Answer:
The initial value of graph is: (0,3)
Step-by-step explanation:
The graph of this situation is a straight line that passes through the points:
(0,3) , (5,4) , (10,5) , (15,6) and (20,7)
Where the first ordinate displays the time in minutes and the second values denotes the distance of the bird from the nest in miles.
Time(in minutes) Distance (in miles)
0 3
5 4
10 5
15 6
20 7
The initial value of the graph is: (0,3).
It represents the initial distance of the bird from the nest initially i.e. before any elapsed time i.e. the time before the readings were taken or the starting time.
The bird was initially at 3 miles from the nest.
<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 :)
The right answer is c. –2.24, 2, 2.24
This question needs to be solved in two ways. First, using a graphing calculator. Next, using a system of equations.
1. Using a graphing calculator.
We have the following polynomial equation:
By ordering this equation we have:
So, we can say that this equation comes from a function given by:
Thus, by plotting this function, we have that the graph of this function is indicated in Figure 1. By zooming, we can see, in Figure 2, that the roots of the polynomial equation are the x-intercepts of which are:
Finally, rounding noninteger roots to the nearest hundredth we have:
2. Using a system of equations.
The ordered equation is:
By arranging to factor out we have:
Then, by factoring:
Term is a common factor, thus:
