
Remove parentheses : (a) = a

Apply exponent rule :


Apply exponent rule:


hope this helps!.
Answer:
why did the duck go to jail?
Step-by-step explanation:
because he was selling quack
If you are already given the general solution, finding the particular solution means to impose some conditions in order to fix the coefficients of the general solution.
The first thing we need to impose is that the function must output -1 when the input is zero. So, if we plug zero as input we have

But we want
, which implies 
So, we fixed the first coefficient. To fix the second one, we can use the second piece of information (and of course the already-found value for
).
We want the first derivative to output 3 when the input is zero. So, first of all, let's compute the first derivative, and evaluate it in zero:


And as before, since
and we want
, we deduce
.
So, once we fix both coefficients, the general solution becomes

Answer:
The First one
Step-by-step explanation:
The function that best represents the data is y = 0.75x + 4.5. The slope in this case represents the increase in the amount she spends in $ due to the number of cards she makes. The intercept with the Y axis (4.5) means that she has an expense of 4.5 $ without having made any card yet.