Answer:
Explanation:
The distance driven is directly proportional to the time:
Which can also be written as:
- distance₁ / time₁ = distance₂ / time₂
Here you have:
- time₁ = 1 + 2/3 hours = (3 + 2) / 3 hours = 5/3 hours
With that you can set up a proportion:
- 75 miles / (5/3) hour = x₂ / 1 hour
Solving for x₂ you get:
- x₂ = [75 miles] × 1 hour / (5/3 hour) = 3 × 75 / 5 miles = 45 miles
The solution is: x= 7 and y = 2
Step-by-step explanation:
Given equations are:

Putting x = 3y+1 in equation 2 from equation 1

Subtracting 1 from both sides

Dividing both sides by 7

Putting y=2 in equation 1

Hence,
The solution is: x= 7 and y = 2
Keywords: Linear equations, substitution method
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Answer:
1 and 2.....then 3 is a different question
Since 3 divides 42, 3xy itself is the greatest common factor of 3xy and 42xy.
Answer: 3xy
Answer:
The inner function is
and the outer function is
.
The derivative of the function is
.
Step-by-step explanation:
A composite function can be written as
, where
and
are basic functions.
For the function
.
The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.
Here, we have
inside parentheses. So
is the inner function and the outer function is
.
The chain rule says:
![\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%3Df%27%28g%28x%29%29g%27%28x%29)
It tells us how to differentiate composite functions.
The function
is the composition,
, of
outside function: 
inside function: 
The derivative of this is computed as

The derivative of the function is
.