Answers:
Step-by-step explanation:
<em>We must simplify each option to see if they are equivalent to
.</em>
<em>Lets try A.</em>
can be simplified to
by dividing both the numerator and denominator by 3.
÷ 
A is correct!
<em>Lets try B</em>
simplifies to
. However, because this answer is not negative, it is not equivalent.
<em>Lets try C</em>
There is a negative in the numerator, making this fraction negative. So yes,
.
- Bonus Info: If there was a negative in both the numerator and denominator, the two negatives would cancel eachother out, making the fraction positive
C is correct!
<em>Lastly, Lets try D</em>
There is a negative in the denominator, so this fraction is negative.
can be simplified by dividing by 3 to
.
÷3 = 
D is correct!
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Answer:
Recursive
Explicit
Step-by-step explanation:
An arithmetic sequence an be represented by a recursive rule which gives the first term and defines the nth term by relating it to the previous term, or by an explicit rule which defines the nth term as a function of n.
The recursive rule is that we have the initial term. To find the subsequent term, we will take that <em>previous term</em> and add it to our common difference.
Hence, we are <em>relating the previous terms</em> to define the nth term.
For the explicit rule, we simply have a function of n. To find the nth term, we can substitute our desired term n for n and evaluate.
Answer:
m + (m + 15) + (m + 2)
Step-by-step explanation:
Even thought we don't know the value of m, we can use expressions to represent it.
Hope this helps.
Answer:
x = infinite amount of solutions
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define Equation</u>
2(x + 4) = 4x + 3 - 2x + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 2: 2x + 8 = 4x + 3 - 2x + 5
- Combine like terms: 2x + 8 = 2x + 8
- Subtract 8 on both sides: 2x = 2x
- Divide 2 on both sides: x = x
Here we see that <em>x</em> does indeed equal <em>x</em>.
∴ x = infinite amount of solutions