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

What number is ten times greater than 10?

Answers

Answer:

100

Step-by-step explanation:

Multiply 10 by 10

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.)

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

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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.

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.

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

-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

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

Answers

Answer: -1.67

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

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

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

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

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. :)

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 ;)

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)

[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.

+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

-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

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

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!

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:

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

Answers

Answer:

the curved area would be 396cm^2

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:

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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

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

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

find the number whose 5 by 7 is 125​

Answers

Answer:

175 is the correct answer

Step-by-step explanation:

175*5/7=125

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]

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

Answers

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

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

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)

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