<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B%5Cfrac%7B5%7D%7B6%7D%20%7D%20%7D%7Bx%5E%7B%5Cfrac%7B1%7D%7B6%7D%20%7D%20%7D"

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3 years ago

id="TexFormula1" title="\frac{x^{\frac{5}{6} } }{x^{\frac{1}{6} } }" alt="\frac{x^{\frac{5}{6} } }{x^{\frac{1}{6} } }" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Kryger [21]3 years ago

4 0

Answer:

x^2/3

Step-by-step explanation:

(x^5/6)/(x^1/6)=x^(5/6-1/6)=x^4/6

simplify 4/6, you get 2/3.

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How will you know whether a solution is a percent increase or a percent decrease?

chubhunter [2.5K]

Step-by-step explanation:

First, work out the difference (decrease) between the two numbers you are comparing. Next, divide the decrease by the original number and multiply the answer by 100. If the answer is a negative number, this is a percentage increase.

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3 years ago

Which method used to calculate finance charges is most favorable to the card issuer?

Ivenika [448]

Answer: c. previous balance method

The method used by credit card companies to calculate finance charges in which it is most favorable to the card issuer is the previous balance method. This is computed by charging the interest into the new billing period. This is least favorable to cardholder thus, most favorable to card issuer.

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3 years ago

Read 2 more answers

One vertex of a triangle is located at (0, 5) on a coordinate grid. After a transformation, the vertex is located at (5, 0). Whi

madreJ [45]

Answer:

The Transformations are R(O , -90°) & R(O , 270)

Step-by-step explanation:

* Lets revise the rotation of a point

- If point (x , y) rotated about the origin by angle 90° anti-clock wise

∴ Its image is (-y , x)

- If point (x , y) rotated about the origin by angle 90° clock wise

(270° anti-clockwise or -90°)

∴ Its image is (y , -x)

- If point (x , y) rotated about the origin by angle 180°

∴ Its image is (-x , -y)

* There is no difference between rotating 180° clockwise (-180°) or

anti-clockwise (180°) around the origin

* Lets solve the problem

∵ One vertex of a triangle is located at (0, 5) on a coordinate grid

∵ The image of the point after the transformation is (5 , 0)

- The coordinates are switched with each other

∴ There is no rotation with 180° or -180° because in the rotation with

180° and -180° around the origin we change only the signs of the

coordinates without switch them

∴ There is a rotation with 90° are 270° or -90°

- The zero has no sign

- When we rotate the point (0 , 5) by -90° or 270° around the origin

we will change the sign of x-coordinate and switch the two

coordinates

∴ The image of the point is (y , -x)

∵ x = 0 and y = 5

- There is no sign for zero, so we switch the coordinates only

∴ The vertex is located at (5, 0)

∴ The Transformations are R(O , -90°) & R(O , 270)

3 0

3 years ago

Read 2 more answers

Can someone please help me?

Vladimir79 [104]

Answer:

Option D is the correct option.

Step-by-step explanation:

y = - 2x - 3 → Equation ( i )

y = 3x + 2 → Equation ( ii )

Using elimination method

y + 2x = - 3

y - 3x = 2

---------------------

5x = - 5

Divide both sides of the equation by 5

$\frac{5x}{5} = \frac{ - 5}{5}$

Calculate

$x = - 1$

Again, Putting the value of x in equation ( ii ) in order t get the value of y

$y = 3x + 2$

plug the value of x

$= 3 \times ( - 1) + 2$

Any expression multiplied by ( - 1 ) equals it's opposite

$= - 3 + 2$

Calculate

$= - 1$

Therefore, The possible solution of the system is the ordered pair ( x , y )

$(x \:, y \: ) = ( - 1 \:, - 1)$

-----------------------------------------------------------------------

Check if the given ordered pair is the solution of the system of equation

$- 1 = - 2 \times ( - 1) - 3$

$- 1 = 3 \times ( - 1) + 2$

Simplify the equation

$- 1 = - 1$

Since all the equalities are true, the ordered pair is the solution of the system.

Hope this helps..

Best regards!!

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3 years ago

Which is an equation, in point-slope form, of a line that passes through the points (2,9) and (4,5)?

Elodia [21]

Only two of them are the correct answers to this question.

5 0

3 years ago