Adolphin swims 665,280 feet in 3 hours find the dolphin's rate in feet per hour.

So the rate given is

In this problem, you are trying to find the unit rate. The unit rate is, how many feet does the dolphin swim in 1 hour? This is a unit rate because the amount of hours is 1 hour, and unit rates always have a denominator of 1.

So, to find the unit rate, we must simplify

How do we simplify it? The denominator of this problem is already 3. How do we get from 3 to 1? We divide 3 by itself (3 ÷ 3). That equals 1.

 [we divided both by 3]

Rule: Whatever you do to the numerator, you must do to the denominator.

I hope this helps!

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

step-by-step explanation: