The answer for you problem is 6
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
Answer:
Step-by-step explanation:
4x=12
x=12/4
x=3 answer
y=4*3=12 answer.
z=8-3=5 answer.
proof
3+12+5=20
20=20
Answer:
y-6 = -2(x+1)
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
= (-2-6)/(3--1)
= (-2-6)/(3+1)
= -8/4
= -2
Then we can point slope form where
y -y1 = m(x-x1)
where m is the slope and x1,y1 is a point
y-6 = -2(x--1)
y-6 = -2(x+1)
