Answer:
160,000,000
Step-by-step explanation:
hello so this one is pretty simple ill give a quick walk through of what i did...
first i took 10x10x10 for 1,000 then X that by 8= 8,000
second we do 10x10x10x10 for 10,000 then X that by 2 for 20,000 then 20,00 X 8,000= 160,000,000
Two functions f(x) and g(x) are inverses if and only if:
f( g(x)) = g(f(x)) = x.
With that, we will find that the correct option is: g(x) = 2*x - 16
Let's see how to find the inverse of the given function.
The given function is: f(x) = (1/2)*x + 8
Notice that this is linear, thus, we propose an inverse that is also linear:
g(x) = a*x + b
Now we evaluate g(x) in f(x) to get:
g(f(x)) = a*f(x) + b
And that must be equal to x, so we get:
a*f(x) + b = x
a*((1/2)*x + 8) + b = x
(a/2)*x + a*8 + b = x
Then we have two equations:
(a/2) = 1, so a = 2.
a*8 + b = 0
And we know that a = 2, so we can replace that:
2*8 + b = 0
b = -16
Then the inverse function is:
g(x) = 2*x - 16
If you want to learn more, you can read:
brainly.com/question/2541698
Answer:
14.12 km
Step-by-step explanation:
Distance of Dawn = 6.42 km
Distance from Lin = 7.7 km in the opposite direction.
If they went in opposite directions then they were moving away from each other.
Therefore, the final distance between the two can be written as follows:
d = 6.42 + 7.7 = 14.12 km
After 20 minutes Dawn and Lin were 14.12 km away.
Answer:
Option (b) is correct.
The expression is equivalent, but the term is not completely factored.
Step-by-step explanation:
Given : a student factors to
We have to choose the correct statement about from the given options.
Given is factored to
Consider
Using algebraic identity,
comparing and b = 4, we have,
Thus, the factorization is equivalent but we can simplify it further also, as
Using algebraic identity,
Thus,
Can be written as
Thus, the expression is equivalent, but the term is not completely factored.
Option (b) is correct.
