Answer:
y = x - 2
Step-by-step explanation:
y = mx + b
5 = 1 (7) + b
5 = 7 + b
b = -2
So...
y = x - 2
Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
The graph goes through (0,0), thereforea(0 - 10)² + 15 = 0100a = -15a = -0.15
The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
The x-intercepts identify values where the function or y=0. The x-intercepts occur at x=0 and x=20, or at (0,0) and (20,0).
The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
When x=12, y = -0.15(12 - 10)² + 15 = 14.4When x=15, y = -0.15(15 - 10)² + 15 = 11.25
The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
This rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases in the interval x =[12, 15].
sorry i dont have answered
Answer:
0.65
5.16
6.5
6.51
31.56
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Subtract 1 from both sides. The equation becomes 2.5d + 6.25 = 3.75d
Subtract 2.5d from both sides. The equation becomes 6.25 = 1.25d
Divide 1.25 from both sides. You get 5 = d