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3 years ago

Factor this problem ? 125 +27y^3

Mathematics

1 answer:

koban [17]3 years ago

6 0

Answer:

(5 + 3y)(25 - 15y + 9y²)

Step-by-step explanation:

This is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²), thus

125 + 27y³

= 5³ + (3y)³ with a = 5 and b = 3y

= (5 + 3y)(5² - 5(3y) + (3y)² )

= (5 + 3y)(25 - 15y + 9y²)

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A vegetable garden and a surrounding as a shaped like a square that together a 11 ft wide. The path is 2 feet wide. If one bag o

Alexxandr [17]

Answer:

$\displaystyle 4$

Step-by-step explanation:

we are given that A vegetable garden and a surrounding as a shaped like a square that together a 11 ft wide. The path is 2 feet wide.since together the width of Vegetable garden and path is 11 ft, the width of the vegetables garden will be the difference between the total width and the width of path Thus,

$\displaystyle \rm W _{ garden} = 11 - 2$

simplify substraction:

$\displaystyle \rm W _{ garden} = 9$

recall that, every single side of a square is equal to each other therefore the the area of the garden will be

$\displaystyle {9}^{2}$

simplify square:

$\displaystyle 81$

together the garden and path makes a square of every side length 11 ft saying that the area will be:

$\displaystyle {11}^{2}$

simplify square:

$\displaystyle 121$

the area of path will be the difference between the total area and the garden area therefore,

$\displaystyle 121 - 81$

simplify addition:

$\displaystyle 40$

to figure out how many bags are needed to cover the path. we just need to divide the area of the path by the area of a bag of gravel and that yields:

$\displaystyle \frac{40}{10}$

simplify division:

$\displaystyle \boxed{\rm4}$

hence,

<u>4</u> bags are needed to cover the path.

7 0

3 years ago

Solve for x help thx

valentinak56 [21]

X = 8
because 8 x 2 = 16
16 - 9 = 5
5 x 3 = 15

5 0

3 years ago

Read 2 more answers

What is the 4(4x)+(x) equal!?

e-lub [12.9K]

4(4x)+(x)

= 16x+x

Combine like terms

16x+x

(16x+x)

= 17x

x=17

I hope that's help ! Good night .

5 0

3 years ago

Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enoug

zepelin [54]

Answer:

W > 0.5L

Perimeter:

2L + 2W < 180

2L + 2(0.5L) < 180

2L + 1L < 180

3L < 180

÷3 ÷3

L < 60

Length should be less than or equal to 60 inches while width should be greater than or equal to 30 inches.

4 0

3 years ago

Read 2 more answers

Anyone know how to solve this??

Tom [10]

$Given : \frac{(x^\frac{2}{5})^9\;.\;(x^\frac{-4}{15})}{x^\frac{1}{3}}$

$\implies {(x^\frac{18}{5})\;.\; (x^\frac{-4}{15})}\;.\;(x^\frac{-1}{3})$

$\implies x^(^\frac{18}{5} ^-^\frac{4}{15}^-^\frac{1}{3}^)$

$\implies x^(^(^\frac{54 - 4}{15}^)^-^\frac{1}{3}^) = x^(^(^\frac{50}{15}^)^-^\frac{1}{3}^) = x^(^(^\frac{10}{3}^)^-^\frac{1}{3}^) = x^(^\frac{9}{3}^) = x^3$

$\implies x^k = x^3$

$\implies k = 3$

7 0

3 years ago