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horrorfan [7]
3 years ago
5

What is the factored form of 8x24-27y6

Mathematics
2 answers:
rodikova [14]3 years ago
8 0

Answer:

(2x8 - 3y2) • (4x16 + 6x8y2 + 9y4)

Step-by-step explanation:

Mariulka [41]3 years ago
7 0

For this case we must factor the following expression:

8x^{24} -27y ^ 6

So:

We rewrite 8x^{24}\ as\ (2x ^ 8) ^ 3

We rewrite27y ^ 6\ as\ (3y ^ 2) ^ 3

(2x ^ 8) ^ 3- (3y ^ 2) ^ 3

Since both terms are perfect cubes, factor using the cube difference formula:

a ^ 3-b ^ 3 = (a-b) (a ^ 2 + ab + b ^ 2)

Where:

a = 2x ^ 8\\b = 3y ^ 2

Rewriting:

(2x ^ 8-3y ^ 2) ((2x ^ 8) ^ 2 + (2x ^ 8) (3y ^ 2) + (3y ^ 2) ^ 2) =\\(2x ^ 8-3y ^ 2) (4x ^{16} + 6x ^ 8y ^ 2 + 9y ^ 4)

ANswer:

Option C

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make a conjecture, is there a value of N for which there could be a triangle with sides of length N, 2N, and 3N?
Assoli18 [71]

Answer: Conjecture: There is no triangle with side lengths N, 2N, and 3N (where N is a positive real number)

Proof:

We prove this by contradiction: Suppose there was an N for which we can construct a triangle with side lengths N, 2N, and 3N. We then apply the triangle inequalities tests. It must hold that:

N + 2N > 3N

3N > 3N

3 > 3

which is False, for any value of N. This means that the original choice of N is not possible. Since the inequality is False for any value of N, there cannot be any triangle with the given side lengths, thus proving our conjecture.

6 0
3 years ago
(100)• (-0.09) 7th Grade math
matrenka [14]

Answer:

-9

Step-by-step explanation:

100 x -.09 = -9 (move the decimal over two places to the right because you are multiplying by 100)

8 0
3 years ago
Help with this task it's confusing can u explain how you got the answer
Andru [333]
Oh my goodness !  You were doing such an absolutely beautiful job,
as far as you went, but then you ran into some rough road and quit.

You've got the correct expressions for the ages of the three people:

-- Will . . . w
-- Ben . . . w+3
-- Jan . . . 2(w+3)
You slipped up when you expanded Jan's age:  2(w+3) = <u>2w + 6</u> ,
and it was all down hill from there.

Let's do it again, together:

-- Will . . . w
-- Ben . . . w + 3
-- Jan . . . 2w + 6

Total:  (w + w + 2w) + (3 + 6) = 4w + 9

So the equation is:    <em><u>4w + 9 = 41</u></em>
Now you're supposed to solve it.

Subtract 9 from each side:   4w  =  32

Divide each side by 4:        <u>w = 8</u>

-- Will = w . . . . . 8 y.o.
-- Ben = w+3 . . . 11 y.o.
-- Jan = 2(w+3) . . 22 y.o.

When will Jan be twice as old as Will ?
That'll happen in 'x' years.
At that time, Will will be (8+x) and Jan will be (22+x),
and her age will be double Will's age.

22 + x  =  2(8 + x)

22 + x  =  16 + 2x

Subtract 'x' from each side:    22  =  16 + x

Subtract  16  from each side:  <em>  6 = x</em>

<u>Check:</u>

In 6 years, Jan will be (22+6) = 28,
and Will will be (8+6) = 14 .

28 = twice as old as 14.      yay!

Can I make a little suggestion ?
I'm going to make it anyway:

Your problem was neatness.
You were doing great work in that big open space on the sheet, but it
started to get ragged.  When you tried to look back to see if you made
a mistake, you couldn't find it in the mess.
This is not an easy problem, but you definitely know your stuff. 
I think if you keep it a little neater, you're going to sparkle !
7 0
3 years ago
What is 0.782 rounded to the tenths
pochemuha
It would be 0.780 because the 2 is not higher than a 5.



remember this saying... 5 or more add 1 more 4 or less just ignore
6 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASE PLEASE PLEASE PLEASE-
Zina [86]

Answer: The area of Figure ABCDE is 79.5 square units.

Step-by-step explanation:

<em>Triangle ABC is the top triangle of Figure ABCDE.</em>

<u>Triangle ACD is the triangle on the right of Figure ABCDE.</u>

Triangle AED is the triangle on the bottom left of Figure ABCDE.

So, we need to add <em>23.85</em>, <u>29.4</u>, and 26.25 to get the area of Figure ABCDE!

23.85 + 29.4 + 26.25 = 79.5

4 0
3 years ago
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