Solve 2x=54xˆ(2/3)

Please, I need the step by step working to find the value of x

Answers

Answer 1

Answer:

x = 19683 or x = 0

Step-by-step explanation:

Solve for x:

2 x = 54 x^(2/3)

Hint: | Isolate the radical to the left hand side by reversing the equality.

2 x = 54 x^(2/3) is equivalent to 54 x^(2/3) = 2 x:

54 x^(2/3) = 2 x

Hint: | Eliminate the power on the left hand side.

Raise both sides to the power of three:

157464 x^2 = 8 x^3

Hint: | Move everything to the left hand side.

Subtract 8 x^3 from both sides:

157464 x^2 - 8 x^3 = 0

Hint: | Factor the left hand side.

Factor x^2 and constant terms from the left hand side:

-8 x^2 (x - 19683) = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by -8:

x^2 (x - 19683) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

x - 19683 = 0 or x^2 = 0

Hint: | Look at the first equation: Solve for x.

Add 19683 to both sides:

x = 19683 or x^2 = 0

Hint: | Look at the second equation: Eliminate the exponent.

Take the square root of both sides:

Answer: x = 19683 or x = 0


Related Questions

HURRY HAS TO BE DONE BY 10:50 Fill in the blank with the correct number.
The number ________
is divisible by 3, 4, 5, and 9.
OA) 24
OB) 45
OC) 90
OD) 180

Answers

Answer:

i think its 180

Step-by-step explanation:

The answer is D. 180

Do number 3 am giving brainliest look below

Answers

Answer:

18 cm^2

Step-by-step explanation:

Find the coordinate point for D that would make ABDC a rhombus.
Point A (2,2)
Point B (3,4)
Point C (4,1)
Point D (?)

A. (5,4)
B. (5,2)
C. (5,3)
D. (3,0)

Answers

Answer:

(5,3)

Step-by-step explanation:

I took the test and go it right!

The coordinate point for D is (5, 3). Therefore, option C is the correct answer.

What is a rhombus?

A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square. Look at the image below to understand the relationship of rhombus shape with parallelogram and square.

Given that, Point A (2,2), Point B (3,4) and Point C (4,1)

The coordinate point for D that would make ABDC a rhombus.

So, the coordinate point for D is (5, 3).

Therefore, option C is the correct answer.

Learn more about the rhombus here:

https://brainly.com/question/27870968.

#SPJ2

find the missing side of the triangle please

Answers

the side length of c is 17 cm

What is the greatest common factor of the number pair 20 and 30

Answers

Answer:

10

Step-by-step explanation:

do prime factorizations of each number and multiply the common factors

20 = 2 · 2 · 5

30 = 2 · 3 · 5

common factors are 2 and 5

multiply them to get 10

the sides lenghths of a triangle are 9, 12, and 18 is this a right triangle?​

Answers

Answer:

By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.

Find the slope between the points (2,9) and (3,1) *
Please I need help immediately

Answers

Answer:

1

Step-by-step explanation:

Distance between x's (Δx)

0

This field is calculated automatically, you cannot change it's value manually.

Distance between y's (Δy)

1

d = √(Δy2 + Δx2) = √(12 + 02) = √1 = 1

please help, ill give you brainly :)

Answers

1 the answer is e
2 the answer is c
3 the answer is d
4 the answer is a
5 the answer is b

-3(x-2) i am having trouble with this lol

Answers

Answer: -3x + 6

Step-by-step explanation:

Multiply using the disturbutive property.

Answer:

-3x + 6

Step-by-step explanation:

-3x - 3x (-2)

multiply it

-3x+6

Solve each expressions for u and match them with their appropriate value.

Answers

Answer:

u=1

u=2

u=3

u=4

Step-by-step explanation:

trust me i am in 8th grade

can someone please help me with this, ill give you brainiest, I rlly need help!!

Answers

Answer:

y-2=-6(x-1)

Step-by-step explanation:

Answer:

y=-6x+8

Step-by-step explanation:

The midpoint of \overline{\text{AB}} AB is M(5, 1)M(5,1). If the coordinates of AA are (3, 6)(3,6), what are the coordinates of BB?

Answers

Answer:

(7, -4)

Step-by-step explanation:

The formula for calculating midpoint is expressed as;

M(X, Y) = (x2+x1)/2, (y1+y2)/2

X = x1+x2/2

Y = y1+y2/2

Given

X = 5, Y = 1, x1 = 3, y1 = 6

Get x2

X = x1+x2/2

5 = 3+x2/2

10 = 3+x2

x2 = 10-3

x2 = 7

Get y2;

Y = y1+y2/2

1 = 6+y2/2

2 = 6+y2

y2 = 2-6

y2 = -4

Hence the coordinate of B is at (7, -4)

I need help please, I am weird. I know​

Answers

Answer: -10x+9

Step-by-step explanation:

1. Remove parantheses:

-2x+10-8x-1

2. Simpify: -2x-8x+10-1 => -10x+9

Have a nice day! :D

First remove parentheses , so you would have -2x+10 -8x-1 , combine like terms , -10x +10-1 , then subtract the numbers . Your solution is -10x+9 .

Which graph represents the transformation of a translation right 3 and up 2?

Answers

Answer:

there isn't a graph

Step-by-step explanation:

There are cows and turkeys at a farm, 82 heads and 264 legs in all. There is no need to explain that a cow has four legs, while a turkey has two legs. How many cows and turkeys are at the farm? How can I solve this using elimination or substitution can I have steps please. No spamming please

Answers

Cows have 4 legs and turkeys have 2 legs. They each only have one head.
Cows+turkeys=82
4 cow legs + 2 turkey legs = 264
C+T=82
-T. -T
—————
C= 82-T wherever you see a “C” substitute this formula

4C+ 2T=264
4(82-T)+ 2T=264
(82*4)- (4T+2T)= 264

328-2T=264
-328. -328
————————
-2T= -64

-2T/-2= -64/ -2

T=32 there are 32 turkeys
There are 82 heads total
If we know there are 32 turkeys then the rest have to be cows.
82-32=50
Hope this helps!

-4 (y - 2) = 12

what would “y” be?

Answers

Answer:

y = -1

Step-by-step explanation:

When solving this equation use the distributive property and get...

-4 (y - 2) = 12

-4y + 8 = 12

-4y = 12 - 8

-4y = 4

y = -1


help please:(.....................

Answers

35

area of triangle is (base X height)/2
so it would be (14 X 5)/2
which is 70/2
which is 35

Answer:780

Step-by-step explanation:

Base times height times width times 1/2  12x5x12 plus 5x2x6

Lilly records the age, in years, and the height, in inches, of the starting players on the girls’ middle school basketball team.
She records them as ordered pairs (age, height): (11, 62), (12, 64), (13, 65), (13, 67), and (14, 68).
Is this relation a function? Explain.

Answers

Answer:

Im not sure but i think its b or c

Step-by-step explanation:

I would probably mostly recommend b

plz solve this (t+p)4

Answers

Answer:

4t+4p

Step-by-step explanation:

(t+)4
Use the distributive property to multiply t + p by 4
Answer:
4t + 4p

-(5 – 9) - (-2)(2)
how do i solve this?

Answers

Answer:

8

Step-by-step explanation:

-(5 – 9) - (-2)(2)

-(-4) - (-2)(2)

4 - (-4)

4 + 4

8

Use PEMDAS

Answer: The answer is 8

Step-by-step explanation:

PLEASE HELPPPP!!! MEEE! WILL GIVE BRAINIEST!!!
y =
x +

Answers

Answer:

[tex]y = 7x [/tex]

Step-by-step explanation:

To find the slope, which is

[tex] \frac{rise}{run} [/tex]

find how high up the y value goes before it intersects the x line at a specific point. It seems that they intersect at (70,10) which would be 70/10 or 7/1. 7/1 is just 7 so the slope of it is just that, 7. As for finding B, look at where the line starts, of it's above or below 0, then you would add or subtract whatever number it starts at (subtract for negative, add for positive). In this case it seems that the intercept is right at 0 so you would neither add or subtract anything. :)


A farmer wants to fence a piece of his land. Two sides of the triangular field have lengths of 120 feet and 325 feet. The measure of the angle between those sides is 70 degrees. How much fencing will a farmer need?

Answers

Answer: Area=18324 square feet

Explanation: We need to find the area of the field using the side angle side method, which uses the equation (ab*sin C)/2.
Thus, we have (120*325*sin 70)/2=18324 square feet.

Farmer need 750.5 feet fencing for his triangular field.

What is triangle?

"Triangle is  two dimensional geometrical shape with three sides and three vertices. Sum of all the angles of a triangle is equals to 180°.

Formula used

Cosine rule

As per the diagram,

cosθ = (b² +c² -a²) / 2bc

cos 70° = 0.3420

According to the question,

Let AB = c , AC = b  are given sides of measure 120 feet and 325 feet respectively.

and BC = a

Angle between given sides be θ = 70°

Substitute the value in the formula we get,

cos70° = [ (325)² +(120)² - a²] / 2(120)(325)

⇒ 0.3420 = [ 120025 - a²] / 78000

⇒ 120025 -a² = 26676

⇒ a² = 93349

⇒ a = 305.5

Total fencing required for  triangular field = AB + BC +CA

                                                                      = 120 + 325 + 305.5

                                                                      = 750.5 feet

Hence, farmer need 750.5 feet fencing for his triangular field.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ2

convert 40/99 into a decimal round to the nearest tenth if possible

Answers

It should be 0.4 :) Hope this helps!

Answer:

.40

Step-by-step explanation:

convert the fraction to a decimal by dividing the numerator by the denominator.

WILL GIVE BRAINLIEST PLEASE HELP
Ryan and Eduardo are saving up money for a vacation to Italy. They have calculated that the trip will cost at least $900. If they’ve already saved $270, how much more do they need to save in order to have enough for the trip? Write an inequality and solution set

Answers

Answer:

they need to save $630 in order to have enough for the trip

270 + 630 = $900

Leslie's lunch bill is $13.95. She wants to leave a tip that is 15% of the bill. How much tip should she leave?

Answers

Answer:

She would leave a tip of 2.0925 ($2.09)

Step-by-step explanation:

Use the distributive property and fill in the blanks.

7(4x + 2) =
+ 14

Answers

Answer:

that should be your awnser

Which equation represents the graphed line?
y
6
4
NO
O
2
4
6
A. y - 1 = -2(x - 3)
O
B. y - 1 = -2(x + 3)
C. y + 1 = -2(x - 3)
O D. y + 1 = -2(x + 3)

Answers

Answer:

D

Step-by-step explanation:

A bag of 12 ounces of popcorn costs $4.80. What is the unit rate? (in others words what is the cost for one ounce) *​

Answers

Answer:

0.4

Step-by-step explanation:

$4.80 divided by 12 = 0.4

Answer:

2.50 per ounce

Step-by-step explanation:

divide 12 by 4.80

Plz help!!! 10 pts..

Answers

Answer:

63 boquets were sold in the afternoon.

Step-by-step explanation:

Divide 90 by 10 to get 9. Then multiply 9 by 3.

Answer:

23.1 pounds.

Step-by-step explanation:

Multiply 140 by 0.165.

please help me will give you brainliest!!

Answers

Yes
No
No
Yes
I believe

Answer:

yes, no, no, yes

Step-by-step explanation:

Plug in each point into both equations to see which ones fit.

For the first point, (4,1) it works for both equations.

1=-2( 4 ) + 9, 1= -8 + 9, 1=1

4( 4 )+2( 1 )=18, 16 + 2 = 18, 18 = 18

Do it for the rest of the points and plug them in and you get,

no for (5,-3) because -1 does not equal to -3

no for (6,0) because -3 does not equal to 0

(-5,19) is yes because 19=19 and 18=18

Please mark me brainliest

Other Questions
describe nucleus (animal) in your own words(20 points) Simplify: 299.081+59.26-95.32-365.195 spanish please help thank youuu Is the study of matter and energy complete, or do you think theres still new information to discover? SOMEONE PLEASE SUMMARIZE THE AUHTORS NOTE OF life of pi plss Completa el prrafo con un, una, unos o unas para indicar qu hay en la clase. (Complete the paragraph with a, an, or some/a few to indicate what is in the classroom.)La clase tiene cuatro paredes y dos ventanas. La profesora es la Sra. Martnez. En la clase hay 1. ____ escritorio, 2. ____ cesto de papeles, 3. ____ sillas y 4. _____ pupitres con 5. ____ libros6. ____ lpices y 7. _____ bolgrafos. En las paredes 8. Hay ____ reloj,9. ____ sacapuntas y10. ____ pizarra. En la mochila hay 11. ____ marcadores, 12 ____ regla y13. ____ libro de espaol What do you mean by friendly nation Identify three ways in which water is stored. What is "Fria" translated in english from spanish? 1/2 + 2/3 = 8/ 12 + 8 /11 = 2/7 + 6/10= 5. If the ratio of boys to girls in a student's class is 5 to 7, what fraction of the class is boys?What fraction is girls? two hyperextension exercises that should be avoided. The table below Anton Leeuwenhoek devised a primitive microscope to observe a sample of his tooth scrapings. How did this help contribute to cell theory? It helped to show that cells cannot function independently. It helped to show that some bacteria can swim like fish. It helped to show that some bacteria are just one cell. It helped to show that cells can be created from thin air. shows the average wind speeds of four hurricanes in Florida. A line includes the points (-1,0) and (-2,-9). What is its equation in slope-intercept form? a real estate agent sells a house for $360,000. the amount was 30% of her sales for the entire week. which equation could be used to determined s, the total amount of sales for the week Write an equation: Six more than five times a number is negative twenty Ryan bought 4 pounds of flour. He used all the flour to make 6 batches of cookies with 18 in each. How many cookies were made from 2 pounds of flour Lord capulet suggests that Paris Z-Grand Shipping Company manufactures boxes in the shape of a cube.The formula for the surface area of a cube is 6s, where s is the length of one side.Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box issquare feetThe company also manufactures small boxes with a side length of 3 feet. The surface area of each small box issquare feetThe surface area of the large box is times larger than the small box. What does consumption mean