All categories

3 years ago

Factor x^3y^6 + 27z^42

Mathematics

2 answers:

mestny [16]3 years ago

7 0

(xy^2 + 3z^14)(x^2y^4 - 3xy^2z^14 + 9z^28)

Vladimir79 [104]3 years ago

6 0

We can rewrite the expression like this: $x^3y^6+27z^4\cdot \:2$
Multiply the numbers...
$27\cdot \:2=54$
We are left with...
$=x^3y^6+54z^4$

Done!
Have a nice day! :)

You might be interested in

Keith’s Florists has 15 delivery trucks, used mainly to deliver flowers and flower arrangements

vlabodo [156]

Answer:

= 0.419

Step-by-step explanation:

in pic

(Hope this helps can I please have brainlist (crown)☺️)

8 0

2 years ago

1. how many 1/8 are in 1 2.how many 1/8 are in 3?

maksim [4K]

Well there are 8 in 1/8 so you multiply that but three and you get 24
The answer is 24

3 0

3 years ago

Which statements about the hyperbola are true? Check all that apply. A. There is a focus at (0,−10). B. There is a focus at (0,

hichkok12 [17]

Answer:

A. There is a focus at (0,−10).

Step-by-step explanation:

Assume the hyperbola is like the one below.

The hyperbola is vertical and centred on the y-axis, so its general equation is

$\dfrac{y^{2}}{a^{2}} - \dfrac{x^{2}}{b^{2}} = 1$

The vertices of your parabola are (0,±8) so a = 8.

The covertices are (±6,0), so b = 6.

Calculate c

$\begin{array}{rcl}a^{2} + b^{2} & = & c^{2}\\8^{2} + 6^{2} & = & c^{2}\\64 + 36 & = & c^{2}\\100 & = & c^{2}\\c & = & \mathbf{10}\\\end{array}$

A. Foci

The foci are at (0, ±c) = (0, ±10)

TRUE. There is a focus at (0,-10).

B. Foci

The foci are at (0,±10).

False. There is no focus at (0,12)

C. and D. Asymptotes

The equations for the asymptotes are

$y = \pm\dfrac{a}{b}x = \pm\dfrac{8}{6}x = \pm\dfrac{4}{3}x$

So, y = ±x are not asymptotes.

False.

E. and F. Directrices

The equations of the directrices are

y = ±a²/c = ±64/10 = ±6.4

y = 6.4 is a directrix.

E is false. x = cannot be a directrix

F is uncertain. Your equation for the directrix is incomplete.

3 0

3 years ago

Please help me

Inga [223]

Answer:

Step-by-step explanation:

All real numbers are solution

Step 1: Simplify both sides of the inequality.

8x−7<8x−3

Step 2: Subtract 8x from both sides.

8x−7−8x<8x−3−8x

−7<−3

Step 3: Add 7 to both sides.

−7+7<−3+7

0<4

hope this help:)

5 0

2 years ago

1 ) $45, the markup is 20%. <br> 2) 1.25 the markup is 80%<br> 3) 150. the markdown is 40%

baherus [9]

Hi there! I can help you with these! For these types of questions, all you have to do is that if there is a markup, multiply by one hundred something to get the new price, because you're including the original price and the markup. For example, if there is a 75% markup on something, you multiply by 175% (1.75). Or, if there is a markdown, basically multiply by the remaining percentage. For example, if the markdown is 35%, you multiply the original price by 65% (0.65), because that is the amount of the price that it's on sale for. With that being said, if you do this correctly, here are the answers:

1. $54
2. $2.25
3. $90

Hopefully if you're talking about the markup or markdown from these prices, those are your answers.

8 0

3 years ago