We are given :
Step 1: factor the part inside square root
The function given inside square root is of quadratic form.
So let us try to factorise it using AC method.
Here A*C = 4*25 = 100
so we have to find factors of 100 that add up to give -20.
the two factors are -10 and -10.
Rewriting the function :
=
=
=
Step 2:
Now we take square root of the factorised form
=
Answer : (2x-5)
The graph represents a relation provided R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
<h3>What is an ordered double?</h3>It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
We have a relation:
R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
We can represent it on a coordinate plane as (x, y)
After plotting on a coordinate plane we will get a graph of a relation
R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
Thus, the graph represents a relation provided R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
Learn more about the ordered double here:
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<u><em>Answer:</em></u>
The initial value is 3
It represents the distance between the bird and its nest before any elapsed time which is 3 miles.
<u><em>Step-by-step explanation:</em></u>
The graph is shown in the attached image.
<u>The general form of a straight line is:</u>
y = mx + c
where:
m is the slope and c is the y-intercept.
The y-intercept is also known as the initial value. It is the value of y at x=0.
From the givens, we can note that at x = 0, the y-value is 3. This means that the y-intercept is 3.
Now, in the problem, x represents the time in minutes while y represents the distance of the bird from the nest in miles.
At x = 0, meaning before any time elapsed, the distance of the bird from its nest was 3 miles.
Hope this helps :)
