Answer:
The y-intercept represents the flat fee.
Step-by-step explanation:
The y-intercept on the graph would be the point at which the line cuts across or intercepts the y-axis. At this point, the value of x (miles travelled) would be 0. The y-intercept in this case, would be the flat fee which is given as $2.
At x = 0, f(0) = 2.
The y-intercept represents the flat fee on the graph of f(x).
(x+7, y-3)
To move from the theater to Sam you would move right 7 units and down 3 units.
For this case we have the following functions:
h (x) = 2x - 5
t (x) = 6x + 4
Part A: (h + t) (x)
(h + t) (x) = h (x) + t (x)
(h + t) (x) = (2x - 5) + (6x + 4)
(h + t) (x) = 8x - 1
Part B: (h ⋅ t) (x)
(h ⋅ t) (x) = h (x) * t (x)
(h ⋅ t) (x) = (2x - 5) * (6x + 4)
(h ⋅ t) (x) = 12x ^ 2 + 8x - 30x - 20
(h ⋅ t) (x) = 12x ^ 2 - 22x - 20
Part C: h [t (x)]
h [t (x)] = 2 (6x + 4) - 5
h [t (x)] = 12x + 8 - 5
h [t (x)] = 12x + 3
