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: Speed in miles per hour is 45 mph.
Step-by-step explanation:
Since we have given that
Distance covered = 15 miles
Time taken to cover the above mentioned distance = 20 minutes
We need to calculate the speed in miles per hour ,
As we know the formula for " Speed " i.e.
Now, we will put the value of distance and time in the above formula:
Hence, Speed in miles per hour is 45 mph.
Answer:
B
Step-by-step explanation:
B cause
Answer:
78 79 80
Step-by-step explanation:
Let the smallest number = x
Let the next number = x + 1
Let the largest number = x + 2
x + x + 1 + x + 2 = 237 Add together to get the equation
3x + 3 = 237 Subtract 3 from both sides.
3x + 3 - 3 = 237 - 3 Combine the right
3x = 234 Divide by 3
x = 234/3
x = 78
The smallest number is 78
The next number 79
The highest number is 80
Answer:
x=14
Step-by-step explanation:
