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].
The answer is 72.5 because you add them all up then divide 10
Answer is A. Hope this helped
Answer:
f(X) = X + 8 g(x) = -4x - 3
(f + g)(x) =(x + 8 - 4x - 3)
=( -3x + 5)
then the answer is A
Answer: y = 4x - 11
Step-by-step explanation:
m = 4 , ( 2,-3 )
y - y1 = m ( x - x1 )
y - (-3) = 4( x - 2 )
y + 3 = 4x - 8
y = 4x - 11