Answer:
The explicit formula is Tn = 18[(2/3)^(n-1)]
Where n is the term we are looking for
Step-by-step explanation:
Here, we want to get an explicit formula to model the equation
Now, F(2) = 2/3 * f1 = 2/3 * 18 = 12
F(3) = 2/3 * f(2) = 2/3 * 12 = 8
F(4) = 2/3 * F(3) = 2/3 * 8 = 16/3
F(5) = 2/3 * 16/3 = 32/9
Thus, seeing how the equations are progressing, we can definitely see a pattern.
That is Tn = (2/3)^(n-1)(18)
Answer:
In number 1:
m = 10/3
b = 19
Step-by-step explanation:
To find the answers to these, simply look to the coefficient of x and the constant at the end of the equation. The number attached to x is always m (which is known as the slope). The number at the end is b (or the y-intercept).
A.) 135 miles in 3 hours = 45 miles per hr
B.) 22 miles in 1 hour= 22 miles per hr
C.) 7.5 miles in 1/4 hour = 30 miles per hr
D.) 100/3 in 2/3 hour = About 49.9 mph
E.) 97.5 in 1.5 hours = 65 miles per hr
4 because you can draw a line horizontally and a line vertically and also two lines diagonally.
Answer:
OK, lets start by drawing a basic graph (the first one) so we can visualize.
We already know that the y coordinate of the circle's center is 
.
We know that the circle is tangent to the 
axis at 
That means the x coordinate of the center has to be 
, as the tangent is a point on the edge of the circle that touches a line at exactly one point.
The radius is the distance from the center of the circle to its edge. We know the center's location now, it is 
and a point on the edge of the circle (the tangent point) which is . so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)
We can imagine the circle should look like this (the second one):
Now we can piece together an equation
The equation of a circle is 
where 
is the center and 
is the radius. When we put the numbers in: we get 
which can be simplified into which is the answer.
Step-by-step explanation:
