Answer:
42.1558 km
Step-by-step explanation:
We know that 1 mile = 1,609 km
Then use this data as a conversion factor.
If we want to transform miles to kilometers then our conversion factor should be:

Now we must multiply the number of miles by this factori and thus we obtain the equivalent in kilometers

We want to get the difference quotient for the given function, we will get see that the difference quotient is equal to:
f'(x) = 2x + 5
<h3>
The difference quotient:</h3>
For a given function f(x), we define the difference quotient as:

In this case, we have:
f(x) = x^2 + 5x + 6
Replacing that in the difference quotient we get:

Now we can cancel the factor h to get:

So the difference quotient is equal to 2x + 5.
If you want to learn more about difference quotients, you can read:
brainly.com/question/4224465
Answer:
(5,-3) if the system is
y=x-8
2x+3y=1
Step-by-step explanation:
I think the system is to read:
y=x-8
2x+3y=1.
Please correct me if I'm wrong.
I'm going to plug 1st equation into 2nd equation giving me:
2x+3(x-8)=1 ->I replaced y with (x-8).
Distribute:
2x+3x-24=1
Combine like terms:
5x-24=1
Add 24 on both sides:
5x=25
Divide both sides by 5:
x=5
If y=x-8 and x=5, then y=5-8=-3.
The solution is (5,-3).