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].
6:2:3:4
for every 6 pairs of wedges she owns 2 Stillettos, 3 sneakers and 4 sandals
18/6 =3
3*2 =6 stilettos
3*3 = 9 sneakers
3*4 =12 sandals
18 + 6 + 9 + 12 = 45 pairs of shoes
Step-by-step explanation:
2/5 x 1/3 = 2/15 inches squared
Answer:
C
Step-by-step explanation:
both 4 and -4 are the same distance from 0
The answer is "N". Even though "W" has parallel lines, "N" only has 2.
Hope it helps!
-Lacy
