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].
Your answer is the fourth option, or option 'D'. y=2x+1 As the x value increases by 2, the y value increases by 1 hence y=2x+1 I hope this helped! :)
Answer:
4x + y = -12
Step-by-step explanation:
Standard form is Ax + By = C
First, distribute the -4:
у + 4 = -4(х + 2)
y + 4 = -4x - 8
Subtract 4 from both sides:
y = -4x - 12
Add 4x to both sides:
4x + y = -12
So, the standard form equation is 4x + y = -12
The monthly interest rate is 0.75%
<u>Step-by-step explanation:</u>
The rate of interest= 9%
Total time = 6years
Interest rate per month = 9/12
= 0.75%
Monthly payment =cost of the car + 0.75% of cost of car
Interest per month is 0.75%
X is equal 25 degrees. Line ac goes though the parallel lines. So bcd is x. Cdb is 180-50 equals 130. All angles add to 180. 180-130 equals 2X. So x equals 25.