29.
As , .
This can be easily verified by looking at the graph (graph of a quadratic equation).
30.
The growth of a population is not linear, it's exponential.
31.
Exponential growth > polynomial, so .
35.
The question is asking V(t) for t = 40.
36.
The point of symmetry of a quadratic equation is at its vertice:
The line is x= 3.
The answer 3.8 to the nearest hundreds is 3,800
Answer:
(x − 5)² + (y − 4)² = 4²
(x − 5)² + (y + 4)² = 4²
Step-by-step explanation:
x=1 and x=9 are vertical lines. If both are tangent to the circle, then the circle has a diameter of 8, or a radius of 4, and the center of the circle is on the line x=5.
y=0 is the x-axis. Since the circle is tangent to that, the center of the circle is either 4 units above the x-axis or 4 units below.
So two possible equations of the circle are:
(x − 5)² + (y − 4)² = 4²
(x − 5)² + (y + 4)² = 4²
Here's a graph: desmos.com/calculator/9e4lxx731u
The mean to this question is 87.875
Finding the mean, also known as averaging numbers, is a very useful thing to know how to do, especially when you need a precise estimate or a very accurate generalization. Means and medians are not exact numbers; however, they are based on a series of exact numbers, therefore they are precise. Finding the mean (average) is used most often when figuring out students’ grades, the price of an item, and other things such as the daily temperature. Median is used to find the mid-section of a group of numbers, and mode is used to find the most popular term of the series (the number that appears the most often).