Answer:
-4 1/12.
Step-by-step explanation:
-9/2 + 5 /12
The Lowest Common denominator is 12 so we have:
-54/12 + 5/12
= -49/12
= -4 1/12.
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:
b
Step-by-step explanation:
the step by step explanation is that because the word increase is the clave word just belive in me
-g(-2) is 10
<u>Step-by-step explanation:</u>
Step 1:
Given g(x) = 3x - 4. Find g(-2).
⇒ g(-2) = 3 × -2 - 4 = -6 - 4 = -10
Step 2:
Find -g(-2)
⇒ -g(-2) = -(-10) = 10