What is the value of x
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The required steps are explained below to convert the quadratic function into a perfect square.
<h3>What is the parabola?</h3>It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
Let the quadratic function be y = ax² + bx + c.
The first step is to take common the coefficient of x². We have
Add and subtract the half of the square the coefficient of x,
Then we have
These are the required step to get the perfect square of the quadratic function.
More about the parabola link is given below.
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To find the median of the data set, we must first order them from lowest to highest in increasing order. Let's rearrange them in that way:
{17, 23, 30, 40, 44, 44}
Then we begin by crossing one off from each side, until we get to the middle. However, we see that our middle here is both 30 and 40.
What we do in a case like this is add up the two numbers and divide by 2 (essentially find the mean of the two middlemost numbers). Let's do that now:
So now we know that the median of the set of data is 35.
{17, 23, 30, 40, 44, 44}
Then we begin by crossing one off from each side, until we get to the middle. However, we see that our middle here is both 30 and 40.
What we do in a case like this is add up the two numbers and divide by 2 (essentially find the mean of the two middlemost numbers). Let's do that now:
So now we know that the median of the set of data is 35.
For this case we have:
By properties of the radicals
So:
.
Now, for power properties we have:
Thus,
So:
in its radical form
Answer:
in its simplest form.
in its radical form