Answer:
Step-by-step explanation:
7x + 6 = 7x - 5
Collecting like terms
7x - 7x = -5 - 6
The x is canceled out so no solution
Answer:
200 cm^2
Step-by-step explanation:
Add up all areas
4 x 6 x 1/2 = 12
4 x 6 x 1/2 = 12
3 x 11 = 33
3 x 11 = 33
6 x 11 = 66
12 + 12 + 33 + 33 + 66 = 200
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.
120 + 120 + X + X = 360
240 + 2X = 360
2X = 120
X = 60
Answer:
-9
Step-by-step explanation:
Simplify the following:
7 - 8/4 (3^2 - 1)
Hint: | Evaluate 3^2.
3^2 = 9:
7 - 8/4 (9 - 1)
Hint: | Subtract 1 from 9.
9 - 1 = 8:
7 - 2×8
Hint: | Divide 8 by 4.
8/4 = (4×2)/4 = 2:
7 - 2×8
Hint: | Multiply -2 and 8 together.
-2×8 = -16:
7 + -16
Hint: | Subtract 16 from 7.
7 - 16 = -9:
Answer: -9
