What is the equation of the axis of symmetry for the parabola y equals start fraction one over three end fraction left parenthes
1 answer:
The correct axis of symmetry is x = -1.
Explanation:
Our equation is
.
This is in vertex form, which is
y = a(x-h)² + k, where (h, k) is the vertex.
In our equation, h corresponds with -1 and k corresponds with -3, making the vertex (-1, -3).
The axis of symmetry is the x-coordinate of the vertex; this makes the axis of symmetry for this equation x = -1.
Explanation:
Our equation is
This is in vertex form, which is
y = a(x-h)² + k, where (h, k) is the vertex.
In our equation, h corresponds with -1 and k corresponds with -3, making the vertex (-1, -3).
The axis of symmetry is the x-coordinate of the vertex; this makes the axis of symmetry for this equation x = -1.
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Answer:
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Step-by-step explanation:
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Answer:
'There are about 2 more students in each class at Oak Middle School than at Poplar Middle School' is the correct statement.
Step-by-step explanation:
From the diagram, it is clear that
The data set containing Poplar Middle School:
20 20 20 21 21 21 21 21 22 22 22 22 22 22 22 23 23 23 23 24
The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:
The data set containing Oak Middle School:
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The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:
So, the difference in mean will be:
Therefore, 'there are about 2 more students in each class at Oak Middle School than at Poplar Middle School' is the correct statement.
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:
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