Answer:
Reflection
Step-by-step explanation:
Because reflecting yourself in a mirror means pre image to image
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].
Answer:
Step-by-step explanation:
Perimeter of a triangle equals side 1 plus side 2 plus side 2
P = s1 + s2 + s3 side 1 = side 2 = x
x/side 3 = 5 / 3
x = (5/3) side 3
x (3/5) = side 3
perimeter = 65 slove for x
65 = x + x + 3x/5
325 = 5x + 5x + 3x
325 = 13X
25 = x equal side 1 and side 2
side 3 = 25(3/5) = 15
Answer:
6
Step-by-step explanation:
5% of 120 were late
= × 120
= 0.05 × 120
= 6