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kifflom [539]
3 years ago
14

The population of a species of rabbit triples every year. This can be modeled by f(x) = 4(3)x and f(5) = 972. What does the 972

represent?
The starting population of the rabbits
The population of the rabbits after five years
The rate the population increases
The number of years that have passed
Mathematics
2 answers:
Alona [7]3 years ago
5 0
972 represent the total population of the rabbits after five yours. 
Answer: B
Andrei [34K]3 years ago
4 0

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

The population of a species of rabbit triples every year is expressed as

f(x)=4(3)^x

Here, Initial population = 4

Rate of growth = 3

Number of years = x

So, we have f(5)=972=4(3)^5

So, it means 972 is the population of the rabbits after 5 years.

Hence, Second option is correct.

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(x 4 - 3x 3 + 3x 2 - 3x + 6) (x - 2)
Vlada [557]

Answer:

x^5 - 5 x^4 + 9 x^3 - 9 x^2 + 12 x - 12

Step-by-step explanation:

(x ^4 - 3x^3 + 3x^2 - 3x + 6) (x - 2)

Distribute the x to all the terms in the first parentheses

(x^ 4  *x - 3x^ 3  *x + 3x^ 2   *x - 3x   *x + 6*x)

Then simplify

(x^5 - 3x^4 + 3x^ 3 - 3x2 + 6x)

Distribute the -2 to all the terms in the first parentheses

(x^ 4  *(-2) - 3x^ 3  *(-2) + 3x^ 2   *(-2) - 3x   *(-2) + 6*(-2))

Then simplify

(-2x^4 +6x^3 -6x^ 2 +6x -12)

Add the terms together

(x^5 - 3x^4 + 3x^ 3 - 3x2 + 6x) +(-2x^4 +6x^3 -6x^ 2 +6x -12)

x^5 - 5 x^4 + 9 x^3 - 9 x^2 + 12 x - 12

4 0
4 years ago
Six less than the product of 8 and a number equals 2
Viktor [21]

Answer:

unknown number = 1

Step-by-step explanation:

Let the unknown number be x.

(8×x)-6=2

   8x-6=2

       8x=2+6

           =8

         x=8÷8

           =1

Hence, unknown number = 1.

8 0
3 years ago
A boy is n years old. His sister is four times as old. The sister's age is
Irina18 [472]

The sister is 4<em>n</em><em> </em>yrs old.

That is because 4 times <em>n</em><em> </em>is 4<em>n</em><em>.</em>

5 0
3 years ago
2.
melamori03 [73]

Answer:

A. linear

Step-by-step explanation:

6 0
2 years ago
What number is 10 more than 89
kotegsom [21]
99 would be to more than 89 because 89+10= 99<span />
8 0
4 years ago
Read 2 more answers
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