Answer:
- $2300000- max profit
- 5.77 years into operation - zero profit time
Step-by-step explanation:
<u>Given function:</u>
It is a quadratic function with general form of y = ax^2 + bx + c
It opens down if a < 0 and gets maximum value at vertex which is determined at x = -b/2a
<u>For the given function vertex is:</u>
<u>Maximum value of p is:</u>
- p(3) = -3*3^2 + 18*3 - 4 = -27 + 54 - 4 = 23 ($2300000)
<u>The time when profit is zero:</u>
- -3t^2 + 18t - 4 = 0
- 3t^2 - 18t + 4 = 0
- t = (18 ± √18² - 4*3*4)/2*3 = (18 ± √276)/6 = (18 ± 16.61)/6
- t = (18 - 16.61)/6 = 0.23 this is the time when company has just started to make profit, it is not applicable as is the past time
- t = (18 + 16.61)/6 = 5.77 years into operation, after this time there will be no profit
<u>Given:</u>
It is given that the value of the graph when the input 7 is 
We need to determine the value of x when
<u>Value of x when </u><u>:</u>
The value of x can be determined by using the graph.
From the graph, we need to determine the value of x when other than the value x = 7.
This can be determined by finding the point at which the line meets the point y = 4, we can find the corresponding x - value.
Thus, from the graph, it is obvious that the graph also meets the point y = 4 when x = -8.
Therefore, the input value is x = -8 which makes
Hence, the input value other than 7 for which is x = -8.
You should buy 4 packs of hot dogs and 5 fax of bonds.
If AB and CD are parallel lines and PR is the transversal, then angle PRD = angle APR by alternate interior angle theorem.
Angle PRD = 120 degrees so, 65 + x = 120 degrees
120 - 65 = 55 degrees
