Y=ke^x
exponential function, inverse of natural log
Answer:
Carter family = 25 hours
Davis family = 31 hours
Step-by-step explanation:
Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.
So combined:
x + y = 45 hours
and we are also told that:
40x + 15y = 1300 L
So we can do simultaneous equations to solve the problem.
With some rearranging, we can figure out that:
y= 45 - x
and by substituting that into the second equation:
40x + 15 (45 -x) = 40x + 675 - 15x = 1300L
25x = 1300 - 675
25x = 625
x = 25 = hours that the Carter family used their sprinkler
and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:
25 + y = 56
y = 31
The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.
Hello! This has only 2 Solutions, Hope this helps! :)
Answer:
Step-by-step explanation:
We are given a ratio for this problem so we will use the formula for when we are given a ratio (as opposed to the formula for when you are given that the point you're looking for is a fraction of the way from one point to another, like 1/3 of the way from point A to point B. That's a different formula).
The formulas are for the x and y coordinates of the point in question:
and
where
a = 3 (from the ratio),
b = 1 (from the ratio),
x1 = -4, y1 = 0 (from point J)
x2 = 0, y2 = 4 (from point K). Filling in for x first:
gives us
and now for y:
gives us
![y=\frac{12}{4}=3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B12%7D%7B4%7D%3D3)
Therefore, the coordinates that partition that segment into the ratio of 3:1 are (-1, 3)
Yes it's a function.
the domains and ranges are {(1,6),(2,2),(5,-3),(6,-7)}
the domain are the x numbers so, (1,2,5) are your x's
the rangers are the y numbers so, (6,2,-3)