Answer:
The second one
Step-by-step explanation:
The polynomial with 4 turning points has the degree of 4+1 = 5. Whatever number of turning points there are, add 1 and you get the degree.
The degree of the polynomial with one root or zero is 1
When you multiply polynomials, the degrees will add so 5+1 = 6 is the minimum degree of the new polynomial.
The final answer is 6.
Answer:
YES
Step-by-step explanation:
32(2)>19
64>19
TRUE
Answer:
160 units and $6400
Step-by-step explanation:
We have that the cost per x unit is: 20 * x + 0.25 * x ^ 2
the price per unit is 100, therefore revenue for each unit would be 100 * x
However:
profit = revenue - cost
p (x) = 100 * x - 20 * x - 0.25 * x ^ 2
for the maximum value profit we must derive and equal 0:
p '(x) = 100 - 20 - 0.5 * x
0 = 80 - 0.5 * x
0.5 * x = 80
x = 80 / 0.5
x = 160
Therefore, the maximum profit occurs when there are 160 units, replacing we have:
p (x) = 100 * 160 - 20 * 160 - 0.25 * 160 ^ 2
p (x) = 6400
that is to say that the $ 6400 is the maximum profit.
