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.
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Answer:
more the letter x is often used in algebra to mean a value that is not yet known is is calld a variable or sometimes an unknown. in x+2=7,x is a variable but we can work out its value if we try
Answer:
If a number is even is the conditional statement.
Step-by-step explanation:
The phrase that starts with "if" is the hypothesis for conditional statement. The phrase that starts with "then" is conclusion for the statement.
Here, the statement is "If a number is even then it is divisible by 2".
Hypothesis = If a number is even
Conclusion = It is divisible by 2
So what you need to start with is taking the x from both sides as adding 12 to them. Then, you move the 27 over 4 decimals.
