Answer:
- y-intercept = 5
- common ratio = 1/2
Step-by-step explanation:
The y-intercept and the common ratio of an exponential function can be read from the equation. The form of the equation is ...
y = a·b^x
where 'a' is the y-intercept, and 'b' is the common ratio.
You have ...
y = 5·(1/2)^x
Comparing this to the above form, you can see that ...
y-intercept = 5
common ratio = 1/2
Answer:
The value of a is 8
Step-by-step explanation:
If the three lines are collinear, they all lie on the same line
So let us have the equation of a line that passes through the known ends
the slope will be;
m = (6-2)/(3 + 5) = 4/8 = 1/2
The general form is;
y = mx + b
so, we have
y = 1/2x + b
To get b, we use any of the two known points
6 = 3/2 + b
b = 6-3/2
b = (12-3)/2 = 9/2
So the equation of the line is;
y = 1/2x + 9/2
Multiply through by 2
2y = x + 9
So for the point , to get a , we have that
2(a) = 7 + 9
2a = 16
a = 16/2
a = 8
I believe the answer is 5.9
1. 6/5 or an alternative 1 1/5
2. 3/2 or an alternative 1 1/2
3. 5/33 or an alternative 1 2/3
4. 2 3/5 or an alternative 2 3/5
5. 20/3 or an alternative 6 2/3
6. 49/6 or an alternative 8 1/6
if you have any further question ask away!
hope I helped ;)
2.9411764706
but if they're telling you to round, then round (: