g(x) = 5^x is your answer
Plug in increasing numbers for x to get the output.
For example: when x = 1
f(1) = 5(1) = 5
g(1) = 5^(1) = 5
when x = 2
f(2)= 5(2) = 10
g(2) = 5^(2) = 25
when x = 3
f(3) = 5(3) = 15
g(3) = 5^(3) = 125
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From the example above, we see that g(x) = 5^x is your answer
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Answer: 
Step-by-step explanation:
1. You must apply the Distributive property. You need to remember the product property of exponents: If you multiply powers with the same base, you must add the exponents. Them you have:
2. Now, you must add the like terms. Then, you obtain the following result:
Hmm... I would say the equation would look like 3+5x=72/4.
3+5x=72/4
3+5x=18
5x=18-3
5x=15
x=15/5
x=3
The number is 3
Let's break it down into something more simple:
What's 10 times 10? 100
What's 10 times 10 times 10? 1000
Do you see a pattern? (Cool trick - The number of 10s match the number of 0s in the answer)
We have seven 0s in our answer, so let's check:
10 x 10 x 10 x 10 x 10 x 10 x 10 = 10,000,000
An exponent tells us that we're multiplying the big number by itself however many times the little number in the corner tells us.
So if we multiply 10 by itself 7 times (what we did above), then our answer will be 10 to the power of 7, or 
. This is equal to 10,000,000.
Here, we are required to find the equation, in terms of w, that could be used to find the dimensions of the storage unit in feet.
The polynomial is;. 3w³ + 22w + 24w = 5440ft³.
From the question;
- <em>Let the width = w</em>
- <em>length,</em><em> </em><em>l</em><em> = 3w + 4</em>
- <em>height,</em><em> </em><em>h</em><em> = w + 6</em>
<em>The </em><em>volume </em><em>of </em><em>a </em><em>rectangular</em><em> </em><em>prism </em><em>is </em><em>given </em><em>by </em><em>the </em><em>product </em><em>of </em><em>its </em><em>length,</em><em> </em><em>width </em><em>and </em><em>height.</em><em> </em><em>Thus</em><em>;</em>
Volume = l × w × h
Therefore, Volume, V = (3w +4) × w × (w +6)
To obtain the required polynomial, we expand the expression for Volume above;
<em>V = (3w² + 4w) × (w + 6)</em>
<em>V = (3w² + 4w) × (w + 6)V = 3w³ + 22w² + 24w.</em>
However, the volume of the rectangular prism has been given to be 5440 cubic feet.
Therefore, the polynomial is;
3w³ + 22w + 24w = 5440ft³.
Read more:
brainly.com/question/9740998
