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3 years ago

Find the exponential form of 8/27

Mathematics

1 answer:

love history [14]3 years ago

6 0

<h3>Answer: (2/3)^3</h3>

Explanation:

Note how 8 = 2^3 and 27 = 3^3

This means, 8/27 = (2^3)/(3^3) = (2/3)^3

For the last step, I used the rule (a^c)/(b^c) = (a/b)^c

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(2x² - 5x-3)/ (x-3)<br> DIvide the polynomials

Anika [276]

Answer:

2x + 1

Step-by-step explanation:

$\frac{(2x² - 5x-3)}{(x - 3)}$

Factor out 2x² - 5x-3

$\frac{(2x + 1)(x - 3)}{x - 3}$

divide x - 3 by x - 3

=> 2x + 1

<em><u>Or another step</u></em>

Step by Step Solution

STEP

Equation at the end of step 1

STEP

2x² - 5x - 3/ x - 3

Trying to factor by splitting the middle term

2.1 Factoring 2x² - 5x - 3

The first term is, 2x² its coefficient is 2 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + 1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1

2x² - 6x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (x-3)

Which is the desired factorization

Canceling Out :

2.2 Cancel out (x-3) which appears on both sides of the fraction line.

Final result :

2x + 1

6 0

2 years ago

The sum of two numbers is 72 the greater number is 8 more than the smaller number which equation can be used to solve for the sm

kobusy [5.1K]

Answer:

let x is the smaller number

bigger number is x + 8

The sum of two numbers is 72

x + (x+8) = 72

answer

x + (x + 8) = 72

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A company policy requires that for every 30 employees, there must be 3 supervisors. If there are 267 supervisors at the company,

Alexus [3.1K]

267 supervisors will have 2670 employees.

Step-by-step explanation:

Let x be the number of employees.

Given,

3 supervisors = 30 employees

1 supervisor = $\frac{30}{3}$

1 supervisor = 10 employees

As one supervisor has 10 employees, 267 supervisors will have;

x = 267*10

x= 2670 employees

267 supervisors will have 2670 employees.

Keywords: Multiplication.

Learn more about multiplication at:

#LearnwithBrainly

4 0

3 years ago

5(2x-8)<br><br>please help. I will mark brainliest!

noname [10]

Answer:

just multiply 2x-8 by 5

which is

$10x - 40$

5 0

3 years ago

Read 2 more answers

Will give brainliest plz help

Dominik [7]

Answer:

$\frac{(x+4)^2}{25}+\frac{(y+3)^2}{9}=1$

Step-by-step explanation:

Given:

Center of the ellipse is, $(h,k)=(-4,-3)$

Minor axis length is, $2b=6$

A vertex of the ellipse is at (1, -3)

Now, distance between the center and the vertex is half of the length of the major axis.

Using distance formula for (-4, -3) and (1, -3), we get:

$a=\sqrt{(1+4)^2+(-3+3)^2}=5$

Therefore, the value of half of major axis is, $a=5$ . Also,

$2b=6\\b=\frac{6}{2}=3$

Now, equation of an ellipse with center $(h,k)$ is given as:

$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1$

Plug in $h=-4,k=-3,a=5,b=3$ and determine the equation.

$\frac{(x-(-4))^2}{5^2}+\frac{(y-(-3))^2}{3^2}=1\\\\\frac{(x+4)^2}{25}+\frac{(y+3)^2}{9}=1$

Therefore, the equation of the ellipse is:

$\frac{(x+4)^2}{25}+\frac{(y+3)^2}{9}=1$

6 0

3 years ago

Find the exponential form of 8/27​

Find the exponential form of 8/27