What are the zeroes of f(x) = x2 + 5x + 6?
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Answer:
Step-by-step explanation: We know that:
and we want:
.
We can form the numerator using just the first fact (since 5^2 is 25) and the denominator using the latter two (since 3*7 = 21).
The logarithm of a division can be expanded by subtracting the numerator and denominator (while still keeping the log). The logarithm of a product can be expanded by adding the terms while keeping the log. If the logarithm is raised to a power, we can bring it down as a factor:
.
Substituting the variables:
Using a system of equations, it is found that <u>since the solution of the system does not involve decimal numbers</u>, it is possible to arrange the books in this way.
For the system, we consider that:
- x is the number of books on the first shelf.
- y is the number of books on the second shelf.
- z is the number of books on the third shelf.
In total, there are 152 books, hence:
The first shelf has 7 fewer books than the second shelf, hence:
Also, it has 11 more books than the third shelf, hence:
Then:
Then, replacing in the first equation:
The number of books in each shelf has to be countable, that is, cannot be decimal.
- Then, <u>since the solution of the system does not involve decimal numbers</u>, it is possible to arrange the books in this way.
To learn more about system of equations, you can take a look at brainly.com/question/14183076