Answer:
Parallel: y=6x-19
Perpendicular: y=-1/6x-0.5
Step-by-step explanation:
To be parallel to a line, the slope must be the same as the line. Then, you plug 3,-1 into y=6x, and add or subtract to balance the equation. You do the same to find the perpendicular line, but the slope must be the negative reciprocal of the line it is perpendicular to.
Answer:
30 and 195
Step-by-step explanation:
We need more to the question to answer it
Answer:
200,000 + 40,000 + 3.000 + 200 + 70 + 5
Step-by-step explanation:
Answer:
We have:
f(x) = 14*(5)^x
And we want to write this in the form:
g(x) = A*e^(k*x)
We want to have f(x) = g(x)
This is ratter easy.
The general case is:
A*(r)^x = B*e^(k*x)
Here we have:
A = B
Then:
(r)^x = e^(k*x)
Now we can remember the relation:
(a^x)^y = a^(x*y)
Then we can write:
e^(k*x) = (e^k)^x
Then we have:
(r)^x = (e^k)^x
Then we must have:
r = e^k
Now let's go to our case:
14*(5)^x = A*e^(k*x) = A*(e^k)^x
Then we have:
14 = A
5 = (e^k)
With this equation we can find the value of k.
ln(5) = ln(e^k) = k
ln(5) = k
Then the equation g(x) is:
g(x) = 14*e^(ln(5)*x)