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SVEN [57.7K]
3 years ago
11

How to factor 8x^3-216

Mathematics
2 answers:
Alex777 [14]3 years ago
8 0
8x^3-216\to\boxed{8(x^3-27)}
lara [203]3 years ago
3 0
8x^3-216=\left(2x\right)^3-6^3=(*)\\--------------------------\\use:a^3-b^3=(a-b)(a^2+ab+b^2)\\--------------------------\\\\(*)=(2x-6)[(2x)^2+2x\times6+6^2]=\boxed{(2x-6)(4x^2+12x+36)}\\\\========================================

Other:\\\\8x^3-216=8(x^3-27)=8(x^3-3^3)=8(x-3)(x^2-3x+3^2)\\\\=\boxed{8(x-3)(x^2-3x+9)}
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12
Tamiku [17]

Answer:

30%. Based on the given conditions, formulate: 12/40 Cross out the common factor: 3/10 Multiply a number.

Step-by-step explanation:

5 0
2 years ago
PLEASE HELP ME AS SOON AS POSSIBLE
tatyana61 [14]

a) The linear function that models the population in t years after 2004 is: P(t) = -200t + 29600.

b) Using the function, the estimate for the population in 2020 is of 26,400.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The initial population in 2004, of 29600, is the y-intercept. In 12 years, the population decayed 2400, hence the slope is:

m = -2400/12 = -200.

Hence the equation is:

P(t) = -200t + 29600.

2020 is 16 years after 2004, hence the estimate is:

P(16) = -200(16) + 29600 = 26,400.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

3 0
1 year ago
On a scale drawing, a bookshelf is 8 inches tall. The scale factor is 1/8. What is the height of the bookshelf?
lukranit [14]
8 inches = 1/8 of the real height of the book shelf
Multiply 8 by 8 because the question shows 1/8 of the book shelf
8x8=64
The book shelf is 64 inches.
Or 5 feet and 4 inches.
6 0
3 years ago
Jason is putting in a new circular shaped fire pit in his backyard.The diameter of the fire pit is 8 feet. What is the area of t
lesya [120]
Pi * r^2 = 16pi
Thank you hope this helps
3 0
3 years ago
9 - 4(2x - 1) = 45 please help​
ddd [48]

Answer:

x=-4

Step-by-step explanation:

9-4(2x-1)=45

First, we expand the equation using the distributive rule:

x(y-z)=xy-xz

Hence, 9-4*2x-4*-1=45

Simplify: 9-8x+4=45

Add like terms:

13-8x=45

Subtract 13 from both sides: -8x=32

Divide both sides by -8:

x=-4

5 0
3 years ago
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