Picture of work attached.
<h3>
The solution is x = 27</h3>
To undo a log, you raise both sides as exponents. This will cancel out the log on the left side. On the right side you'll have 6^2 turn into 36.
So you should end up with x+9 = 36 after you perform this step. Afterwards, subtract 9 from both sides to end up with x = 27.
For this case, the first thing we must do is define variables.
We have then:
x: Maggie's age
y: Age of Maggie's brother
We write the system of equations that models the problem.
We have then:
We solve the system of equations.
For this, we use substitution:
From here, we clear the value of x:
Answer:
Maggie is 9 years old
Answer:
Not necessarily. There are many ways to write a basic equation with a negative answer. For example, -3-4 = -7. Here 4 is a positive number but because you subtract 4 to 3 or take away 4 from 3 being a negative number and so you get a negative answer. Another example is 6+(-9). There are a couple of ways you can resolve this. My method is to subtract 9 from 6 which gives you 3 and simply add a negative sign.
Let me know if you'd like more examples. Hope this helps!! Sorry if it is confusing I can explain you in a more simpler way if you'd like.
Step-by-step explanation:
Solution:
The permutation formula is expressed as
The combination formula is expressed as
where
Given that 6 objects are taken at a time from 8, this implies that
Thus,
Number of permuations:
Number of combinations:
Hence, there are 28 combinations and 20160 permutations.
