Answer: y = 1x -3
The 1 is not necessary so
y= x - 3
Step-by-step explanation:
(y- y1) = m(x -x1). First
Substitute y and x-values from the given coordinates and solve for x.
7-(-1)=m(10-2)
8 = m(8) 8/8=1 T
m= 1 The slope, m is 1
Then substitute values of y and x from either given coordinate into the equation and solve for b, the y-intercept.
y=mx+b
-1= 1(2)+b
-1=2+b subtract 2 from both sides.
-1-2 = b
-3 = b
OR
7= 10 + b
-10 +7 = b
-3 = b
Finally, write the equation with the values for m and b
y = 1x +(-3) Simplify & Rewrite
y= x - 3
0.416666666666 is the answer I believe
Answer:
1. 8
2. -1/2
i dont know how to do the other problems, but i did know how to solve the 1st 2 questions. hope it helped :)
Step-by-step explanation:
Answer:
51 milligrams
Step-by-step explanation:
Exponential growth or decay can be modeled by the equation ...
y = a·b^(x/c)
where 'a' is the initial value, 'b' is the "growth factor", and 'c' is the time period over which that growth factor applies. The time period units for 'c' and x need to be the same.
In this problem, we're told the initial value is a = 190 mg, and the value decays to 95 mg in 19 hours. This tells us the "growth factor" is ...
b = 95/190 = 1/2
c = 19 hours
Then, for x in hours the remaining amount can be modeled by ...
y = 190·(1/2)^(x/19)
__
After 36 hours, we have x=36, so the remaining amount is ...
y = 190·(1/2)^(36/19) ≈ 51.095 . . . . milligrams
About 51 mg will remain after 36 hours.