Divide x^3 - x - 6 by x - 2

Answers

Answer 1

Answer:

x^2 +2x + 3

Step-by-step explanation:

x^3 - x -6 / x-2

Step one - FACTOR x^3:

(x-2)(x^2+2x+3) / x-2

Step two - CANCEL the common factor of x-2

x^2+2x+3


Related Questions

Choose the best estimate for the weight of a strawberry A 1 ounce B 8 ounces

Answers

Answer:1 ounce

Step-by-step explanation:

What is the measure of arc ADC if the measure of arc BC is 52 degrees

Answers

Answer:

bc 52dndnxnnxxjxmsowkdkdodjdjdidj

The radius of a semicircle is 5 feet. What is the semicircle's diameter?

Answers

Answer:

The diameter of the semicircle is 10 feet.

Step-by-step explanation:

This is because d=r2 or diameter=radius*2

Answer:

Step-by-step explanation:

[tex]Diameter= 2* Radius\\D = 2* 5\\D= 10[/tex]

A saleperson receives a base salary of $37,000 in commission of 8% of the total sales of the year if the sales person sells $265,000 of merchandise what is his total salary for the year

Answers

Answer:

Sale-person's total salary for the year is  $ 82,050

Step-by-step explanation:

Base salary of salesperson = $37,000

commission percentage of salesperson = 17% of sales

sales made in a year = $265,000

commission for salesperson in $ = 17% of sales

commission for salesperson in $ = 17 / 100 *  $265,000 = $45,050

Thus, total commission for the given year salesperson is   $45,050

Total salary for year = Base salary + total commission for the given year

Total salary for year = $37,000  +  $45,050 = $ 82,050 (Answer)

What value of x is in the solution set of 3(x – 4) > 5x + 2?

Answers

Answer:

-10

Step-by-step explanation:

expand: 3x-12>5x+2

subtract 3x and subtract 2 to both sides

-14>2x

which is just

2x<-14

so x<-7.

the only value is -10. :D

Answer:

-10

Step-by-step explanation:

3(x – 4) > 5x + 2

Distribute

3x -12 > 5x+2

Subtract 3x from each side

3x-12-3x > 5x-3x+2

-12 > 2x+2

Subtract 2 from each side

-12 -2 > 2x+2-2

-14 > 2x

Divide by 2

-14/2 > 2x/2

-7 > x

X must be less than -7

-10 is less than -7

What single decimal multiplier would you use to increase by 4% followed by a 3% increase

Answers

Answer:

1.0712

Step-by-step explanation:

if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712

hope this will help you, have a nice day!

The equation a=1/2(b^1+b^2)h can be determined the area, a, of a trapezoid with height, h, and base lengths, b^1 and b^2 Which are equivalent equations?

Answers

The complete question is as follows.

The equation a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex] can be used to determine the area , a, of a trapezoid with height , h, and base lengths, [tex]b_1[/tex] and [tex]b_2[/tex]. Which are equivalent equations?

(a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]

(b) [tex]\frac{a}{2h} - b_2 = b_1[/tex]

(c) [tex]\frac{2a - b_2}{h}[/tex] = [tex]b_1[/tex]

(d) [tex]\frac{2a}{b_1 + b_2} = h[/tex]

(e) [tex]\frac{a}{2(b_1 + b_2)}[/tex] = h

Answer: (a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]; (d) [tex]\frac{2a}{b_1 + b_2} = h[/tex];

Step-by-step explanation: To determine [tex]b_1[/tex]:

a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]

2a = ([tex]b_1 + b_2[/tex])h

[tex]\frac{2a}{h} = b_1 + b_2[/tex]

[tex]\frac{2a}{h} - b_2 = b_1[/tex]

To determine h:

a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]

2a = [tex](b_1 + b_2)h[/tex]

[tex]\frac{2a}{(b_1 + b_2)}[/tex] = h

To determine [tex]b_2[/tex]

a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]

2a = [tex](b_1 + b_2)h[/tex]

[tex]\frac{2a}{h} = (b_1 + b_2)[/tex]

[tex]\frac{2a}{h} - b_1 = b_2[/tex]

Checking the alternatives, you have that [tex]\frac{2a}{h} - b_2 = b_1[/tex] and [tex]\frac{2a}{(b_1 + b_2)}[/tex] = h, so alternatives A and D are correct.

Kevin's bank offered him a 4.5% interest rate for his mortgage. If he purchases 3 points, what will be his new rate?

Answers

Answer:

The new rate would be  3.75%

Step-by-step explanation:

Purchasing a point simply implies negotiating for a lower rate of interest, which involves paying 1% of the loan in lieu of 1% interest reduction.

A point implies a reduction in interest rate by 0.25% while 3 points would reduce the interest rate by 0.75%(0.25%*3)

New interest rate=4.5%-0.75%=3.75%

Answer: mine was: 4.125%

Step-by-step explanation:

Please help there’s a picture
60°
60
Y=?

Answers

Answer:

Pretty sure it's 90 degrees

Step-by-step explanation:

Is 90
I hoped it helps

In a randomly generated list of numbers from 0 to 6 what is the chance that each number will occur

Answers

Answer:

In fractions, each number has a 1/6 chance of occuring. In decimals, that is around 16.6 repeating percent.

Answer:

1/7

The correct answer is 1/7

PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!

Answers

Answer:

B

Step-by-step explanation:

Recall that [tex](g \circ f)(x)=g(f(x))[/tex]. In other words, we need to find [tex]f(x)[/tex] first and then put that value into [tex]g(x)[/tex].

We need to find [tex](g \circ f)(4) =g(f(4))[/tex]

[tex]f(x)=4x-2\\[/tex]

[tex]f(4)=4(4)-2=14[/tex]

[tex](g \circ f)(4) =g(f(4))=g(14)[/tex]

[tex]g(x)=-6x^2-8x-8[/tex]

[tex]g(14)=-6(14)^2-8(14)-8[/tex]

[tex]g(14) = (g \circ f) (4) =-1296[/tex]

*Brainliest* What is the domain of the function shown in thr table?

Answers

Answer:

Domain is { 3,5,7,9}

Step-by-step explanation:

The domain is the input values

Domain is { 3,5,7,9}

Answer:

Domain - {3, 5, 7, 9} (B)

Step-by-step explanation:

Domain - imput values, X values

Which of the binomials below is a factor of this trinomial? x2 - x-12 A) x+6 B) x+4 C) x-4 D) x-6

Answers

x² - x - 12

Start by setting up your two sets of parenthses.

X² breaks down into x and x.

What we are looking for is factors of the constant term

that add to the coefficient of the middle term.

The question is, what is the coefficient of the middle term

in this problem if there is nothing written in front of the x.

Well if there is nothing written there,

the coefficient is understood to be 1.

So what we are looking for are factors of -12 that add to -1.

Factors of -12

+12 · -1

-12 · +1

+6 · -2

-6 · +2

+4 · -3

-4 · + 3

We can see that -4 and +3 add to -1.

So they go in the second position of each binomial.

This gives us (x - 4)(x + 3) as our answer.

I need this answered quickly. What is the value of d to the nearest hundredth?

Answers

Answer:

6.48

Step-by-step explanation:

you have to use the sin rule

Answer:

6.48

Step-by-step explanation:

At the beach, 11% of people have white towels and 53% have blue towels. If
the rest have red, what percentage of the people at the beach have red
towels?
Answer here
SUBMIT
ASAP help plz

Answers

Answer:

36 percent.

Step-by-step explanation:

We have been given that 11 percent of people of the peach have white towels, and 53 percent have blue towels.

With this information, we can find the remaining percentage of people that have red towels.

Recall that the total percentage is always 100 percent.

lets make r for the percentage of people that have red towels.

You can solve it by changing it to fraction, decimal, or just keep it at percent.

I will show you all of the possible ways.

Percent:

11 percent plus 53 percent plus r =100 percent

combine the like terms, or add 11 plus 53 to simplify the equation.

You have 64 percent plus r =100 percent Our goal is to isolate r, so subtract both sides by 64 percent.

100-64 is 36 percent.

r=36 percent of people who have red towels.

With fractions.

Write it as 11/100 plus 53/100 plus r/100= 100/100.

Combine the fractions.

64/100 plus r/100=100/100.

Subtract both sides by 64/100.

You are left with r=36/100, 9/25, or 36 percent.

With decimals.

11 percent as a decimal is 0.11. Just move the decimal spot 2 times. In 11, since you can write it as 11.0, you move it to the right twice.

53 percent is 0.53.

r is r.

100 percent is 1.

0.11 plus 0.53 plus r=100

Combine or add 0.53 and 0.11. That is 0.64.

Subtract both sides by 0.64.

You get r to be 0.36 or 36 percent.

I hope this helps, and I hope you have a good day!

Answer:

36%

[tex]percentage \: of \: people \: who\: have \: white \\ towels = 11 \\ percentage \: of \: people \: who \: have \: blue \: \\ towels = 53 \\ percentage \: of \: people \: who \: have \: \\ white \: and \: blue \: towel \\ = 11 + 53 \\ = 64 \\ percentage \: of \: people \: who \: have \ \: red \\ towels = 100 - 64 \\ \: \: \: \: \: \: \: \: \: \: \: = 36[/tex]

hope this helps ..

Good luck on your assignment

Lila wrote an equation of the cost for printing brochures, where x represents the number of brochures and y represents the total cost. The total cost for 35 brochures is $41.45. The total cost for 65 brochures is $55.55. Step 1: Write the ordered pairs (35, 41.45) and (65, 55.55). Step 2: Find the slope. M = StartFraction 55.55 minus 41.45 Over 65 minus 35 EndFraction = 0.47 Step 3: Find the y-intercept to write the equation in slope intercept form. Y minus 55.55 = 0.47 (x minus 35). Y minus 55.55 = 0.47 x minus 16.45. Y = 0.47 x + 39.1. Which explains the error that Lila made? Lila made in error in Step 1 by reversing the ordered pairs. Lila made an error in Step 2 by not using the slope formula. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair. Lila made an error in Step 3 when she did not use the distributive property correctly when multiplying.

Answers

Answer:

The answer is C. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.

Hope this helps!

Stay safe at home :)

(those of you doing edge hang in there!)

The y intercept of the problem is equal to 25+14.1/30*x.

What is total cost?

The total cost is the sum of the fixed cost and the variable cost to make a product.

How to find y-intercept?

x is showing no. of bruchers

y is showing total cost.

Total cost for 35  bruchers=41.45

Total cost for 65 bruchers=55.55

The points are (35,41.45), (65,55.55)

The y intercept can be calculated as :

y-41.45=(55.55-41.45/65-35)*(x-35)

30y-14.1x=750

y=25+14.1/30*30

Hence the value of y intercept is 25+14.1/30*30.

Learn more about intercept at https://brainly.com/question/26233

#SPJ2

Can someone please help me I’m stuck

Answers

Answer:

6

Step-by-step explanation:

Since the two triangles are similar, their ratios of sides must be constant. Therefore:

[tex]\dfrac{9}{3}=\dfrac{x}{2} \\\\x=2\cdot 3=6[/tex]

Hope this helps!

the area of a square field is 50625 meter square find its perimeter

Answers

Answer:

900

Step-by-step explanation:

A=S^2

50265=SxS

S=√50265

S=225

P=Sx4

P=225x4

P=900

What is the following product? square root of 10 times square root of 10

Answers

Answer: 10

Step-by-step explanation:

√10 x √10

When a square root of an expression is multiplied by itself, the result is that expression...

10

Una compañía fabricó tres tipos de muebles: sillas, mecedoras y
sofás. Para la fabricación una silla, se necesitan 1 unidad de madera, 1
de plástico y 2 de aluminio; una mecedora lleva 1 unidad de madera, 1
de plástico y 3 de aluminio, mientras que para un sofá se precisa
utilizar 1 unidad de madera 2 unidades de plástico y 5 unidades de
aluminio. La compañía disponía de 400 unidades de madera, 600 de
plástico y 1500 de aluminio. Sabiendo que utilizó todas sus existencias
de materiales, ¿cuántos muebles de cada tipo fabricó (sillas, mecedoras,
sofás)? sistema de ecuación 3*3 método cramer

Answers

Answer:

neuf mille

je ne suis pas sûr

Step-by-step explanation:

Find the height of a triangle that had area of 30sqaure deer units and a base measuring 12units

Answers

Answer:

h = 5 units

Step-by-step explanation:

Step 1: Plug in known variables into formula

A = 1/2bh

30 = 1/2(12)h

Step 2: Multiply both sides by 2 (To get rid of fraction)

60 = 12h

Step 3: Divide both sides by 12

h = 5

Answer: 5 units

Step-by-step explanation:

30 devided by 12 then multiply that by 2

What is the correct expanded form and value of 4 cubed?
4 + 4 + 4 = 12
4 times 4 times 4 = 64
3 + 3 + 3 + 3 = 12
3 times 3 times 3 times 3 = 81

Answers

Answer:

Option 2

Step-by-step explanation:

=> [tex]4^3[/tex]

=> 4 × 4 × 4

=> 64

Answer:

4 times 4 times 4 = 64

Step-by-step explanation:

When a number is cubed, it is multiplied by itself 3 times.

For example, [tex]x^3=x*x*x[/tex].

In our case, it is [tex]4^3=4*4*4[/tex] which would equal [tex]16*4=64[/tex]

Your answer is "4 times 4 times 4 = 64"

La base de un rectángulo es cuatro veces su altura. Hallar el área del rectángulo si su perímetro es 120cm a) 476 b) 376 c) 476 d) 576

Answers

Answer: d) 576

Step-by-step explanation:

Datos:  

Altura: h  Base (b): 4h (cuatro veces su altura [h])  

El perímetro de un rectángulo es igual a la suma de todos sus lados:  

Perímetro = 2h+2b  

Reemplazando b=4h

120 =2h+ 2(4h)  

Despejando h:

120 = 2h+8h  

120 =10h  

120/10=h  

12 cm=h  

Base = 4h =4(12) =48 cm  

Área de un rectángulo (A)= base x altura  

A = 48 x 12 = 576 cm2  

Which of the following lines of Shelly's "On the Medusa of Leonardo Da Vinci in the
Florentine Gallery" appeal to the sense of hearing and sight at the same time?

1. Whereon the lineaments of that dead face

2. Are graven, till the characters be grown

3. Into itself, and thought no more can trace;

4. 'Tis the melodious hue of beauty thrown

A:Tis the melodious hue of beauty thrown

B:into itself,and thought no more can trace

C: Are graven,till the characters be grown

D: Whereon the linements of that dead face

explain answer ​this question is English

Answers

Answer:

A: Tis the melodious hue of beauty thrown  .

Explanation:

An appeal to the sense of hearing and sight will be something that presents an act that gives the readers a sense of the sounds in the writing. While an appeal to the sense of sight will present an image or a form of the picture to the readers. These types of sense appeals are used by writers to engage their readers' interest and keep them hooked.

In Percy Bysshe Shelly's poem "On the Medusa of Leonardo Da Vinci in the Florentine Gallery", the poet talks about the goddess Medusa but most importantly talks about the painting of "Medusa" by Da Vinci. The poem structured in the iambic pentameter scheme presents an image of Medusa and also how she was depicted by Da Vinci in his work. Out of the given options from the second stanza of the poem, the line that appeals to the sense of hearing and sight is "Tis the melodious (hearing/ sound) hue of beauty thrown (sight)".

Thus, the correct answer is option A.

1. Martha pays 20 dollars for materials to make earrings. She makes 10 earrings and sells 7 for
5 dollars and 3 for 2 dollars. Write a numerical expression to represent this situation and then
find Martha's profit?

Answers

Answer:

Numerical expression to represent this situation : 41 = 20 + P

Martha's profit is $21

Step-by-step explanation:

Total cost price for earrings for Martha = total money invested in material  to make earrings = $20

No. of ear rings made = 10

No. of earrings sold for $5= 7

Total Price for these 7 earrings= $5*7 = $35

No. of earrings sold for $2= 3

Total Price for these 3 earrings= $2*3 = $6

Total price for all of the ten earrings = $35+$6 = $41

We know that

selling price = cost price + profit

Total price for all of the ten earrings = Total cost price for 10 earrings + total profit made on those 10 earrings

let total profit be P

41 = 20 + P

Thus,

P = 41-20 = 21

numerical expression to represent this situation : 41 = 20 + P

Thus, Martha's profit is $21

Given the coordinates for the function below which of the following are coordinates for its inverse

Answers

2-3+23=-34 so that is the right one

Any answers plzzzzzz​

Answers

Answer:

A = 3[tex]r^{2}[/tex]

Step-by-step explanation:

r = [tex]\sqrt{\frac{A}{3} }[/tex]

r = [tex](\frac{A}{3})^{1/2}[/tex]

square both sides:

[tex]r^{2}[/tex] = [tex]\frac{A}{3}[/tex]

multiply 3 to both sides:

3[tex]r^{2}[/tex]  = A

Answer:

[tex] a= 3r {}^{2} [/tex]

[tex] \sqrt{ \frac{a}{3} } = r \\ \frac{1}{3a} = r {}^{2} \\ \frac{1}{3a} \frac{1}{3} = r {}^{2} \frac{1}{3} \\ a = 3r {}^{2} [/tex]

Your given side ab with a length of 6 centimeters and side bc with a length of 5 centimeters. The measure of amgel A is 30. How many triangles can you construct using these measurements?

Answers

Answer:

  2

Step-by-step explanation:

The given angle is opposite the shortest of the given sides, and sin(A) < 5/6, so there are two possible solutions.

The law of sines tells you that angle C will satisfy ...

  sin(C)/ab = sin(A)/bc

  sin(C) = ab/bc·sin(A) = 6/5·1/2 = 3/5

The given angle is 30°, so the sum of remaining angles must be less than 150°. There are two possible angles less than 150° that have a sine of 3/5:

  C₁ = arcsin(3/5) = 36.87°

  C₂ = 180° -arcsin(3/5) = 143.13°

You can construct two triangles with the given measurements.

__

See the attachments for drawings of them.

Ravi lost 80 dollars from his pocket.
Write a signed number to represent this change.​

Answers

Answer:

x - 80

Step-by-step explanation:

Ravi had x dollars in all.

x - 80

2O POINTS + BRAINLIEST || Which of these scale factors will result in an Enlargement?
A. 0
B. 1/2
C. 1
D.5

Answers

Answer:

D 5

Step-by-step explanation:

Answer:

B. 1/2?

Step-by-step explanation:

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