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Marta_Voda [28]

2 years ago

5

Simplify: StartRoot StartFraction 27 x Superscript 12 Baseline Over 300 x Superscript 8 Baseline EndFraction EndRoot StartFracti

on 9 Over 100 EndFraction x Superscript 4 Three-tenths x squared StartFraction 27 Over 300 EndFraction x Superscript 4 Nine-tenths x squared.

1 answer:

ale4655 [162]2 years ago

8 0

The solution of the expression is $\rm \dfrac{9\times x^4}{100}$ .

Given that

Equation; $\dfrac{27x^{12}}{300x^8}$

We have to simplify the equation.

According to the question

To simplify the equation follow all the steps given below.

Equation; $\sqrt{\dfrac{27x^{12}}{300x^8}}$

Then,

$= {\dfrac{27x^{12}}{300x^8}}\\\\ = \dfrac{3\times 3\times 3 \times x^{8} \times x^{4}}{3 \times 100\times x^8}}\\\\=\dfrac{9\times x^4}{100}$

Hence, the required expression is $\rm \dfrac{9\times x^4}{100}$ .

To know more about Expression click the link given below.

brainly.com/question/16179118

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What is the partial fraction decomposition of StartFraction 8 x + 19 Over (x + 8) (x minus 1) EndFraction? StartFraction 3 Over

hoa [83]

The partial fraction decomposition is $\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

<h3>How to determine the decomposition?</h3>

The fraction is given as:

$\frac{8x + 19}{(x + 8)(x - 1)}$

Split the fraction as follows:

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{A}{x + 8} + \frac{B}{x - 1}$

Take the LCM

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{Ax -A + Bx + 8B}{(x + 8)(x -1)}$

Cancel the common factors

8x + 19 = Ax - A + Bx + 8B

By comparison, we have:

Ax + Bx = 8x

-A + 8B = 19

This gives

A + B = 8

-A + 8B = 19

Add both equations

9B = 27

Divide by 9

B = 3

Substitute B = 3 in A + B = 8

A + 3 = 8

Solve for A

A = 5

So, we have:

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

Hence, the partial fraction decomposition is $\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

Read more about partial fraction at:

brainly.com/question/12783868

#SPJ1

6 0

2 years ago

2/3, 24%, 0.61 least to greasiest

Semmy [17]

24% .61 2/3 two thirds is .66 24% is .24 and .61 is .61

4 0

2 years ago

Solve each trigonometric equation such that 0 ≤ x ≤ 2????. Give answers in exact form.

sveticcg [70]

Answer:

(a) $x=\frac{5\pi }{3}$

(b) $x=\frac{\pi }{8}$

Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$

(a) We have given equation $2sinx+\sqrt{3}=0$

$sinx=\frac{-\sqrt{3}}{2}$

$x=sin^{-1}(-0.866)$

$x=\frac{-\pi }{3}=2\pi -\frac{\pi }{3}=\frac{5\pi }{3}$

(b) $tan(2x)=1$

$2x=tan^{-1}1$

$2x=\frac{\pi }{4}$

$x=\frac{\pi }{8}$

7 0

3 years ago

2x-1+3x=0 5x-1=0 how can we get equation b from a

cluponka [151]

2x - 1 + 3x = 0
2x + 3x - 1 = 0
(2 + 3)x - 1 = 0
5x - 1 = 0

7 0

2 years ago

find the equation of the line that is parallel to the line Y equals 3X -6 and passes through the points (1 -8). Write the equa

AlladinOne [14]

<h3>hello!</h3>

=====================================================

Parallel lines have the same slope.

So if the given line has a slope of 3, then the line parallel to it has the same slope (3)

Now, let's write the equation of the line in Point-Slope Form.

Remember, point-slope form looks like so:-

$\bigstar{\underline{\boxed{\pmb{y-y1=m(x-x1)}}}$

Where

y₁ is the y-coordinate of the point that the line passes through

m is the slope

x₁ is the x-coordinate of the point that the line passes through

In this case,

y₁ is equal to -8

m is equal to 3

x₁ is equal to 1

Plug in the values:

$\longrightarrow\sf{y-(-8)=3(x-1)}$

Simplify:

$\longrightarrow\sf{y+8=3(x-1)}$

and we're done!

=========================================================

<h3>note:-</h3>

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

4 0

2 years ago