Answer:
A. Yes, the point is defined, limit f(x) exists, and limit f(x) 0.
Step-by-step explanation:
Let be , a rational function is continuous at a value of if and only if denominator is different from zero. In particullar, .
Then, we find that function is continuous for every value of except . Thus, the function is continuous at , which is evaluated below:
Thus, correct answer is A.
Answer:
The maximum profit of $ 10277.32____ can be made when the selling price of the dog food is set to $ _34___ per bag.
Step-by-step explanation:
Profit = Revenue - Cost
P(x) = R(x) -C(x)
= -31.72x^2 + 2,030x
-( -126.96x + 26,391)
Distribute the minus sign
= -31.72x^2 + 2,030x+126.96x - 26,391
Combine like terms
= -31.72 x^2 + 2156.96 x - 26391
This is a parabola. It is facing downwards. The maximum profits is at the vertex ( where the max is)
vertex = h = -b/2a = -(2156.96)/(2*-31.72) = -2156.96/-63.44=34
Evaluate P(x) at x=34 to determine the profit
P(34) = -31.72 (34)^2 + 2156.96 (34) - 26391
-36668.32+73336.64-26391
10277.32
Answer:
n = 16
Step-by-step explanation:
The slope from the origin to each point must be equal
(0,0) and (n, 8)
m = 8/n
(0, 0) and (32, n)
m = n/32
Set the slopes equal
8/n = n/32
cross multiply
256 = n²
Take the square root of both sides
n = 16
Answer:
The correct options for the solution values are:
Step-by-step explanation:
Given the expression
Subtract 25 from both sides
Simplify
Add 25 or 5² to both sides
as
so the expression becomes
solve
Subtract 5 from both sides
solve
Subtract 5 from both sides
Therefore, the solution to the equation
Hence, the correct options for the solution values are: