Answer:
Step-by-step explanation:
I think you are just asking for the decimal answers.
3/20 = 0.15
9/50 = 0.18
38/200 = 0.19
Answer:
- x = log(y/4)/log(1.0256)
- your answer for y=12 is correct
Step-by-step explanation:
The question is asking you to solve ...
y = f(x)
for x. (In other words, find the inverse function.)
You already did this using a constant for y. Do the same thing with y instead of the constant.
y = 4(1.0256^x)
y/4 = 1.0256^x . . . . . . . divide by 4
log(y/4) = x·log(1.0256) . . . . . take logs
log(y/4)/log(1.0256) = x . . . . . divide by the coefficient of x
Now, you have a model for x in terms of y, which is what the question is asking for.
x = log(y/4)/log(1.0256) . . . . . . . exact expression
When y=12, this is ...
x = log(12/4)/log(1.0256) ≈ 43.46 . . . . weeks
_____
This is a linear equation in log(y), so can be written as such:
x = 91.0912·log(y) -54.8424 . . . . . approximate expression
The given question can be solve using quadratic formula.
The correct option is (c)
.
Given:
The given equation is,
---------------------------(1)
Write the general quadratic equation.

Write the quadratic formula.
------------------------------- (2)
Compare equation (1) and (2).

Substitute the value of
,
and
in general quadratic.

Subtract
from each side of above equation.

Thus, the correct option is (c)
.
Learn more about quadratic equation here:
brainly.com/question/17177510
F-1(x)=x/4 represents the inverse function because to find the inverse you have to interchange the variables & solve for y