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r-ruslan [8.4K]
2 years ago
5

8x^4+24x^3-27x-81 what is the polynomial factor?

Mathematics
1 answer:
kvasek [131]2 years ago
3 0

8x^4+24x^3-27x-81=8x^3(x+3)-27(x+3)\\\\=(x+3)(8x^3-27)=(x+3)(2^3x^3-3^3)=(x+3)[(2x)^3-3^3]\\\\\text{use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\=(x+3)(2x-3)[(2x)^2+(2x)(3)+3^2]\\\\=\boxed{(x+3)(2x-3)(4x^2+6x+9)}

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Simplify 6a+5w-2a+w .....,,.,,.,..,..,,
joja [24]
6a + 5w - 2a + w

Step 1:

Simplify A’s

6a - 2a = 4a

Step 2:

Simplify Ws

5w + w = 6w


Step 3:

Put together

4a + 6w
3 0
3 years ago
A jogger ran 3 miles due east of his house. then he ran 5 miles at a heading of 30o east of north (or 30o ne). how far is he fro
Natasha_Volkova [10]

Magnitude of the net displacement: 7.0 miles

Step-by-step explanation:

In order to find the total displacement of the man, we have to resolve each displacement along the x- and y- direction.

Taking x as positive x direction and y as positive north direction:

- The first motion is 3 miles due east, so

A_x = 3 mi\\A_y = 0

- The second motion is 5 miles at 30^{\circ} east of north, so:

B_x = 5 sin 30^{\circ}=2.5 mi\\B_y = 5 cos 30^{\circ}=4.3 mi

So the components of the net displacement are

R_x = A_x + B_x = 3 + 2.5 = 5.5 mi\\R_y = A_y+B_y = 0 + 4.3 = 4.3 mi

And so the magnitude of the net displacement is

d=\sqrt{R_x^2+R_y^2}=\sqrt{5.5^2+4.3^2}=7.0 mi

So, he is 7.0 miles far from the house.

Learn more about distance and displacement:

brainly.com/question/3969582

#LearnwithBrainly

4 0
3 years ago
PLEASE HELP ASAP!!!!!
mojhsa [17]

Answer:

C. 336 ways

Step-by-step explanation:

Plz mark as brainliest! :D

8 0
3 years ago
I need help with #5
chubhunter [2.5K]
Wouldn't this be in literature?

4 0
3 years ago
9. The ticket at right has a perimeter of 42 cm.
Liula [17]

Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

Perimeter =2\times 11 + 4 \times L

This gives

2\times11 + 4 \times L = 42

22 + 4 \times L = 42

Collect like terms

4 \times L = 42-22

4 \times L = 20

Divide both sides by 4

L =5cm

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

Gold = 4 \times L

Gold = 4 \times 5cm

Gold = 20cm

(c) The number of gold ink bottles.

n = 200 --- number of tickets

The length of all gold line in the 200 tickets is:

Length = 200 \times Gold

Length = 200 \times 20cm

Length = 4000 cm

Length = 4000 \times 0.01m ---- convert to meters

Length = 40m

Given that:

Bottle = 20m --- 1 bottle for 20 m

The number of bottles (n) is:

n = \frac{Length}{Bottles}

n = \frac{40m}{20m}

n = 2

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

brainly.com/question/6465134

4 0
2 years ago
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