Answer:
- See below and the attachment
Step-by-step explanation:
<em>Refer to attached graph.</em>
<em>It i</em>ncludes the points and a best fit line produced by a graphing calculator.
- 17. The scatter plot is attached
- 18. There is a positive slope. Number of field goal attempts increase as minutes played increase.
- 19. The point is plotted: 2500 minutes gives about 880 field goal attempts.
The function is graphed as shown below
Part A:
We use the formula

to find the vertex of the function. A quadratic function of the form of

and equating this form to the given function

, we have

and

.
Substituting

and

into the vertex formula, we have

, as shown in the graph
This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos
Part B:
We can find solution to this equation by factorising





and

, as shown in the graph
The two values means that the company makes no profit when they either produce 5 or 15 photos
5z>15-----subtract 2 on both sides
z>3----divide by 5
therefore, z must equal -10, or -4
Remember: 60 seconds in a minute, 60 minutes in one hour.
So if butterflies flap 12 times per second, multiply that number by 60 to get how many times the butterfly flaps their wings in a minute. then, multiply that number by 60 again to get the flaps of number per minute.
12x60=720x60=43,200