Answer:
slope is (-7/4) and y-intercept is 7
Step-by-step explanation:
If we convert the equation 7x + 4y = 28 into Slope-intercept form, we can find the slope and the y-intercept.
7x + 4y - 7x = 28 - 7x
4y = 28 - 7x
divide both sides by 4
y = (28 - 7x)/4
y = 7 - 7x/4
slope is (-7/4) and y-intercept is 7
Answer:
2/7x +3=9
x=21
Step-by-step explanation:
Let the unknown be x.
Take 3 to the other side so: 2/7 multiplied by x= 6
Divide 6 by 2/7 to get the answer;
Therefore x=21
Sub back into equation to check answer.
Answer:
b
Step-by-step explanation:
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.
Given:
The given inverse trigonometric term is:
To find:
The value given inverse trigonometric term.
Solution:
We have,
Using the calculator, we get
The value of given term is 31.1°.
Therefore, the correct option is B.
