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].
Yes, i believe so because u can count back twice and u will get 5. You could al so do: 7-2=5. Hope this helps
Percentage of pages of a book read by Katie = 32%
Total number of pages of the book read by Katie = 80
Let us assume the number of pages that the book has = x
Then
(32/100) * x = 80
32x = 80 * 100
32x = 8000
x = 8000/32
= 250
So the book has a total of 250 pages in it.
Then
The number of pages that Katie still needs to read = 250 - 80
= 170
So Katie needs to read 170 more pages in the book.
Answer:
7 units
Step-by-step explanation:
Simply count the units between A and B :)
Answer:
200 kg
Step-by-step explanation:
First hour he sold 15% <em>(remaining is 85%)</em>
Second hour he sold 20% of remaining <em>(which is 85%)</em> -- so he sold 
, which is 17% (remaining 85-17=68%)
Third hour he sold 25% of remaining <em>(which is 68%)</em> -- so he sold 
, which is 17%
In third hour he sold 34, so 17% is 34. To find total he initially had, we need to find (100%). We can setup the ratio (letting x equal his initial amount):
Initially the farm stand owner had 200 kg of apples.
