Answer:
33/12 if simplified 2 3/4
Step-by-step explanation:
With the provided vertices and the focus point, the hyperbola will look like the one in the picture below.
notice the "c" distance from the center to the focus point.
since it's a vertical hyperbola, the positive fraction will be the one with the "y" in it, its center is clearly half-way between the vertices at -5, 5.
its major axis or traverse axis goes from -2 up to 12, so is 14 units long, therefore the "a" component is half that, or 7.
Step-by-step explanation:
the third of 7 consecutive numbers is 12.
so, this looks like
..., ..., 12, ..., ..., ..., ...
that means the numbers have to be
10, 11, 12, 13, 14, 15, 16
the sum is then
16+10 + 15+11 + 14+12 + 13 = 3×26 + 13 = 91
Answer:
This does represent an exponential function , because his savings increase by a constant rate
Step-by-step explanation:
Let
x -----> the number of weeks
y ----> the amount saved
In this problem we have a exponential function of the form
where
a is the initial value
b is the base
r is the rate of change
where
---- because he doubles the amount each week
---->
substitute
therefore
This does represent an exponential function , because his savings increase by a constant rate