Answer:
Step-by-step explanation:
-2y = -3x + 12
2y = 3x - 12
y = 3/2x - 6
y - 2 = 3/2(x + 8)
y - 2 = 3/2x + 12
y = 3/2x + 14
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
Answer: 5 1/30
Step-by-step explanation:
8 + 4/5 - 2/3 - 3 - 1/10 = 5 + 1/30
Answer:
$15
Step-by-step explanation:
Since there are 10 cards and a total possible prize of 30 dollars, the probability for each one is 30/10=3 dollars. And since 5 out of the 10 are even, you can multiply the individual amount by 5 to get a total estimated payout of $15. Hope this helps!