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garik1379 [7]
4 years ago
15

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

Mathematics
2 answers:
mestny [16]4 years ago
7 0
(xy^2 + 3z^14)(x^2y^4 - 3xy^2z^14 + 9z^28)
Vladimir79 [104]4 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! :)
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What is the slope of this graph?
larisa [96]
Since the slope is falling, instead of rising, it would be negative. 

Now, on the line, I plotted (0, 2) and (-2, 10).

You would now plug this into the rise/run formula. 
The formula is \frac{y2 - y1}{x2 - x1}

The equation would become, 
\frac{10 - 2}{-2 - 0} = \frac{8}{-2} = -4

I believe the answer would be -4. 

I hope this helps!

6 0
3 years ago
Please give a good answer :)
Alex

Answer:

P(4≤x≤7) = 2/3

Step-by-step explanation:

We'll begin by obtaining the sample space (S) i.e possible outcome of rolling both dice at the same time. This is illustrated below:

1,1 1,2 1,3 1,4 1,5 1,6

2,1 2,2 2,3 2,4 2,5 2,6

3,1 3,2 3,3 3,4 3,5 3,6

4,1 4,2 4,3 4,4 4,5 4,6

5,1 5,2 5,3 5,4 5,5 5,6

6,1 6,2 6,3 6,4 6,5 6,6

Adding the outcome together, the sample space (S) becomes:

2 3 4 5 6 7

3 4 5 6 7 8

4 5 6 7 8 9

5 6 7 8 9 10

6 7 8 9 10 11

7 8 9 10 11 12

Next, we shall obtain the event of 4≤x≤7. This is illustrated below:

4 5 6 7

4 5 6 7

4 5 6 7

4 5 6 7

4 5 6 7

4 5 6 7

Finally, we shall determine P(4≤x≤7). This can be obtained as follow:

Element in the sample space, n(S) = 36

Element in 4≤x≤7, n(4≤x≤7) = 24

Probability of 4≤x≤7, P(4≤x≤7) = ?

P(4≤x≤7) = n(4≤x≤7) / nS

P(4≤x≤7) = 24/36

P(4≤x≤7) = 2/3

4 0
3 years ago
Find a common factor for 3y^3+2y^2 and 6y^4+4y^3​
Anit [1.1K]

Answer:

3y + 2

Step-by-step explanation:

We want to find a common factor for

3 {y}^{3}  + 2 {y}^{2}

and

6 {y}^{4}  + 4 {y}^{3}

We factor each of them to get;

3 {y}^{3}  + 2 {y}^{2}  =  {y}^{2} (3y + 2)

and

6 {y}^{4}  + 4 {y}^{3}  = 2 {y}^{3} (3y + 2)

We can observe now that;

The factor common to both expression is

3y + 2

7 0
3 years ago
What is the answer and how to you solve it as easy as possible​
Gnom [1K]

Answer:

A = 504inch

Step-by-step explanation:

Formula = A = 2(wl + hl + hw)

or A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.

2wl = 6inch × 12inch = 72inch × 2 = 144inch

2lh = 12inch × 10inch = 120inch × 2 = 240inch

2hw = 10inch × 6inch = 60inch × 2 = 120inch

Then add all

144inch + 240inch + 120inch = 504inch

A = 504inch

7 0
3 years ago
How to solve n-5*2/3=3/4
Scorpion4ik [409]

n-5\cdot\dfrac{2}{3}=\dfrac{3}{4}\\\\n-\dfrac{10}{3}=\dfrac{3}{4}\ \ \ \ |\cdot12\\\\12n-12\cdot\dfrac{10}{3}=12\cdot\dfrac{3}{4}\\\\12n-4\cdot10=3\cdot3\\\\12n-40=9\ \ \ \ |+40\\\\12n=49\ \ \ \ \ |:12\\\\n=\dfrac{49}{12}

5 0
4 years ago
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