First, we are going to find the vertex of our quadratic. Remember that to find the vertex
of a quadratic equation of the form
, we use the vertex formula
, and then, we evaluate our equation at
to find
.
We now from our quadratic that
and
, so lets use our formula:
Now we can evaluate our quadratic at 8 to find
:
So the vertex of our function is (8,-72)
Next, we are going to use the vertex to rewrite our quadratic equation:
The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.
We can conclude that:
The rewritten equation is
The x-coordinate of the minimum is 8
Answer:
The null hypothesis
The alternative hypothesis
Step-by-step explanation:
From the question we are told that
The population mean is
Generally
The null hypothesis is that the company's new sedan, the Libra, will have an average of
This mathematically represented as
The null hypothesis
The alternative hypothesis is that the company's new sedan, the Libra, will have an average better than
This mathematically represented as
The alternative hypothesis
Answer:
Step-by-step explanation:
Answer:
b hours
Step-by-step explanation:
100 minus the 10 on the jacket equals 90. 90 divided by 15 is 6
The way to write this expression in mathematics is A'∩B
<h3>How to solve for the expression</h3>
In order to get the right way to write this expression we have to break it down in two parts.
First we are told that some of the elements are not in A.
This is represented as A'.
Then we are told that they are in the set B. Hence we have it written as B.
Then the expression not in set A but are in set B would be written as
A'∩B.
Read more on sets here:
brainly.com/question/13458417
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