Answer:
Step-by-step explanation:
Finding an equation of a tangent line to that function requires that we find the derivative of the function at that point. Since this is an absolute value function with its cusp at (2, 5), the function is not differentiable here.
Answer:
Constant of proportionality: 
Equation: 
Step-by-step explanation:
By definition, Direct proportion equations have the following form:

Where "k" is the Constant of proportionality.
In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.
So, the equation that represents this relationship will have this form:

Then, the first step is to find the Constant of proportionality "k".
Knowing that:

We can substitute values into the equation:

Now, solving for "k", we get:

Therefore, we can write the following equation that represents that proportional relationship:

Answer: 15m + 5n
Step-by-step explanation:
so, first off, we take the number outside of the parentheses and multiply it by everything that's inside of the parentheses.
(5)3m + 5(n)
then, we just multiply all of those together.
15m + 5n
Answer:
3) C.
4) B.
5) C.
Step-by-step explanation: