Answer:
f^-1(x) = 3 - 5x, second option
Step-by-step explanation:
To determine the inverse simply interchange the variables and solve for y;
f(x) = 3 - x / 5 -> Interchange the variables
x = 3 - y/5 -> Multiply either side by 5
5x = 3 - y -> Subtract three from either side
- y = 5x - 3 -> Divide either side by - 1
y = - 5x + 3
Your solution is f^-1(x) = 3 - 5x
Around 377 students would actually attend (according to the college estimates), off they admit in 580 students. If they want the most students they should admit their maximum.
So you would do .30 multiply that by 18.99 and your answer would be 5.69
Answer:
The graph is sketched by considering the integral. The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.
Step-by-step explanation:
We sketch the integral ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ. We consider the inner integral which ranges from r = 0 to r = 6/cosθ. r = 0 is located at the origin and r = 6/cosθ is located on the line x = 6 (since x = rcosθ here x= 6)extends radially outward from the origin. The outer integral ranges from θ = 0 to θ = π/4. This is a line from the origin that intersects the line x = 6 ( r = 6/cosθ) at y = 1 when θ = π/2 . The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.