Hello!
First you can distribute the 3
4 + 6r + 6s + 3r
Then you combine like terms
4 + 9r + 6s
The answer is 9r + 6s + 4
Hope this helps!
Answer:
Yes, the cost
in dollars and the amount of yogurt
are proportional.
The equation is: 
Step-by-step explanation:
1. If
varies directly as
, you can write it as following:

Where
is the constant of proportionality.
2. Let's calculate the value of the constant of proportionality. If
and
, you have:

3. Then, the equation is:

4. Let's verify if they are directly proportional. Substitute
which is the amount of yogurt bought by Jonah. The result must be $0,48:

5. They are directly proportional.
Answer:
f'(-1)= 3
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)= (7-(-2))/(1-(-2))=9/3=3
Slope of the tangent line in the given point equals f' at this point.
So,
f'(-1)= 3
This is very easy to solve once you understanding writing equations. In this case, we could do n+6=100 because we know that the number of songs he has now (n) plus 6 will equal 100. Below is a solution for this equation.
n+6=100
-6 -6
n=94
After solving our equation, we know that Kirk has 94 songs.
√8 = 2√2 = 2√2 = 2 x 1.414... =2.828....(irrational number between 2 and 3)
2.π = 6.283...........................................(irrational number between 6 and 7)
7/3 = 2.33333.. (mind you a repeating decimal is a rational number), then:
7/3 = 2.33333 ......................................(rational number between 2 and 3)
e/2 = 1.359...........................................(irrational number between 1 and 2)
3/2 = 1.5 ..............................................(rational number between 1 and 2)