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olya-2409 [2.1K]
3 years ago
9

The expression 1/3b-1/3 factored

Mathematics
1 answer:
Vlad1618 [11]3 years ago
3 0
Since 1/3 is in both 1/3b and -1/3, we can factor it out. Since b*1/3=b and 
(1/3)/(1/3)=1, we get (1/3)*(b-1) using the distributive property
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I need an accurate answer please
kotykmax [81]

x = –6

Solution:

Given expression is \sqrt[3]{x-2}+5=3.

Step 1: Isolate the radical by subtracting 5 from both sides of the equation.

\Rightarrow\sqrt[3]{x-2}+5-5=3-5

\Rightarrow\sqrt[3]{x-2}=-2

Step 2: Cube both sides of the equation to remove the cube root.

\Rightarrow(\sqrt[3]{x-2})^3=(-2)^3

Cube and cube root get canceled in left side of the equation.

\Rightarrow\ x-2=-8

Step 3: To solve for x.

Add 2 on both sides of the equation.

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6 0
2 years ago
Find the solutions to 2x^5-5x^3-3x=0. What are the x-intercepts of the graph of the function f(x)=2x^5-5x^3-3x?
Olegator [25]

Answer:

Solution

roots: ((-\sqrt{3} )   (0,0)   (\sqrt{3})

domain X∈3

vertical intercept (0,0)

x = {0, -1.732050808, 1.732050808}  

Please, find attached images equation graphs

Step-by-step explanation:

Simplifying

2x5 + -5x3 + -3x = 0

Reorder the terms:

-3x + -5x3 + 2x5 = 0

Solving

-3x + -5x3 + 2x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.

x(-3 + -5x2 + 2x4) = 0

Factor a trinomial.

x((-1 + -2x2)(3 + -1x2)) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve:

Simplifying

x = 0

Solving

x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying

x = 0

Subproblem 2

Set the factor '(-1 + -2x2)' equal to zero and attempt to solve:

Simplifying

-1 + -2x2 = 0

Solving

-1 + -2x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.

-1 + 1 + -2x2 = 0 + 1

Combine like terms: -1 + 1 = 0

0 + -2x2 = 0 + 1

-2x2 = 0 + 1

Combine like terms: 0 + 1 = 1

-2x2 = 1

Divide each side by '-2'.

x2 = -0.5

Simplifying

x2 = -0.5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(3 + -1x2)' equal to zero and attempt to solve:

Simplifying

3 + -1x2 = 0

Solving

3 + -1x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -1x2 = 0 + -3

Combine like terms: 3 + -3 = 0

0 + -1x2 = 0 + -3

-1x2 = 0 + -3

Combine like terms: 0 + -3 = -3

-1x2 = -3

Divide each side by '-1'.

x2 = 3

Simplifying

x2 = 3

Take the square root of each side:

x = {-1.732050808, 1.732050808}

Solution

x = {0, -1.732050808, 1.732050808}

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2 years ago
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Answer:

5000 and 100

Step-by-step explanation:

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3 years ago
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Volume is length x height x width.

You are given Volume, Length and width, so we multiply the length and width together then divide the volume by that to find the height.

Length x width = 25 * 10 = 250 square cm.

Height = 10,000 cm^3 / 250 cm^2

Height = 40 cm

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