What is 0.906,0.796,0.995,0.329,and 0.625 in decreasing order?

Stuck on this it's Algebra 2 12x^{3} -3x^{2} =0

olchik [2.2K]

Answer:

Exact Form:

x = 0, 1/4

Decimal Form:

x = 0, 0.25

Step-by-step explanation:

Step 1: Factor 3x^2 out of 12x^3 - 3x^2

Factor 3x^2 out of 12x^3:

3x^2 (4x) - 3x^2 = 0

Factor 3x^2 out of -3x^2:

3x^2 (4x) + 3x^2 (-1) = 0

Factor 3x^2 out of -3x^2 (4x) + 3x^2 (-1) :

3x^2 (4x-1) = 0

Step 2: Divide each term by 3 and simpify

divide each term in 3x^2 (4x-1) = 0 by 3.

3x^2 (4x-1) / 3 = 0 / 3

simplify 3x^2 (4x-1) / 3.

Cancel the common factors.

3 x^2 (4x -1) / 3 = 0 / 3

divide x^2 (4x-1) by 1.

x^2 (4x-1) / 3 = 0 / 3

Apply the Distributive Property

Reorder.

Rewrite using the commutative property of multiplication.

4x^2 x + x^2 · -1 = 0 / 3

Move -1 to the left of x^2

4x^2 x -1 · x^2 = 0 / 3

Simplify each term

multiply x^2 by x^2 by adding the exponents.

Move x

4 (x · x^2) -1 · x^2= 0 / 3

Multiply x by x^2

Rase x to the power of 1.

4 (x^1 · x^2) -1 · x^2= 0 / 3

Use the power rule a^m a^n = a^m+n to combine exponents

4x^1+2 -1 · x^2= 0 / 3

Add 1 and 2.

4x^3 -1 · x^2= 0 / 3

Rewrite -1x^2 as -x^2.

4x^3 -x^2= 0 / 3

Divide 0 by 3

4x^3 -x^2= 0

Step 3: Factor x^2 out of 4x^3 -x^2.

Factor x^2 out of 4x^3

x^2 (4x) -x^2 = 0

Factor x^2 out of -x^2

x^2 (4x) x^2 · -1 = 0

Factor x^2 out of x^2 (4x) x^2 · -1

x^2 (4x -1) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0

x^2 = 0

4x -1 = 0

Set x^2 equal to 0 and solve for x

x = 0

Set 4x -1 equal to 0 and solve for x

x = 1/4

The final solution is all the values that make x^2 (4x-1) = 0 true

x= (0, 1/4)

6 0

3 years ago

Are of quadrilateral

koban [17]

Answer:

Area of Quadrilateral = 289.57 sq.cm

Step-by-step explanation:

First of all, let us understand what is a Quadrilateral?

A quadrilateral is a polygon with four sides. A quadrilateral is a closed two-dimensional figure formed by joining the four points among which three points are non-collinear points.

Given,

Length of sides :

AB = 7.5 cm

BC = 11.7 cm

CD = 15.6 cm

AD = 18 cm

and given , the Angle between BCD is 90 degrees and the angle between BAD is 90 degrees.

It implies that the TRAINGLES BCD and BAD are Right angled triangles

So, the length of BD can be found using Pythagorean theorem

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

From the Triangle of BCD,

a= BC

b=CD and

c= BD

Therefore, The length of BD =

c= $\sqrt[2]{(11.7^{2})+(15.6 x^{2}) }$

c = $\sqrt{380.25}$

c = 19.5 cm

Hence, c= BD=19.5 cm

Now, Area of Quadrilateral =

1/2*(diagonal)*(sum of height of two triangles)

Here, Diagonal = Length of BD = 19.5 cm

Height (h1) = BC = 11.7 cm

Height ( h2) = AD = 18 cm

Therefore, Area = 1/2*19.5*(11.7+18)

= 289.57 sq.cm

Refer more about Area at below link:

https://brainly.in/question/2466686

#SPJ10

5 0

2 years ago

Factorize: 3a^2 + 10a + 3

sergey [27]

Answer: (3a + 1) (a + 3)

Step-by-step explanation:

Concept:

Here, we need to know the idea of factorization.

It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.

Solve:

Given = 3a² + 10a + 3

STEP ONE: separate 3a² into two terms

3a

a

STEP TWO: separate 3 into two terms

3

1

STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.

3a 1

a 3

When cross multiply, 3a × 3 + 1 × a = 10a

STEP FOUR: combine the expression horizontally to get the final factorized expression.

3a ⇒ 1

a ⇒ 3

(3a + 1) (a + 3)

Hope this helps!! :)

Please let me know if you have any questions

7 0

3 years ago

What is 4y=4x+8? I am not good at math in anyway possible

I am Lyosha [343]

4x/4= x
4y/4 = y
8/4=2
Answer: y=2

6 0

3 years ago

Read 2 more answers

A rectangle has a perimeter of 30 inches. one side measures 5 inches. what are the measure of the other three sides.

USPshnik [31]

One side is 5, another is 5, one side is 10, another side is 10. 5+5+10+10= 30

6 0

3 years ago