Answer:
b = 55°
c = 35°
Step-by-step explanation:
b° = 180° - (85°+40°) = 180° - 125° = 55°
c° = 180° - (b°+90°) = 180° - (55°+90°) = 180° - 145° = 35°
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].
Answer:
s = 1/10
Step-by-step explanation:
First, divide both sides by 4 to get s by itself.
(2/5) / 4 = 1/10
s = 1/10
Answer:
134
Step-by-step explanation:
This equation follows y=mx+b
y = output
x = input
(In this case) 8 = slope
(In this case) 134 = y-intercept
