Factor n^3 - n^2 + 3n - 3.

Mathematics

1 answer:

lozanna [386]3 years ago

5 0

N^2(n - 1) + 3(n - 1)

(n^2 + 3)(n - 1)

the answer is c

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make a box-and-whisker plot for the data. numbers of colors in a country's flag :3,2,2,4,4,3,6,3,5,3,4,1

Irina-Kira [14]

Answer: see attachment

<u>Step-by-step explanation:</u>

Put the numbers in order from smallest to biggest:

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

↓ ∨ ↓

Q1 Median Q3

Q1 median = (2+3)/2 = 2.5 <---- left side of box plot

Median = (3+3)/2 = 3 <---- Vertical Line of box plot

Q3 median = (4+4)/2 = 4 <---- right side of box plot

3 0

4 years ago

The population of a rabbit colony triples each month.

djverab [1.8K]

Answer:

3645 rabbits after 6 months.

Step-by-step explanation:

The population of a rabbit colony triples each month.

This means that the population of the colony after t months is given by:

$P(t) = P(0)(3)^t$

In which P(0) is the initial population.

The population started with 5 rabbits.

This means that $P(0) = 5$

$P(t) = 5(3)^t$

How many rabbits are there after 6 months?

This is P(6). So

$P(6) = 5(3)^6 = 3645$

3645 rabbits after 6 months.

3 0

3 years ago

Represent the following expressions as a power of the number a where a ‡0.

Yuri [45]

Properties we are going to use :
1. (a^m)^n = a^mn
2. a^m : a^n = a^(m-n)

((a^-2)^-1)^-1 = (a^(-2 x -1))^-1 = (a^2)^-1 = a^-2

(a : a^-1)^2 = (a^1 - (-1))^2 = (a^2)^2 = a^4

Therefore, the expression is simplified down to a^-2 : a^4

a^-2 : a^4 = a^(-2 - 4) = a^-6.