Answer:
Equations:
--- Cindy
--- Ruben
Solution to equation:
Time they have the same amount: 14 minutes
Number of cards they have at that time: 140 flashcards
Step-by-step explanation:
Solving (a): Variables and what they represent
The variables to use are x and y
Where x represent the minutes and y represents the number of flashcards in x minutes
Solving (b): System of linear equation
Cindy:

per minute
Total number of flashcards (y) in x minutes is:



Ruben:
per minute
Total number of flashcards (y) in x minutes is:



Solution to Equations:
Time they have the same amount.
To do this, we
expressions
i.e.

Collect Like Terms


Number of cards they have at that time.
Here, we simply substitute 14 for x in any of the equations.



or




Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a2−b2=(a+b)(a−b) where a=x and b=16.(+)x16)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
So we have the piecewise function:

And we want to find f(8).
Since our input value is 8, choose the equation that fits our input.
The first equation demand x to be less than 3. 8 is not less than 3, so we won't use that.
The second equation demand x to e greater than or equal to 3 and less than 8. 8 is <em>not</em> less than 8. So, we won't use that.
The third equation demands x to be greater than or equal to 8. 8 is greater than or equal to 8, so we'll use the third equation.
So:


There're nothing more to do, we're done :)
The answer is A.
Edit: Improved Format
Answer:
no
Step-by-step explanation:
2:4 is 1:2, 6:16 is not one half
Answer:
The investment earns either 180 or 720. I'm not exactly sure.