Answer:
triangle ABC is "not" a right-angled triangle
Step-by-step explanation:
AB=8cm
BC=5cm
perimeter = 22cm
CA = 22 - 8 - 5 = 9
8² + 5² = 89
9² = 81
AB² + BC² ≠ CA²
Answer:
function
Step-by-step explanation:
Answer:
38°
Step-by-step explanation:
4x-6x = -6 - 10
-2x = -16
__ __
-2 -2
x = 8
(6x-10)
(6(8)-10)
48-10
38°
A) Demand function
price (x) demand (D(x))
4 540
3.50 810
D - 540 810 - 540
----------- = -----------------
x - 4 3.50 - 4
D - 540
----------- = - 540
x - 4
D - 540 = - 540(x - 4)
D = -540x + 2160 + 540
D = 2700 - 540x
D(x) = 2700 - 540x
Revenue function, R(x)
R(x) = price * demand = x * D(x)
R(x) = x* (2700 - 540x) = 2700x - 540x^2
b) Profit, P(x)
profit = revenue - cost
P(x) = R(x) - 30
P(x) = [2700x - 540x^2] - 30
P(x) = 2700x - 540x^2 - 30
Largest possible profit => vertex of the parabola
vertex of 2700x - 540x^2 - 30
When you calculate the vertex you find x = 5 /2
=> P(x) = 3345
Answer: you should charge a log-on fee of $2.5 to have the largest profit, which is $3345.
3/4 - 1/2 = 3/4 - 2/4 = 1/4
7/8 - 2/3 = 21/24 - 16/24 = 5/24
