decompose x^2+4x-3/x-2​

Answers

Answer 1

Answer:

[tex]\dfrac{x^3-2x^2+4x-3}{x-2}[/tex]

Step-by-step explanation:

The given equation is :

[tex]x^2+\dfrac{4x-3}{x-2}[/tex]

We need to decompose this equation.

We have,

[tex]x^2+\dfrac{4x-3}{x-2}\\\\=\dfrac{x^2(x-2)+4x-3}{x-2}\\\\=\dfrac{x^3-2x^2+4x-3}{x-2}[/tex]

So, [tex]\dfrac{x^3-2x^2+4x-3}{x-2}[/tex] is the decomposed form of the given expression.


Related Questions

does anyone know what 5x - 12 < -32 is?

Answers

Answer:

5x-12<-32

5x<-32+12

5x<-20

5x/5<-20/5

x<-4

Step-by-step explanation:

1. Move constant to the right hand side of the inequality (-12)

2.Calculate the sum (-32+12)

3. Divide both sides by 5 to isolate X

4. Write your answer x<-4

Solved

:)

Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x
<

4
x
<
-
4
Interval Notation:
(


,

4
)

x²-11x+28 please answer​

Answers

Factor it out
A + B = -11
AB = 28, A = -4, B = -7

Solution: (x-4)(x-7)

I don't know how to do this. Can someone help me.

Answers

Break up the x-2 and use distributive property to multiply.

X(x3 +7x2 +2x -40) -2 (x3 +7x2 +2x -40)


Help me asp please

Answers

Answer:

1) power is 8

3) power is 11

Answer:

31^8

1^11

count how many numbers there are then put ^ and the number then the number of the number at the end sorry for my bad explenation

Step-by-step explanation:

Two busses go from Sacramento for San Diego. The express bus makes the trip in 6.8 hours and the local bus takes 8.5 hours for the trip. The speed of the express bus is 15 mph faster than the speed of the local bus. Find the speed, in miles per hour, of both busses.

Answers

Use formula speed is equal to distance over time

Can you answer number 7 and number 8 and explain the process please and thank you

Answers

7 is A and 8 is B

7. 20 to < 30 is straight in the middle of the chart

8. the average is all the numbers added up then divided by the amount of numbers there were. In this case it added up to 125 then I divided it by 5, which is the amount of numbers, getting 25.

If the standard deviation of shear strength measurements for spot welds is 9.5 pounds per square inch (psi), what is the minimum number of test welds that should be sampled if we want the sample mean to be within 1.4 psi of the true mean with probability approximately 0.99

Answers

Answer: 306

Step-by-step explanation:

Formula to find sample size:

[tex]n=(\dfrac{\sigma\times z^*}{E})^2[/tex] , where [tex]\sigma[/tex] = standard deviation, E = margin of error, z* = critrical z-value.

As per given,

[tex]\sigma=9.5 , E=1.4[/tex]

Critical z-value for 99% confidence = 2.576

Now , the minimum sampl size :[tex]n=(\dfrac{9.5\times2.576}{1.4})^2[/tex]

[tex]\Rightarrow\ n=305.5504\approx306[/tex]

Hence, the required sample size = 306

El 28% de x es 98 como calculo lo que falta?

Answers

Answer:

350

Step-by-step explanation:

28% de x es 98

[tex] \frac{28}{100} x = 98 \\ \\ x = 98 \times \frac{100}{28} \\ \\ x = \frac{9800}{28} \\ \\ x = 350[/tex]

person is scheduled to get arise of dollar 50 every 6 month in her 6 year on the job if starting salary os 1600 per month what is her annual salary at the end of 3rd year​

Answers

Answer:

1900 dollars

Step-by-step explanation:

A plane flying at an altitude of 4 miles is approaching an airport that is 31 miles ahead on

the pilot's line of sight. What is the angle of depression from the plane to the airport to the

nearest TENTH of a degree?

Answers

Answer:

[tex]7.4^{o}[/tex]

Step-by-step explanation:

Altitude of the plane = 4 miles

Distance from the plane to the airport = 31 miles

Let the angle of depression from the plane to the airport be represented by θ. Thus applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

          = [tex]\frac{4}{31}[/tex]

          = 0.1290

θ = [tex]Tan^{-1}[/tex] 0.1290

  = 7.3506

θ = [tex]7.4^{o}[/tex]

The angle of depression from the plane to the airport is [tex]7.4^{o}[/tex].

Divide (x3 - 1) by (x - 1)

Answers

X^2 + x + 1 buddyyyyyy

what are the ordered pairs for 2x+y=-12

Answers

Answer:

Simplifying
2x + y = -12

Solving
2x + y = -12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1y' to each side of the equation.
2x + y + -1y = -12 + -1y

Combine like terms: y + -1y = 0
2x + 0 = -12 + -1y
2x = -12 + -1y

Divide each side by '2'.
x = -6 + -0.5y

Simplifying
x = -6 + -0.5y

God bless you and have a beautiful rest of your day!

PLEASE HELP!! i'm writing a test and i have no idea how to do this. (I'm giving 30 points)

Answers

Answer:

12/y

Step-by-step explanation:

if you see in the picture the first three numbers 3,6 and 9 you add 3 in each number like 3+3=6 then 6=3 = 9 and 9 + 3 = 12 and so on. ( 45 also comes in this pattern )

have a wonderful day

A 10 metre ladder is leaning against the side of a building. If the bottom of the ladder is 3 metres
from the bottom of the building, find the angle of elevation the ladder makes with the building.

Answers

Answer:

10.4

Step-by-step explanation:

Trust me Sorry if wrong

Adrian invested $7,200 in an account paying an interest rate of 3.1% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $12,110?

Answers

Answer:

17

Step-by-step explanation:

Adrian invested $7,200 in an account paying an interest rate of 3.1% compounded monthly. It takes 17 year for the value of the account to reach $12,110.

What is Compound interest?

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =P(1+r/n)^rt

Adrian invested $7,200 in an account paying an interest rate of 3.1% compounded monthly. for the value of the account to reach $12,110 we need to find the time it takes.

The principal amount = $7,200

Rate = 3.1%

Compound Interest = [tex]P(1+r/n)^{rt}[/tex]

                      12,110  =  [tex]7200(1+3.1/12)^{3.1t}[/tex]

                            t = 17

Thus, for the value of the account to reach $12,110 the time taken is 17.

Learn more about Compound Interest;

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Solve the system of equations.

Answers

Answer:

x =-5 and y = -6

Step-by-step explanation:

In order to get the answer, I used the elimination/addition method

8y-9x= -3 <— I decided to eliminate the y

5y-8x= 10 <— I decided to eliminate the y

5(8y-9x = -3) <— switch up the number of y from the bottom to multiply

-8(5y-8x= 10) <— switch up the number of y from the top to multiply, but have a negative sign to it

So...our new equation will be....

40y - 45x = -15

+ -40y + 64x = -80

________________________

19x = -95

x = -5

8y-9x= -3

8y-9(-5) = -3

8y+45 = -3

- 45 = - 45

8y = -48

y = -6

9- 2 3/4 please hurry

Answers

Answer:

6 1/4

Step-by-step explanation:

HAHAHAHAHAHAHAHAHAHA​

Answers

Answer:

add my robl  ox cupcakeboss40

Step-by-step explanation:

An oak tree is planted when it is 650 centimeters tall. What is this height in meters?
The height of the oak tree is
meters.

Answers

Answer:

It is 6.5 meters

The centimeter practical unit of length for many everyday measurements. A centimeter is equal to 0.01(or 1E-2) meter.

Find the sum of the first 6 terms of the infinite series: 1 – 2 + 4 – 8 + . . .

Answers

Answer:

The sum of the first 6 terms of the inifinite series is -21.

Step-by-step explanation:

Following the sequence, we can see that each term is the previous term multiplied by -2. So, the first six terms are:

1, -2, 4, -8, 16, -32

The sum is:

1 - 2 + 4 - 8 + 16 - 32 = -1 - 4 - 16 = -21

The sum of the first 6 terms of the inifinite series is -21.

Answer:

-21

Step-by-step explanation:

Find the sum of the first 6 terms of the infinite series: 1 – 2 + 4 – 8 +

got it right on the test

Given f(x)=-5x+2, find f(6)

Answers

It would be -5(6)+2=-28

Determine whether each statement about the solid is TRUE or FALSE.
1)?
2)?
3)?
4)?

Answers

Answer:

1.False(It is a cube)

2.True(Cubes have 6 faces)

3.False(Its base is a square)

4.False(It has 12 edges)

Step-by-step explanation:

I need help ASAP, marking brainliest. Please show work.

Answers

Answer:

WY = 28

Step-by-step explanation:

Using the pythagorean theorem, we can find out the measures of lenghts WX and YX individually.

VX^2 = VW^2 + WX^2

ZX^2 = ZX^2 + XY^2

Substitute

400 = 256 + WX^2

400 = 144 + XY^2

Simplify

WX^2 = 144

XY^2 = 256

WX = 12

XY = 16

WY = 28

Estimate the average rate of change from x = 3 to x = 7.

Answers

Answer:

Average rate of change = 1.333 or 133.33%

Step-by-step explanation:

Given:

Base x = 3

New x = 7

Find:

Average rate of change

Computation:

Average rate of change = [new - base]/base

Average rate of change = [7 - 3] / 3

Average rate of change = 1.333 or 133.33%

WHATS THE SLOPE INTERCEPT OF THE EQUATION OF THE LINE THAT PASSES THREW (1,6) AND HAS A SLOPE OF 5

Answers

Answer:

why man

Step-by-step explanation:

Answer:

y=5x+1

Explanation:

I suggest using webmath, its very helpful!

The table describes some of the solutions of the inequality 3> 21.which graph best describes the solution of 3m > 21

Answers

This is the correct answer

This inequality will be represented by an arrow starting from 7 and directed towards the right. Option 3 will be the correct answer.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Given inequality is,

3m [tex]\geq[/tex] 21

To find the solutions to the given inequality solve this inequality first.

3m/3  [tex]\geq[/tex] 21/3

m  [tex]\geq[/tex] 7

This inequality will be represented by an arrow starting from 7 and directed towards the right.

Since, inequality is having a sign notation of greater than equal to, the arrow will start with a dark circle located at 7.

Therefore, Option 3 will be the correct answer.

Learn more about inequality ;

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Example 5:
Alexa purchased a laptop for $ 1,283 and a printer for $689. How much did she pay for the Laptop and printer
before tax?

Answers

$1283+$689 = $1972
I hope it’s right

1.5 ( x + 3 ) + 3.8 ( 7 x − 2 ) ?

Answers

Answer: 28.1x−3.1

Step-by-step explanation: 1.5(x+3)+3.8(7x−2)

=(1.5)(x)+(1.5)(3)+(3.8)(7x)+(3.8)(−2)

=1.5x+4.5+26.6x+−7.6

=(1.5x+26.6x)+(4.5+−7.6)

=28.1x+−3.1

=28.1x−3.1

Find the difference.
(3ab+9a-2) - (-5ab+4)

Answers

Answer:

3ab+9a-2+5ab-4

8ab+9a-6

HELP ASAP!! MARKING BRAINLIEST!!! WORTH 10 POINTS FIRST PERSON TO ANSER CORRECTLY GETS BRAINLIEST!!!!

Which fraction represents the solution to -6/5 divided by (-3/25) in simplest form?
A.) -10
B.) -12/125
C.) 10
D.) 18/125

Answers

Answer:

C

Step-by-step explanation:

-6/5 ÷ -3/25

~Copy Dot Flip

-6/5 * -25/3

~Multiply

150/15

~Simplify

10

Best of Luck!

Answer: Your is answer is C.

Step-by-step explanation:

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