Anatural number is a rational number.

always
sometimes
never

always

Explanation:

1- Rational numbers:

Rational number is any number that can be written in the form of a fraction where both a and b are integers and b ≠ 0.

2- Natural numbers:

Natural number is a counting number (1,2,3,4,.....etc)

Now, we know that any number if divided by 1, the result would still be the same number ()

This means that if any natural number is divided by 1, the result would still be the same natural number.

We can now conclude that natural numbers can be written in the form of fraction with denominator equal to 1.

This means that a natural number can always be a rational number.

Hope this helps :)

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.