Graph the function. f(x)=−1/5x+4
1 answer:
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Answer:
.
Step-by-step explanation:
Since repetition isn't allowed, there would be choices for the first donut,
choices for the second donut, and
choices for the third donut. If the order in which donuts are placed in the bag matters, there would be
unique ways to choose a bag of these donuts.
In practice, donuts in the bag are mixed, and the ordering of donuts doesn't matter. The same way of counting would then count every possible mix of three donuts type times.
For example, if a bag includes donut of type ,
, and
, the count
would include the following
arrangements:
.
.
.
.
.
.
Thus, when the order of donuts in the bag doesn't matter, it would be necessary to divide the count by
to find the actual number of donut combinations:
.
Using combinatorics notations, the answer to this question is the same as the number of ways to choose an unordered set of objects from a set of
distinct objects:
.
Given:
The fees for a day student are $600 a term.
The fees for a boarding student are $1200 a term.
The school needs at least $720000 a term.
To show:
That the given information can be written as .
Solution:
Let x be the number of day students and y be the number of boarding students.
The fees for a day student are a term.
So, the fees for day students are
a term.
The fees for a boarding student are a term.
The fees for boarding student are
a term.
Total fees for day students and
boarding student is:
The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.
Divide both sides by 600.
Hence proved.