[tex]\dfrac{1}{\sqrt{3}} = \dfrac{3\sqrt{3}}{b}[/tex]

On cross multiplication, we get

[tex]1\times b=3\sqrt{3}\times \sqrt{3}[/tex]

[tex]b=3(3)[/tex]

[tex]b=9[/tex]

Therefore, the value of b is 9.

Which of the following sets include all rational numbers?

Answers

It's the Second one and the third one

Step-by-step explanation:

Pie is irrational so you can easily cross it off and it leads to to the second one and the third one

This table gives the minutes players spent practicing basketball free throws and the number of baskets they made when they were timed the next day at practice.


Practice time (min) 45 100 57 8 90 63 25 84 30 120 19 18

Baskets made 15 21 18 5 22 18 19 23 16 20 7 10


What is the correlation coefficient of the data?



0.12


0.64


0.80


0.92

Answers

Answer:

0.79769, or 0.80 if you round it up

Step-by-step explanation:

Given the conditional statement: "If it is Wednesday, then Kayden doesn't
have baseball practice." What is the hypothesis of this statement? *

Answers

Answer:

if it's wednesday

Step-by-step explanation:

solve:6x+2=2(x+4)-2
happy holidays!

Answers

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

6x + 2 = 2(x + 4) - 2

Step 2: Solve for x

Distribute 2:                              6x + 2 = 2x + 8 - 2Combine like terms:                 6x + 2 = 2x + 6Subtract 2x on both sides:       4x + 2 = 6Subtract 2 on both sides;        4x = 4Divide 4 on both sides:            x = 1

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    6(1) + 2 = 2(1 + 4) - 2Multiply:                               6 + 2 = 2(1 + 4) - 2Add:                                     8 = 2(5) - 2Multiply:                               8 = 10 - 2Subtract:                              8 = 8

Here we see that 8 does indeed equal 8.

∴ x = 1 is the solution to the equation.


Solve for x:2/5 (x - 2) = 4x

Answers

Answer:

x= -2/9

Step-by-step explanation:

2(x-2)/5=4x

2(x-2)=4x*5

2(x-2)=20x

x-2=20x/2

x-2=10x

-2=10x-x

9x= -2

x= -2/9

A department store sells a pair of shoes with an 87% markup. If the store-bought
the pair of shoes for $55.25, what is the selling price to the nearest dollar?

Answers

Answer:

Step-by-step explanation:

55.25x.87=48.07

55.25+48.07=103.32

The area of a rectangle is 15 square inches. What wil be the area, in square inches, of the rectangle after it is dilated by a
scale factor of 2?

Answers

Answer:

60 inches²

Step-by-step explanation:

Unit test

Find the sale price of the item. Round to two decimal places if necessary.

Original price: $80.00
Markdown: 33%​

Answers

Answer:

24$

Step-by-step explanation:

Find the missing term: 1, 1.5, x, 2.5, 3,

Answers

Answer:

x=2

Step-by-step explanation:

Counting by 0.5 pattern

Can someone help me please

Answers

Answer:

17 inches

Step-by-step explanation:

Plsssss helppp meeeeee

Answers

Answer:

First choice, 1/3

Step-by-step explanation:

If you look at 1 to A to B to 2, you would see that there are 3 gaps between them. Therefore it's out of three, A to B is only one gap distance so it's 1/3

The answer is 1/3.

- emmatannerfns

need helpppp i have no idea what to do

Answers

Answer:

Line 1 and Line 2: Perpendicular

Line 1 and Line 3: Neither

Line 2 and Line 3: Neither

Step-by-step explanation:

We will write all lines in slope intercept form i.e [tex]y=mx+b[/tex]

where m is slope.

And check

a) If two lines are parallel they have same slope [tex]m_1=m_2[/tex]

b) If two lines are perpendicular they have opposite reciprocal slopes i.e [tex]m_1=-\frac{1}{m_2}[/tex]

Equation for Line 1: [tex]y=-\frac{4}{3}x-4[/tex]

Already in slope-intercept form

Slope for Line 1 m is: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex]

Equation for Line 2: [tex]6x-8y=-6[/tex]

Converting into slope-intercept form:

[tex]6x-8y=-6\\-8y=-6x-6\\y=\frac{-6x-6}{-8}\\y=\frac{-6x}{-8}+\frac{-6}{-8} \\y=\frac{3x}{4}+\frac{3}{4}[/tex]

Slope for Line 2 m is: [tex]\mathbf{m_2=\frac{3}{4}}[/tex]

Equation for Line 3: [tex]-4y=3x+7[/tex]

Converting into slope-intercept form:

[tex]-4y=3x+7\\y=-\frac{3}{4} -\frac{7}{4}[/tex]

Slope for Line 3 m is: [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Now, finding answers

Line 1 and Line 2

Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_2=\frac{3}{4}}[/tex]

Both lines are perpendicular because they have opposite reciprocal slopes

Line 1 and Line 3

Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Slopes are neither same, nor opposite reciprocal, so they are neither

Line 2 and Line 3

Checking their slopes: [tex]\mathbf{m_2=\frac{3}{4}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Slopes are neither same, nor opposite reciprocal, so they are neither

The answers are:

Line 1 and Line 2: Perpendicular

Line 1 and Line 3: Neither

Line 2 and Line 3: Neither

--- BONUS!---
During one night, possums ate two fifths of the fifty five fruits on a tree. If one eleventh of the
eaten fruit grew back, how many fruits are now on the tree?
Grade 8 Number Sense and Numeration
IL

Answers

Answer:

35

Step-by-step explanation:

2/5x55=22

55-22=33

22x1/11=2

33+2=35

35 left on tree

PLEASE HELP FAST ILL GIVE BRAINLIST MAKE SURE YOU READ IT BEFORE YOU ANSWER ITS QUESTION 18

Answers

Answer:

D. y=3x+15

Step-by-step explanation:

find the slope

[tex]\frac{1-(-5)}{-3-(-1)} =3[/tex]

y=mx+b

plug in known values

3=3(-4) + b

b=15

y=3x+15

the answer will be b, if u subract then add it
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