Let's try to complete the squares.
The x-part starts with 
, which is the beginning of 
. So, we'll think of as 
Similarly, we have that
So, the equation becomes
Now we have writte the equation of the circle in the form
When the equation is in this form, everything is more simple: the center is 
and the radius is 
.
Answer:
44.7 mg
Step-by-step explanation:
The equation for exponential decay can be written in the form ...
y = a·b^(t/p)
where 'a' is the initial value, 'b' is the decay factor, 'p' is the period over which the decay factor is applicable, and t is time in the same units as p.
<h3>Setup</h3>
Using the above equation, we have ...
a = initial value = 110 mg
b = decay factor = 55/110 = 1/2 over time period p=20 hours
Then the equation is ...
y = 110·(1/2)^(t/20) . . . . amount remaining after t hours
<h3>Solution</h3>
We want the amount remaining after 26 hours. That will be ...
y = 110·(1/2)^(26/20) ≈ 44.67
About 44.7 milligrams will remain after 26 hours.
Answer: 15
Explanation: quick maths in the brain
Answer:
y = mx + 1/2
Step-by-step explanation:
(x,y)
- Plot each point on a graph
- The line should go from the bottom left (-6,-10) to the top right (1,4)
- Count how many spaces are on the y-axis from -6 to 1 for numerator
- Count how many spaces are on the x-axis from -10 to 4 for denominator
- Positive slope
- Slope = 7/14
- Simplify to 1/2
