Mathematics High School

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

6.) In the recent presidential election, Ohio had 20 electoral votes. This is 14 votes less
than Texas had. How many electoral votes did Texas have?

Answers

Answer:

Texas had 34 electoral votes

Step-by-step explanation:

Ohio had 20 electoral votes in the recent presidential election.

Those 20 votes are 14 votes less than Texas had.

This means Texas had 14 votes more than Ohio, that is:

Votes of Texas = 20 + 14 = 34

Texas had 34 electoral votes

0.8 = 0.5x

Solve for x

Please show steps thanks so much

Answers

If I’m not mistaken, to solve for x you have to get it by itself so you need to divide 0.5 from both sides:

0.8/ 0.5 = 0.5x/ 0.5

Cross out the 0.5’s on the right because they cancel out and you will end up with:

0.8/ 0.5 = x

All you have to do then is divide 0.8 by 0.5 and you get:

1.6 = x

Solve the equation 3x^2+x-5=0

Answers

Answer:

Step-by-step explanation:

Use the quadratic equation, with a = 3, b = 1 and c = -5

Discriminant b^2 - 4ac is 1 - 4(3)(-5) = 61

Because the discriminant is + there are two real, unequal roots:

     

      -1 ± √61

x = ---------------

            6

There is a line whose slope is 7 and whose y-intercept is -5. why is it's equation in slope-intercept form?​

Answers

Answer:

y = 7x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 7 and c = - 5, then

y = 7x - 5 ← equation of line

Pl help it’s for a grade I will give you Brainly if right

Answers

15ℎ2+26ℎ−21

yes yes yes yes

pls help there are 5 pics with multiple questions inside of them pls thank you

Answers

Answer:

12. The second one

13. The first one

14. The last one

15. The first one

16. 30 degrees

Step-by-step explanation:

Solve for x.
21 °
х
22

Answers

Answer:

462

Step-by-step explanation:

write the slope intercept from of the equation of the line​

Answers

Answer:

y= x + 2

Hope this helps

1. Slope = -3
Y-intercept = 4
Y = mx + b

Answers

Answer:

y=(-3)+4

Step-by-step explanation:

Answer:

the equation will be y=-3x+4

Step-by-step explanation:

b is the y intercept, and mx is the slope, also the rate of change. if you asking for an equation.

What is f(-2)?

A. -3
B. -1
C. 1
D. 3

Answers

Answer:

D.3

Step-by-step explanation:

What is the range of the function represented by the graph?

On a coordinate plane, points are at (0, 1), (1, 2), (2, 3), (3, 4).
{0, 1, 2, 3}
{1, 2, 3, 4}
1 less-than-or-equal-to y less-than-or-equal-to 4
0 less-than-or-equal-to x less-than-or-equal-to 3

Answers

Answer:

{1,2,3,4}

Step-by-step explanation:

cant be zero, also got it right on edge 2020

Answer:

{1,2,3,4}

Step-by-step explanation:

Find the value of x.

Answers

5x+5= 35

35-5= 30

5x=30

30/5= 6

X=6

I think it is an acute triangle

Not positive on the type of triangle

what is the answer to
-4x12

Answers

Answer:

-48

Step-by-step explanation:

the correct answer is,

[tex] - 48[/tex]

The equation y = 40x models the number of words that George can type in x
minutes. The table below shows the number of words that Patricia can type in
different amounts of time.
A) Patricia can type 35 more words per minute than George.
Minutes
Words
5
375
525
825
B George can type 35 more words per minute than Patricia.
7
11
Patricia can type 45 more words per minute than George.
George can type 45 more words per minute than Patricia.

Answers

Answer: A Patricia can type 35 more words per minute than George

Step-by-step explanation:

Can someone please help me out this this I don’t get it

Answers

the vertex would be (1,1). Is that what the question is asking?

10) -6x + 8y = 0
-3x + 4y = 2

Infinite solution or no solution

Answers

no solution bc if u multiply the bottom equation by -2, it makes 6x-8y=-4. This caused the x and y to eliminate, leaving 0=2.

Part A- solve for x
Part B- solve for y
Part C- find the perimeter
(photo included)

Answers

Part A: x=3
Part B: y=3

A plant is already 54 centimeters tall, and it will grow one centimeter every month. The plant's height, H (in centimeters), after M months is given by the following.
What is the plant's height after 13 months?

Answers

Answer:

67 cm

Step-by-step explanation:

We are given the initial height of the plant let's call it H.

H = 54 cm. This is the original height of the plant at M(months) = 0.

We are given that it grows at 1 cm/month. This is the rate of growth.

Rate = 1

Time (M) is given in Months.

So when M = 0, H = 54

Let's say M = 1, That is one month has passed. In this time the plant's height would have increased by 1 cm. So our plant's height would be H = 54+1 = 55 cm.

When Two months have passed our plant's height would be H = 54 + 2 = 56 cm , since every month our plant gains 1 cm in Height, we can make a fuction for this.

H = 1M + 54.

Now we just plug in 13 for M, to get 13 months.

H = 13 + 54

H = 67 cm

So our plant would be 67 cm in height after 13 months.

select all that are equal to 5³x 5⁻⁷

Answers

Answer:

The third and fifth are correct

The second one is NOT correct

answer : the second and third ones are correct.

explanation for the second one : they don’t accept negative exponent answers. by putting a “1” on top, it just means that you’re simplifying the problem and you’re just taking the 5^-4 and making it positive

explanation for the third one : it’s just the answer to 5^3•5^-7 but not simplified yet

Help that’s it just help I’ll give brainiest

Answers

Answer:

1725 ft^2

Step-by-step explanation:

[tex]\frac{b_{1} + b_{2}}{2} (h) = \frac{65 + 50}{2} (30) = \frac{115}{2} (30) = 57.5(30) = 1725[/tex]

Brainliest would be appreciated!

what degrees did Rosa Parks earn?
Plzzz help

Answers

Answer:

she Earned freedom and justice

Mrs. Parks received more than forty-three honorary doctorate degrees, including one from SOKA UNIVERSITY, Tokyo Japan, hundreds of plaques, certificates, citations, awards and keys to many cities. Among them are the NAACP's Spingarn Medal, the UAW's Social Justice Award, the Martin Luther King, Jr.

Find all zeros and write the polynomial as a product of linear factors


P(x) = x^3 -5x^2 + 2x +12

Show work please

Answers

The cubic equation can be written as a product of linear expressions as: (x-3)(x^2-2x-4)

Brenda had $23 to spend on two notebooks. After buying them she had $19. How much was each notebook?

Answers

Answer:

Brenda has 4 dollars

Step-by-step explanation:

Answer:

Each notebooks cost $2

Step-by-step explanation:

23-x=19

x=4

But she had 2 notebooks

So that means 4÷2=2

What is 2 + 3/8?

Please helpp!!

Answers

Answer: 2 + 3/8 is 2 3/8, 19/8, or 2.375

Step-by-step explanation:

3)
Three angles are in the ratio 2:3:5
The smallest angle is 50
Work out the sizes of the other two angles

Answers

Answer:

The other two angles are 75° and 125°.

Step-by-step explanation:

Let three angles are 2x, 3x and 5x.

The smallest angle is 50.

It means,

2x = 50

x = 25

So,

3x = 3(25) = 75°

5x = 5(25) = 125°

So, the other two angles are 75° and 125°.

You want to rent a television Company A charges $50 per week plus a one-time fee of $15. Company B charges 130 per week plus a one time fee of $55. After
how many wears are the total costs the same at the companies?

Answers

Company A: y = 50x + 15
Company B: y = 130x + 55

Set the equations equal to each other and solve for x (number of weeks).
50x + 15 = 130x + 55

Subtract 50x from both sides:
15 = 80x + 55

Subtract 55 from both sides:
-40 = 80x

Did you have a typo? The companies will never have the same cost because company B costs so much more and weeks cannot be negative.

What is the answer plz help

Answers

so the formula is V= 4/3 times pi times radius ^3 so you write in calculator 4 divided by 3 times 3.14 times 11^3 which is 5575.28 but you half it cause it’s a hemisphere so it becomes 2787.28 to the nearest tenth it is 30 inches.

evaluate each expression when x=3 (iready)

Answers

Answer:

3

Step-by-step explanation:

x^5 = ?^5

x = 3

We plug in x = 3:

3^5 = ?^5

We find the fifth root of both sides and get:

3 = ?

That means that 3 is the answer

Answer:

3

Step-by-step explanation:

To evaluate the expression you would add in the x so in BLANK^3

you would plug in the x which is 3.

First to answer all of the questions will be marked brainiest and get some points points

Answers

Answer:

Whole numbers:

3, √4, zero

Integer but not whole:

-100, -34, -4, -8/4

Rational numbers:

89/10, 49/7, 1/2, 9.23456, 0.333...

Irrational numbers:

π, 0.456783..., √8

Answer:

Whole numbers:

3, √4, zero

Integer but not whole:

-100, -34, -4, -8/4

Rational numbers:

89/10, 49/7, 1/2, 9.23456, 0.333...

Irrational numbers:

π, 0.456783..., √8

Step-by-step explanation:

You get a $400 base salary for your job selling toasters. You also get a 2% commission on all your sales . If you had $390 in sales , what is your take home pay ?

Answers

Answer:

$17,800 ?

Step-by-step explanation:

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