Write the steps to "undo" the equation to solve for x and then give the value of x that
solves the equation.
2 = (x - 4)^3
X = ?

Answers

Answer 1

Answer:

[tex]x=\sqrt[3]{2}+4[/tex]

Step-by-step explanation:

To "undo" this equation, we need to solve for x.

We begin with the equation

[tex]2=(x-4)^3[/tex]

To remove the cube, we need to take the cubic root of both sides

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

And the last step to solve for x will be to add 4 to each side

[tex]\sqrt[3]{2} +4=x-4+4\\\\\sqrt[3]{2} +4=x[/tex]

And there is our value for x


Related Questions

find the number whose 5 by 7 is 125​

Answers

Answer:

175 is the correct answer

Step-by-step explanation:

175*5/7=125

we have 4 1/2 cups of chocolate chips. a batch of our madison cookies requires 3/4 cup of chocolate chips. how many batches can we make?

Answers

Answer:

You can make 6 batches of cookies.

Step-by-step explanation:

3/4 + 3/4 = 1 1/2 (2)

1 1/2 + 1 1/2 = 3 (4)

3 + 1 1/2 = 4 1/2 (6)

Answer:

6 batches

Step-by-step explanation:

4 1/2 divided by 3/4

is 6

4 1/2  /  3/4 = 6

so you can make six

is how many batches

you can make.

(i checked my answer with a calculator)

Point P(3, 9) in the coordinate plane is rotated 90 degrees counterclockwise about the origin. What are the coordinates of its image?

Please show all work and not just the answers.

Answers

Answer:

  P'(-9, 3)

Step-by-step explanation:

The transformation for rotation counterclockwise about the origin by some angle α will be ...

  (x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))

When the angle is α = 90°, this reduces to ...

  (x, y) ⇒ (-y, x)

You have (x, y) = (3, 9), so the image point is P'(-9, 3).

__

Additional comment

The "work" is applying the right sign and choosing the right coordinate to fill in the values (-y, x). I find it easier to look up the transformations for ±90° and 180°, rather than try to derive them from first principles every time. Your text may have a list:

90° CCW or 270° CW: (x, y) ⇒ (-y, x)90° CW or 270° CCW: (x, y) ⇒ (y, -x)180°: (x, y) ⇒ (-x, -y)

Round each mixed number to the nearest whole number. Then, estimate the quotient
[tex]24 \frac{16}{17} \div 4 \frac{8}{9} [/tex]

Answers

Answer:

Quotient = 5

Step-by-step explanation:

Step 1

Round each mixed number to the nearest whole number

a) 24 16/17 = 424/17

= 24.941176471

Approximately to the nearest whole number ≈ 25

b) 4 8/9 = 44/9

= 4.8888888889

Approximately to the nearest whole number ≈ 5

Next step we estimate the quotient

Quotient = Dividend ÷ Divisor

Dividend = 25

Divisor = 5

Quotient = 25 ÷ 5

= 5

Therefore, the quotient is 5

7.75 divided by 0.25 and 0.00942 divide by 0.314 pls iwant the answers and with the EXPLANATION

Answers

Answer:

7,75 chia cho 0,25 và 0,00942 chia cho 0,314=10480.47926

Step-by-step explanation:

explanation is arithmetic

Add: 7/8 + 5/6 .......

Answers

Answer:

1 17/24

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Exact Form:

41/24

Decimal Form:

1.7083

Mixed Number Form:

1 17/24

Answer:

1 13/16

Step-by-step explanation:

7/8 x 6/6 = 42/48

5/6 x 8/8 = 45/48

45/48 + 42/48 = 87/ 48

87/48 = 1 39/48

1 39/48 = 1 13 /16

Hopefully this helps you  :)

pls mark brainlest ;)

find AC A.6 B.12 C.16 D.10

Answers

Answer:

d

Step-by-step explanation:

add the dashes up =10

Answer:

10

Step-by-step explanation:

AC is the difference between the position of A and C, that is

AC = | - 8 - 2 | = | - 10 | = 10 or

AC = |  2 - (- 8) | = | 2 + 8 | = | 10 | = 10

solve the system of equations using matrices and a calculator.
3x - 4y + 5z = -10
2x - y -2z = 12
x + y - z =15

Answers

(x, y, z) = (59/8, 6, -13/8)

Answer:

x = 59 / 8

y = 6

z = -13 / 8

Step-by-step explanation:

For this problem, you simply need to set up the augmented matrix for you to enter into the calculator.  Once entered into the calculator, you will be given the values for x, y, and z.  Here is the augmented matrix:

3x - 4y + 5z = -10

2x - y - 2z = 12

x + y - z = 15

3  -4  5  |  -10

2  -1  -2  |  12

1    1  -1   |  15

Input this augmented matrix into the calculator and you will get these values for x, y, and z:

x = 59 / 8

y = 6

z = -13 / 8

Cheers.

1.2 + 0.8-4-3(0.7 -0.81)
evaluate the expression

Answers

Answer: -1.67

1.2+.8-4-3(-.11)

What number is ten times greater than 10?

Answers

Answer:

100

Step-by-step explanation:

Multiply 10 by 10

If f(x)=x-3/x and g(x) = 5x – 4, what is the domain of (f o g) (x)?

Answers

Answer:

Step-by-step explanation:

evaluate the expression. 5^2. what is the value of the expression?​

Answers

Answer:

25

Step-by-step explanation:

Any numbers to the 2nd powered are always squared. Whenever you are given an exponent, the base is the number that you multiply, and the power is one more than how many times you multiply the base number together. In this case, you multiply five by itself once to get 25 as your answer.

5^2 is the same thing as saying 5•5 there for 5^2 equals 25

Write an expression that represents each statement.
The total cost of my cell-phone bill for the 1st month, if lam charged a standard
of $50 plus.50 cents for each channel that I have in my package.

Answers

50+.50x (x with the .50 is the variable, because the amount of channels you have is currently unknown.)

-3(2x - 7) + 4x = 15
solve for c

Answers

Answer:

x=3

Step-by-step explanation:

-6x+21+4x=15

-2x+21=15

-2x=15-21

-2x=-6/2

x=3

the ratio of picnic tables to garbage cans in a new national park should be 5:2. the park design shows plans for 30 picnic tables in a small campground and 110 picnic tables in a large camp ground how many garbage cans should there be in each campground

Answers

Answer:

Small campground = 12 garbage cans

Large campground = 44 garbage cans

Step-by-step explanation:

Picnic tables : garbage cans

= 5 : 2

Small campground = Picnic tables : garbage cans

= 30 : x

5 : 2 = 30 : x

5/2 = 30/x

Cross product

5 * x = 2 * 30

5x = 60

x = 60/5

= 12

5 : 2 = 30 : 12

large camp ground = Picnic tables : garbage cans

5 : 2 = 110 : x

5/2 = 110/x

Cross product

5 * x = 2 * 110

5x = 220

x = 220/5

= 44

5 : 2 = 110 : 44

Therefore, there are 12 garage cans in the small campground and 44 garbage cans in the large campground

Is 8/10 equal to 6/5

Answers

No it is not. 8/10 is equal to 4/5 and 6/5 is equal to 12/10 or 1 1/5

Mr. Drew wants to build a square sandbox for his children. The area of the sandbox will be 104 ft2. To the nearest​ tenth, what is the total length of Mr. Drew wants to build a square sandbox for his children. The area of the sandbox will be 104 ft2. To the nearest​ tenth, what is the total length of wood Mr.drew needs to make the sides of the sandbox

Answers

Answer:

26 ft.2

Step-by-step explanation

Divide 104 by 4 because the sandbox is a square. With a square all sides are equal length, so you just divide by the amount of sides.

Hope this helps. :)

+please help i dont know how to solve this

Answers

Answer:

thee answer is 3375ft

Step-by-step explanation:

Volume =length x width x height

V = 15ft x 15ft x 15ft

=3375 ft

can I please get brainly

[Giving Brainliest] What is [tex]2x+1[/tex]

Answers

Answer:

2x+1

Step-by-step explanation:

There is no way to simplify or solve any further.  It's not even an equation, it's an expression.

what is the inverse function for y=2/5x-1

Answers

Inverse function for y= 2/5x-1 = (0,-1)

r is in the middle of pqs btw

Answers

Answer:

46

Step-by-step explanation:

5x = 3x - 2 + 34

5x = 3x + 32

2x = 32

x = 16

plug back in

3( 16 ) - 2

48 - 2

46

1 3/4 change to improper fraction

Answers

Answer:

7/4

Step-by-step explanation:

1x3+3/4

then will get you to

4+3/4

and the solution is

7/4

Calculate the curved surface area of cylinder of radius 14cm and of height 9cm.

Answers

Answer:

the curved area would be 396cm^2

Pls solve this for me

Answers

Answer:

D -3/2

Step-by-step explanation:

The solutions are x = -3 and x = 3/2, however, you can solve this as well by looking at part of the quadratic formula:

[tex]x_1+x_2 = \frac{-b + \sqrt{b^2-4ac}}{2a} + \frac{-b - \sqrt{b^2-4ac}}{2a} = \frac{-b}{a}[/tex]

the formula implodes when you add the roots!

Express 18.348 in the form p/q where p and q are integers, q≠ 0

Answers

Answer:

[tex]\frac{18348}{1000}[/tex]

Step-by-step explanation:

The 8 in the decimal part 0.348 is in the thousandths position, thus

18.348

= 18 [tex]\frac{348}{1000}[/tex]

= [tex]\frac{18(1000)+348}{1000}[/tex]

= [tex]\frac{18348}{1000}[/tex]

the sum of a number x and 10 ​

Answers

Answer:

x + 10

Step-by-step explanation:

x and 10 are not the same

The sum of the numbers x and 10 is ( x + 10 ).

What is summation?

The process of increment of any number of quantities or the process of integrating small parts to make a big part is called summation.

The given numbers are x and 10. The sum of the given numbers x and 10 is calculated as:-

Sum = x + 10

Hence, the sum is ( x + 10 ).

To know more about summation follow

brainly.com/question/542712

#SPJ2

Find a polynomial F(x) of degree 3 with real coefficients and the following zeros. 4,1-i help fast please?

Answers

Answer:

f(x) = x³ - 6x² + 10x - 8

Step-by-step explanation:

Complex zeros occur as conjugate pairs, thus

Given x = 1 - i is a zero then x = 1 + i is also a zero

Given the zeros are

x = 4, x = 1 - i, x = 1 + i then the corresponding factors are

(x - 4), (x - (1 - i) ), (x - (1 + i ) ), that is

(x + 4), ( x - 1 + i), (x - 1 - i)

f(x) is then the product of the factors, that is

f(x) = (x - 4)((x - 1) + i)((x - 1) - i ) ← distribute the complex factors

     = (x - 4)((x - 1)²  - i² ) → i² = - 1

     = (x - 4)(x² - 2x + 1 + 1)

     = (x - 4)(x² - 2x + 2) ← distribute

     = x³ - 2x² + 2x - 4x² + 8x - 8 ← collect like term

f(x) = x³ - 6x² + 10x - 8

The required polynomial is f(x) = x³ - 6x² + 10x - 8 which has a degree is 3 with real coefficients.

What is a polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers.

The required polynomial F(x) of degree 3 with real coefficients and the following zeros. 4, 1-i

This means i.e.

x = 4, x = 1 - i, and x = 1 + i

As per the fundamental of algebra, the corresponding factors are (x - 4), (x - (1 - i) ), (x - (1 + i ) ),

The factors are (x + 4), ( x - 1 + i), and (x - 1 - i)

If the above corresponding factors are multiplied then we can find f(x)

f(x) = (x - 4)((x - 1) + i)((x - 1) - i )

f(x) = (x - 4)((x - 1)²  - i² ) → i² = - 1

f(x) =  (x - 4)(x² - 2x + 1 + 1)

f(x) = (x - 4)(x² - 2x + 2)

f(x) = x³ - 2x² + 2x - 4x² + 8x - 8

f(x) = x³ - 6x² + 10x - 8

Thus, the required polynomial is f(x) = x³ - 6x² + 10x - 8.

Learn more about the polynomial here:

brainly.com/question/11536910

#SPJ2

-8(x - 7)

(Distributive property)

Answers

Answer:

-8x+56

Step-by-step explanation:

we have to multiply 8 by x and -7

-8 times x is -8x. However -8 times -7 is POSTIVE 56

Answer:

So the answer to this problem would be -8x+56

Step-by-step explanation:

The reason for this is -8 multiply by x and multiply by -7 so if you multiply -7 and -8 together u will get 56 and -8 multiplied with x is = -8x

Hope that helps

Can someone tell me how to do this?

Answers

Answer:

For #21, x = 35, y = 85

Step-by-step explanation:

For these types of problems, you will simply use to facts.  The sum of the measure of a line is 180 degrees, and alternate angles of crossing lines are equivalent.  With that being said, let's work #21.

We can see that there are two lines, and we are given 2 values to find with 3 possible equations.

[1] ( 2x + 25 ) + y = 180

[2] y + ( 3x - 10 ) = 180

[3] 2x + 25 = 3x - 10

Using any of these equations, we can solve for the variables.  Let's use the 1st and 3rd equations to find x and y.

2x + 25 = 3x - 10

2x + -2x + 25 + 10 = 3x + -2x + -10 + 10

35 = x

Now plug in the value of x to find y:

( 2x + 25 ) + y = 180

( 2(35) + 25 ) + y = 180

( 70 + 25 ) + y = 180

95 + y = 180

y = 85

We can check these values by plugging into the 2nd equation

x = 35 ; y = 85

y + ( 3x - 10 ) = 180

(85) + (3(35) - 10) = 180

85 + ( 105 - 10) = 180

85 + 95 = 180

180 = 180

Thus, we have validated our results and found the values of x and y.

Cheers.

4. Mr. Y invested $2,000 in two accounts. One pays 7%

annual interest; one 5%. At the end of 1 year, Mr. Y

earned $155 in interest. How much had Mr. Y invested

in the account paying 7%?

Answers

Answer:

He invested approximately $2,215

Step-by-step explanation:

Mr Y invested $2000 in two accounts.

One pays 7%, and the other pays 5%.

At the end of one year, Mr Y earned $155 in interest. We want to know how much Mr Y invested in the account paying 7%.

Let the amount he invested be X, then

7% of X = 155

(7/100)X = 155

0.07X = 155

X = 155/0.07

= 2,215

He invested approximately $2,215

Other Questions
Answer:5. A shop sells a bicycle for N$ 1 730.25, make a profit of 5%. At what wholesale price didthe shop buy the bicycle?Answer: Question 1 of 10Which sentence is the best example of foreshadowing?A. Even though he should have been studying for the chemistry test,Corey decided to go to the movies instead.B. When the weather was bad, Corey liked to spend the day indoorswatching a movie.C. Corey enjoyed going to the movies with his friends and tried to goas often as possible.D. Corey often had hours of chemistry homework and spent much ofhis time studying. Find the LCM of 30 and 22. LCM = ___a0 WILL GIVE BRAINLIEST WORTH THIRTY POINTS! Find a so that CD will have the given slope: a) C(5,2), D(4,a); m=0 b) C(a,1), D(3,2); m=undefined c) C(3,2), D(1,a); m=2 For each of the following pairs of concepts, first determine which is the genus, which the species; and then name two other species of the same genus.1. MAN, ANIMAL.2. AUTOBIOGRAPHY, NONFICTION BOOK.3. VEHICLE, CAR. Question 1Elena, Lin, and Noah all found the area of Triangle Q to be 14 square units butreasoned about it differently, as shown in the diagrams. Explain at least one student'sway of thinking and why his or her answer is correct.QLinElenaQNoah Geography in attachment Mr. Bell drove 440 miles in 8 hours, on the highway, at a steady speed. How far could he drive in five hours at the same average speed? the library is having a fall festival to raise money ashley spend 3.60 on popcorn 0.75on a drink and 5.00 to ride the ferris wheel how much money did ashley spend at the fall festival How many calories will Darrel burn in 1 minute while kayaking enter the answer below in the box 50/200, 100/400, 150/600, 200/800 a tungsten and coil has a resistance of 12 ohm at 15 degree celsius is the temperature coefficient of resistance of tungsten is 0.004 calculate the equal resistance at 80 degree Celsius True or False: If a point charge has electric field lines that point into it, the charge must be positive. Move. After the origin, (0,0), set the equation of EF is y=x. no record the coordinates of the vertices of a polygon ABCD. what are the coordinates of the vertices of the reflected polygon AefBefCefDef where EF is the line of reflection? enter the coordinates on the table Jenay wants to participate in a physical activity that will help improve her flexibility. Which type of activity should she choose? The small object in the picture is an artifact from Anglo-Saxon England. What do you think this object might be?part of a ringpart of a swordmoneya good-luck charm a false tooth Which phrases describe the location of the Sumerian city-states? Check three answers. in the desert on good farmland in the mountains near the Tigris River near the Euphrates River I will mark as BRANLIEST!!!How would you begin to answer this question- solve for x if, 2x + 3x = 10. whats the answer? Plz help me! Im desperate To simplify an expression means to ensure there are no parentheses and no liketerms.TrueOrFalse What characteristics must be true of well-stated hypothesis 2. Il faut aller en ___ pour faire un stage de rafting et d'escalade.3. Pendant les stages ___ on apprend voler.