At a ski resort, the cost of renting ski equipment for x days can be represented by the function f(x) = 44x + 8.

The cost of renting ski equipment for x days at another ski resort can be represented by the function g(x) = 30x + 15.

Which of the following represents h(x) = f(x) – g(x), the difference in the rental amounts between the resorts?

h(x) = 74x – 23
h(x) = 74x + 7
h(x) = 14x – 7
h(x) = 14x + 7

Find all the values of x that make 0.1x + 0.25(102 - x) < 17.10 true.

"curse these trig-loving pirates! " devora mutters as she looks at the map. then, after thinking for a moment, she walks back to the entrance of the secret cave, measuring 48 meters along the way. after performing a calculation, devora walks back to the empty treasure, faces the entrance, and turns a certain number of degrees to her left before walking 89 meters to the treasure. supposing that the angle at the cave entrance is acute and that devora's calculations were correct, how many degrees did she turn?

Find a parametrization for the curve「and determine the work done on a particle moving along γ in r3 through the force field f: r^3--r^3'where f(x,y,z) = (1,-x,z) and (a) im (γ) is the line segment from (0,0,0) to (1,2,1) (b) im (γ) is the polygonal curve with successive vertices (1,0,0), (0,1,1), and (2,2,2) (c) im (γ) is the unit circle in the plane z = 1 with center (0,0,1) beginning and ending at (1,0,1), and starting towards (0,1,1)