plss helppp!!

pls show how is it done

solve the equation :

x³ = 3x² + 3x - 1

Answers

Answer 1

Answer:

x³ = 3x² + 3x - 1x³-  3x² -  3x + 1 = 0(x³ + 1) - 3x(x + 1) = 0(x + 1)(x² - x + 1 - 3x) = 0(x + 1)(x² - 4x + 1) = 0(x + 1)(x² -4x + 4 - 3) = 0(x + 1)((x - 2)² - (√3)²) = 0(x + 1)(x - 2 + √3)(x - 2 - √3) = 0x = -1x = 2 - √3x = 2 + √3

Related Questions

PLEASE ELP ME ITS URGENT!!! 25 POINTS!!!!!
Write 2.4 × 1012 in standard notation.

Answers

Answer:

2,400,000,000,000

Step-by-step explanation:

2.4 x 10^12 means that the decimal point is moved 12 places to the right (hence the power of 12)

So by moving the decimal point 12 times you get this: 2,400,000,000,000

The reason why there are only 11 zeroes is because the 4 was a decimal place  to the right of 2, thus losing a zero.

Calculate using order of operations. 7.8+6.2×(4-1.5)×4​ full formula​

Answers

Answer:

[tex]69.8[/tex]

Step-by-step explanation:

order of operations can be abbreviated as GEMDAS 1. Groups 2. Exponents 3. Multiplication and Division 4. Addition and Subtraction

So start by writing out the equation

[tex]7.8+6.2*(4-1.5)*4[/tex]

Slove anything grouped with parenthesis or other grouping symbols

[tex]7.8+6.2*(2.5)*4[/tex]

There are no exponents so skip to Multiplying and Dividing

[tex]7.8+15.5*4[/tex]

[tex]7.8+62[/tex]

Then Addition and Subtraction

[tex]69.8[/tex]

(also I already know that most people write it as PEMDAS as in parenthesis instead of groupings but I personally prefer to abbreviate it as GEMDAS and that is an opinion for a reason)

Plz help THank you Image is proved Below

Answers

Answer:

22 is the correct answer of your question hope it helps you

The volume of this cube is 64 cubic feet. What is the value of a?

Answers

Answer:

a = 4 feet

Step-by-step explanation:

Since it's a cube, we know that each value will be equal. Because of this, you can cube root the cube's volume to find a.

[tex]\sqrt[3]{64}=4[/tex]

Therefore, a = 4 feet.

Answer:

4

Step-by-step explanation:

To find the area of a cube, we have to multiply the width, height, and length, which, since they are all the same value, would be a side multiplied by itself 3 times(cubed). So, the area of this cube in terms of a(side) is a*a*a or a^3. The area is given to be 64, so we can write:

a^3 = 64

With the equation, we can realize 4*4*4 is 64, meaning a is 4.

Sandra is 5 years old. When she asked her father about his age, he gave her this answer. "When you are my age, I will be 67." How old is her dad?​

Answers

Step-by-step explanation:

Her father is 34 years old

PLEASE HELP!!
Find an equation in general form for the straight line that passes through the point (-1.4) and is
perpendicular to the line 2x + 3y = 6

Answers

9514 1404 393

Answer:

  3x -2y +11 = 0

Step-by-step explanation:

The equation of the line perpendicular to ax+by=c through point (h, k) can be written as ...

  b(x -h) -a(y -k) = 0

Simplifying this will put it in general form.

__

You have a=2, b=3, (h, k) = (-1, 4), so your equation is ...

  3(x +1) -2(y -4) = 0 . . . . fill in the values

  3x -2y +11 = 0 . . . . . . . simplify

the perimeter of a rectangle is 68 feet the length is 5 inches shorter than twice the width what are the dimensions of the rectangle

Answers

Answer:

Step-by-step explanation:

The perimeter formula is P = 2L + 2W. If the perimeter is given as 68 feet, then our P will be filled in with 68. If the length is "5 inches shorter than twice the width" is an expression that looks like this, keeping in mind that "shorter" means subtraction, "twice" means doubled, and the word "is" means equals:

L = "length is"

2W is "twice the width"

5 inches shorter is " - 5". Putting it all together:

L = 2W - 5. Now we can fill in the perimeter formula:

68 = 2W + 2(2W - 5) and

68 = 2W + 4W - 10 and

68 = 6W - 10 and

78 = 6W so

W = 13. The width is 13 inches and the length is

L = 2(13) - 5 so the length is

L = 21 inches.

Mr. A runs 500 meters in 1 minute, Mr. R runs 450 meters in 50 seconds, Mr. M runs 600 meters in 70 seconds and Mr. K runs 400 meters in 45 seconds. Based on these times, which runner would win a 100 meter race?

Answers

Step-by-step explanation:

1minute=60seconds

500 meters=60

100 meters=x

cross multiply

500×x=100×60

500x=6000

x=12

Mr. A will use 12seconds

450meters=70

100=a

cross multiply

450×a=100×70

450a=7000

divide both sides by 450

400=45

100=n

cross multiply

400×n=100×45

400n=4500

divide both sides by 400

divide and get your answer

given that tan x =3/7find cos (90-x) giving you answer in 4 significant figures​

Answers

Answer:

[tex]\cos \left(90 ^\circ - x\right) \approx 0.1688[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \tan x = \frac{3}{7}[/tex]

And we want to find the value of:

[tex]\displaystyle \cos \left(90^\circ - x\right)[/tex]

Recall that by definition, tan(θ) = sin(θ) / cos(θ). Hence:

[tex]\displaystyle \frac{\sin x }{\cos x} = \frac{3}{7}[/tex]

And by definition, sin(θ) = cos(90° - θ). Hence:

[tex]\displaystyle \frac{\cos \left(90^\circ - x\right)}{\cos x} = \frac{3}{7}[/tex]

Multiply:

[tex]\displaystyle \cos \left(90 ^\circ - x\right) = \frac{3}{7} \cos x[/tex]

Find cosine. Recall that tangent is the ratio of the opposite side to the adjacent side. Therefore, the opposite side is 3 and the adjacent side is 7.

Thus, by the Pythagorean Theorem, the hypotenuse will be:

[tex]\displaystyle h = \sqrt{3^2 + 7^2} = \sqrt{58}[/tex]

Cosine is the ratio of the adjacent side to the hypotenuse. Therefore:

[tex]\displaystyle \cos x = \frac{7}{\sqrt{58}}[/tex]

Thus:

[tex]\displaystyle \cos \left(90 ^\circ - x\right) = \frac{3}{7} \left(\frac{3}{\sqrt{58}}\right)[/tex]

Use a calculator. Hence:

[tex]\cos \left(90 ^\circ - x\right) \approx 0.1688[/tex]

Which SMART goal attribute in the table applies to each of Devon’s financial goals?

Answers

Answer:

- specific goals: describe what exactly you want to achieve by doing something and how you will do that.

- measurable: which means you need to be able to identify the goals you want to achieve. You might have to break down your goal into measurable parts.

Step-by-step explanation:

PLEASE ANSWER ASAP THANK YOU!!!

How much money will be in a bank account after 3 years if $9 is deposited at an interest rate of 5% compounded annually? Round to the nearest dollar.

Answers

Answer:

$10.42

Step-by-step explanation:

Compound interest formula: A=p(1+r/n)^nt

9=p, r=0.05, n=1, and t=3

A=9(1+0.05)^3

A=9(1.05)^3

Plug this into calculator and you get $10.42

Answer:

A  = $10.42

Step-by-step explanation:

The appropriate formula is the "compound amount" formula given by

A = P(1 + r)^t,

where P is the initial amount, r is the annual interest rate as a decimal fraction, and t is the number of years elapsed.

Here:  

A = $9(1 + 0.05)^3, or

A  = $9(1.05)^3, or

A  = $10.42

Do the ratios 9/4 and 18/8 form a proportion?

Answers

Yes

Step-by-step explanation:

I believe so. Hope this helps

ndicate whether each of the following relationships is usually a direct relationship or an inverse relationship. a. A sports team's winning percentage and attendance at its home games: (Click to select) . b. Higher temperatures and sweater sales: (Click to select) . c. A person's income and how often he or she shops at discount stores: (Click to select) . d. Higher gasoline prices and miles driven in automobiles: (Click to select) .

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

The following relationships usually have a direct or inverse relationship, please indicate.

Win percentage and attendance during home games of a sports franchise are directly related.There is an inverse relationship between higher temperatures with sweater sales.An inverse link exists between a family's salary and how often he or she spends in bargain shops.There was an inverse relationship between higher gas prices and more miles traveled.

Consider that 45% of Americans own a dog, 25% of Americans own a cat, and 40% of Americans own neither. Draw a Venn Diagram for this situation. Be sure to label every region of the Venn Diagram with a word AND the percentage of Americans that fall in each category.

Answers

Answer:

See below

Step-by-step explanation:

40% own neither, it means 100% - 40% = 60% own either a dog or a cat.

Since 45% own a dog, 60% - 45% = 15% own a cat but not a dog.

Since 25% own a cat and 15% own only a cat, 25% - 15% = 10% own a dog and a cat.

Now, 10% out of 45% own both pets, 45% - 10% = 35% own only a dog.

All the numbers reflected in the attached Venn diagram:

35% - dog10% - both15% - cat40% - neither

Round 4746.13662611 to the nearest whole number.

Answers

Answer:

4746

Step-by-step explanation:

4746 is the answer. since 1(the first number after the point) is less then 5 so we dont need to round the last number (before the point)

michelle is 3 times as old as her sister tina. Tina is 4 years younger than michelle. How old is tina now?

Answers

Answer:

Tina's age = 2 years

Step-by-step explanation:

Tina's age = x

Michelle's age = 3 * x = 3x

Tina is 4 years younger than Michelle.

x = 3x - 4

Add 4 to both side

x +4 = 3x

Subtract x from both sides

4 = 3x - x

4 = 2x

Divide both sides by 2

4/2 = x

2 = x

Tina's age = 2 years


[tex]( - 12) \times ( - 4) + ( - 8) + ( + 3)[/tex]
could you help..​

Answers

[tex] \sf \: ( - 12 )\times( - 4) + (- 8 )+ (+ 3) \\ \sf \: = (- 12 \times - 4 )+ (- 8 + 3) \\ \sf \: = 48 - 5 \\ = 43[/tex]

Hope it helps.

RainbowSalt2222

What vertex does the quadrilateral and the pentagon share?

O (-3, -5)
O (-3, 2)
O (3, -5)
O (3, 2)

Answers

Step-by-step explanation:

a vertex is a corner and the corner that both the quadrilateral and Pentagon share is a point at (-3, -5)

Help me please
Thank you

Answers

Answer: p = 1/5

Step-by-step explanation:

-5(p + 3/5) = -4

Now we open the brackets and -5 mutiplies with both terms

-5p - 3 = -4

-5p = -4+3

-5p = -1

p = -1/-5

p = 1/5

please click thanks and mark brainliest if you like :)

The ratio of girls to boys in grade 6 was 3:2 at Lincoln middle school last year. There were 60 kids in grade 6. How many in grade 6 were girls

Answers

Answer:

40 girls 20 boys i think / guess

Step-by-step explanation:

Answer:

20/40

Step-by-step explanation:

i hope it help

2) The distance between two villages is 0.625 km.
Find the length in centimetres between the two villages on a map with a scale of 1:5000.

Answers

Answer:

12.5 cm

Step-by-step explanation:

0.625km=62500cm. The scale factor is 1:5000. So the distance on the map will be 62500/5000=12.5 cm

factorize, x(x +2)3x+6​

Answers

x(x+2)+3x+6

x^2+2x+3x+6

x (x+2)+3(x+2)

(x+3) (x+2)

x^2+x-6 is correct.
Step-by-step explanation:
find two number if you multiply it becomes (-6) and if you sum them it becomes (+x)

The amount of money lana earns for tutoring is proportional to the time she spends tutoring. She earns $24 for tutoring 1 1/2 hours. what is the constant of proportionality for the relationship between dollars earned and number of hours?

Answers

Answer:

y=16x

Step-by-step explanation:

24=1 1/2x=3/2x

x=24*(2/3)=16

y= total money earned; x=number of hours worked

arrange0.2,¼,30%,10%in ascending and descending order​

Answers

Answer:

Ascending- 10%, 0.2, 1/4, 30%

Descending- 30%, 1/4, 0.2, 10%

Step-by-step explanation:

0.2 = 2/10 = 4/20

1/4 = 5/20

30% = 30/100 = 6/20

10% = 10/100 = 2/20

Ascending

-2/20, 4/20, 5/20, 6/20

- 10%, 0.2, 1/4, 30%

Descending

- 6/20, 5/20, 4/20, 2/20

- 30%, 1/4, 0.2, 10%


Can someone please help me solve this ?

Answers

answer:

-1

here's the explanation below :))

A teacher is selecting students to be team captains for a class game. Each student in the class has their name on a Popsicle stick. The teacher selects three Popsicle sticks and the names on these sticks are team captains. This is an example of a ______________.
A. random sample
B. convenience sample
C. self-selecting sample
D. systematic sample

Answers

The best answer would be A

Line AB is the diameter of circle T. Point A is located at (-4, 2) and point B is located at (2, -8). What are the coordinates of the center of this circle?

A. (-3, -5)
B. (-2, -4)
C. (-1, -3)
D. (-4, -2)

Answers

Answer:

(-4, 2) y(2, -8)

{-4 y(2, -8), 2 y(2, -8)}

-4 y(2, -8) + 2 y(2, -8) = -2 y(2, -8)

-y(2, -8)

2 sqrt(5) abs(y(2, -8))

Step-by-step explanation:

D

Answer:

C

Step-by-step explanation:

The center will be the midpoint of the line connecting A and B.

x=(-4+2)/2=-2/2=-1

y=(2-8)/2=-6/2=-3

Are the ratios 11:9 and 2:1 equivalent?
yes or no

Answers

Answer:

no

Step-by-step explanation:

We can determine if they are equivalent if the cross products are equal

11          2

----- = ------

9            1

11*1 = 2*9

11 = 18

This is false so the ratios are not equivalent

When a willow tree was planted it was 24 inches tall. Three years later, the tree was
54 inches tall. How many inches per year is the willow tree growing on average?

(A) 3 inches per year
(B) 5 inches per year
(C) 10 inches per year
(D) 18 inches per year

Answers

Answer:

Height of tree 3 years ago: 24 inches

Height of tree now: 54 inches

54-24 = 30

The tree grew 30 inches in 3 years.

So on average it grew 10 INCHES PER YEAR.

Let me know if this helps!

Answer:

(C) 10 inches per year

Step-by-step explanation:

54-24 = 30 inches in 3 years

30/3 = 10 inches per year

un automovil que viaja a 70 km/h a lo largo de un camino recto y plano se detiene uniformemente en una distancia de 80m. si el automovil pesa 8500 N. ¿que fuerza se necesita para detener al automovil?

Answers

Answer:

5.6 km/hr 8500 n

so 1 km/hr 1517.857 n

Step-by-step explanation:

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