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].
It is given that aiden has purchased a 2 lb package, a 3 lb package, and a 4 lb package
The first step is to add these packages together
2+3+4 is 9
each turkey burger needs 1/3 lb of turkey, which also means that every pound of turkey aiden has can make 3 turkey burgers
Aiden has 9 pounds of turkey, so he can make 27 turkey burgers (3*9)
Hope this helped! If you still need help I can answer in comments
Answer:
Step-by-step explanation:
12:3 = 12 divide by 3 = 4
3 divide by 3 = 1
