Determine the distance between (-3,1) and y=3x+1
1 answer:
You might be interested in
Answer:
4 pounds of chicken
Step-by-step explanation:
To make the 7 a fraction we put a one under it. Then we multiple the tops of the two fractions together and the bottom two numbers of the fraction together:
=
Finally, we simplify the improper fraction into a mixed number:
4
Answer:
x=12 maximizes the profit function.
Step-by-step explanation:
We are given that the profit is for
To find x that maximizes P, we will find the derivative of P(x) and find x such that P'(x) =0. Recall that the derivative of a function of the form is
, and that the derivative of a constant is zero. Then, by using the properties of derivatives, we get (the details of the calculation is omitted).
.
We want to solve . By dividing the equation by -3, we get
So we have that x=12 and x=-2 are solutions. In this case, we are only considering x greater than o equals 0. So, we take x=12.
We will check that x=12 is a maximum of P.
To do so, we will use the second derivative criteria, which is as follows. Given a function f whose first and second derivative exist, a point x is a maximum if . In our case,
Note that . So x=12 is a maximum of P.