Answer: See explanation
Step-by-step explanation:
We are informed that Stephen rewrites 3r - 18 = 27 as 3(r - 6) = 3(9). This is quite thoughtful of Stephen and it's an easier way to solve the question.
In this case, 3 is a common factor to 3r, 18 and 27. Therefore, we will then have: 3(r - 6) = 3(9).
Since 3 is a common base to both, we are more concerned with the values inside the brackets. This will be:
r-6 = 9
r = 9 + 6
r = 15
Check: 3r - 18
3(15) - 18 = 45 - 18 = 27
5x+2=4x+55x-4x=5-2x=3 ans.
Proof:5*3+2=4*3+515+2=12+517=17
Answer:
times
Step-by-step explanation:
Given
Let
Park Crest Middle School
Total
So, we have:


Required
Determine the number of times T is greater than P
This is calculated by dividing T by P.
i.e.

So, we have:


Approximate

As a power of 10, we have:

The possible functions for f and g are f(x) =
and g(x) = 
<h3>What is an exponential function?</h3>
An exponential function is a mathematical function of the following form: f ( x ) =
where x is a variable, and p is a constant called the base of the function. The most commonly encountered exponential function base is the transcendental number e.
Analysis:
If for every value of x being positive and y is a positive whole number and for every x being negative y is a positive fraction, then that exponential function has a whole number base, Other wise it would have a fractional base. From the above explanation, f has (1,3) (positive x and whole number y) and (-1, 1/3) (negative x and positive fraction y). so therefore f has a whole number base and g has a fraction base.
Therefore f(x) =
and g(x) = 
Learn more about exponential functions: brainly.com/question/2436547
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10/6 feet per second
10/6 * 45 = 75 feet