The equation below shows the total volume (V),in cubic units, of 2 identical boxes with each side equal to s units:
1 answer:
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9514 1404 393
Answer:
A (first choice), F (last choice)
Step-by-step explanation:
Formulas for arithmetic sequences are generally written in one of two forms. The form you're given here is called an "explicit" formula. For some value of n, you can find the n-th term by evaluating the formula.
The form used in the first three answer choices is called a "recursive" formula. The value of the n-th term depends not on 'n', but on the previous term.
These two forms can be converted to each other like this:
explicit formula ⇔ recursive formula
The values of the first term (A₁), the common difference (d), and the term index number (n) are the same in both forms. Once you see this relationship, you should be able to find ...
- the first term
- the common difference
- the other formula for the same sequence
__
Here, the given function tells you ...
- A₁ = 5
- d = +4
This means the formulas that describe the same sequence are ...
_____
<em>Additional comment</em>
The commutative property of multiplication tells you that (n-1)(4) = 4(n-1). The order of the operands makes no difference. The given function has the first of these forms, the offered answer choices have the second of these forms.
Hey!
In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.
<em>Original Equation :</em>
<em>New Equation {Added Multiply Both Sides by V} :</em>
<em>Solution {New Equation Solved} :</em>
Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.
<em>Old Equation :</em>
<em>New Equation {Switched} :</em>
Now we'll divide both sides by v to get v on its own.
<em>Old Equation :</em>
<em>New Equation {Added Divide Both Sides by V} :</em>
<em>Solution {New Equation Solved} :</em>
<em>So, this means that in the equation
,</em> .
Hope this helps!
- Lindsey Frazier ♥
In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.
<em>Original Equation :</em>
<em>New Equation {Added Multiply Both Sides by V} :</em>
<em>Solution {New Equation Solved} :</em>
Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.
<em>Old Equation :</em>
<em>New Equation {Switched} :</em>
Now we'll divide both sides by v to get v on its own.
<em>Old Equation :</em>
<em>New Equation {Added Divide Both Sides by V} :</em>
<em>Solution {New Equation Solved} :</em>
<em>So, this means that in the equation
Hope this helps!
- Lindsey Frazier ♥