Answer:

Step-by-step explanation:
So we have the two functions:

And we want to find f(g(-2)).
First, let's find g(-2):

Multiply:

Subtract:

Now, substitute:

Now, find the value of f(-20):

Multiply:

Add:

So:

And we're done!
Answer:
260 cm²
Step-by-step explanation:
Please see the attached picture for the full solution.
Answer:
3/10
Step-by-step explanation:
Total paper clip =6+3+4+2+5
=20
Probability of green = number of green/total
= 6/20
leaving in it's lowest term
probability of green=3/20
Answer:
a)
, b)
.
Step-by-step explanation:
a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.

b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:


The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:


According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:


The exact solution is
, indicating that graphic solution leads to a good approximation.