Subtract a from both sides of the equation.
b=−a+14
Answer: 16
Step-by-step explanation:
The question seeks to know the largest number of people that can sit in each row.
To answer this, find the Highest Common Factor of the numbers 48 and 64.
Factors of 48 ⇒ 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48
Factors of 64 ⇒ 1, 2, 4, 8, 16, 32 and 64
Because the teacher wants the rows to be equal with either only boys or only girls sitting in them, the highest number of people that can sit in a row will be 16.
There will be 7 rows in total.
Boys ⇒ 48/ 16 = 3 rows
Girls ⇒ 64/16 = 4 rows
Answer:
a) $50,880
b) $48
c) 1060
Step-by-step explanation:
a)
-320x^2 + 1920x + 48000 = 0
This is a parabola that opens downward. It has a maximum value. The maximum value occurs at x = -b/(2a)
x = -b/(2a) = (-1920)/(2(-320)) = 1920/640 = 3
The maximum revenue, y, is the value of the function evaluated at x = 3.
f(x) = -320x^2 + 1920x + 48000
f(-3) = -320(3)^2 + 1920(3) + 48000
f(-3) = 50,880
The maximum revenue is $50,880
b)
Since maximum revenue occurs at x = 3, and since x represents the number of $4 discounts, the discount is 3 * $4 = $12. The price is $60 - $12 = $48
c)
$50,880/$48 = 1060
