Answer:
true
Step-by-step explanation:
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].
x + y when x = 6 and y = 2
6 + 2 = 8
when x = 12 and y = 20
= 37
when m = 12 and n = 3
= 24
Six times x
6x
Six increased by x
6 + x
The sum of x and y
x + y
Paying off a debt over time with planned payments, so kind of like mortgage on a house.
0.41, 0.5, 3/5
convert all to decimals
0.5=0.5
0.41=0.41
3/5=0.6
