Answer:
Step-by-step explanation:
on day 1 she reads - 25 pages
on day 2 she reads - 35 pages
on day 3 she reads - 45 pages
on day 4 she reads - 55 pages
on day 5 she reads - 65 pages
on day 6 she reads - 75 pages
Answer:
Is there a diagram to this question?
Step-by-step explanation:
The water level starts at 800. Then, with each year, we add a meter. It means that after t years we add exactly t meters.
So, at any given time t, the water level will be
Recall that the vertex form of a quadratic function (or parabolic function) is equal to
Now, given that we have f(x) = x² + 14x + 40, to express f into its vertex form, we must first fill in the expression to form a perfect square.
One concept that we must remember when completing the square is that
(a + b)² = a² + 2ab + b²
So, to complete the square for (x² + 14x + ____), we have 2ab = 14 where a = 1. Thus, b = 14/2 = 7. Hence, the last term of the perfect square must equal to 7² = 49.
So, going back to the function, we have
Thus, we have derived the vertex form of the function.
Answer: f(x) = (x + 7)² - 9