Answer:
linear function growth rate: 8.5
Step-by-step explanation:
The growth rate of the linear function is the coefficient of t: 8.5. (It is a constant.)
__
The growth rate of g(t) is its derivative: g'(t) = (1/8)(160e^(t/8)) = 20e^(t/8). Then the relative growth rate is ...
g'(t)/g(t) = (20e^(t/8))/(160e^(t/8)) = 20/160 = 1/8
It is a constant.
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




9a-5x
step by step explanation:
you can only add and subtract numbers that have the same variables.
12a and 3a are related because there variable is both a.
when u subtract 12a-3a you get the answer of 9a using subtraction.
7x and -2x are the second pair of related terms because they also have the same variable (x)
7x-2x is 5x using subtraction.
put the expression together:
9a-5x
hope this helps!
give me brainliest if it did plz
Answer:1/32
Step-by-step explanation:
Lets take this step by step.
1-4-x-(4-1)=-x-2-(4)
first, we'll simplify the parentheses on the left side of the equation.
1-4-x-3=-x-2-(4)
second, we'll combine like terms on the left side.
-6-x=-x-2-(4)
third, we'll combine like terms on the right side of the equation.
-6-x=-6-x
since these are equal, (x=x), we have infinitely many solutions.