Answer:
52.5 sweets
Step-by-step explanation:
Given data
Total sweet= 120 sweet
She gave 1/4 of the sweets to her grandmother
=1/4*120
=30 sweets
Remaining sweet= 120-30= 90 sweets
She gave 5/12 of the remaining to her grandfather
=5/12*90
=450/12
=37.5 sweets
Balance of sweets
=90-37.5
=52.5 sweets
1. <span>2.9132522e-20
2. if we said for example that 'f' is 6, the answer will be: 2
3. If we say that 'g' is 10, it will be: 1/10e-1, that the result is: 10</span>
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].