Answer:
Final answer is x=4, y=7.
Step-by-step explanation:
Questions says to use the graph to determine the number of solutions the system has. where system of equations are x=4 and y=x+3
any equation of the form x=k is a vertical line crossing x-axis at k.
So x=4 is a vertical line crossing x-axis at 4.
y=x+3 has slope m=1 and y-intercept b=3
So it passes through point (0,3) and for slope m=1, rise 1 up then 1 right to get new point.
Then final graph is given as shown in the picture.
We can see that both lines intersect at point (4,7).
Hence final answer is x=4, y=7.
<h2>
Hello!</h2>
The answer is:
Nicole has to run 6 laps when Marta has run 8 laps.
<h2>Why?</h2>
In order to calculate how many laps will Nicole have to run when Marta has run 8 laps, we need to use two equations.
We must consider that since both Marta's and Nicole's speed are constant all the time, Marta wil always run more laps than Nicole, meaning that there is not possibility for Nicole to run the same number of laps that Marta.
We know that they started at different time at the same constant speed, and when Marta has run 5 laps, Nicole has run 3 laps, there is a difference of 2 laps, and it will be always like that.
So, we can conclude that Marta will always be 2 laps ahead of Nicole.
For Marta we have:
For Nicole we have:
Now, if we want to calculate how many laps will Nicole has to run when Marta has run 8 laps, we need to use the second equation (Nicole's equation) and substitute the number of laps (Marta's lap), so, substituting and calculating we have:
Hence, we have that Nicole has to run 6 laps when Marta has run 8 laps.
Have a nice day!
Using error concepts, it is found that in this problem, a type I error would be finding an innocent person guilty, while a type II error would be finding a guilty person innocent.
<h3>What are Type I and Type II errors?</h3>
- Type I: Rejection of a true null hypothesis. The null hypothesis is true, but from a sample, you get enough evidence to reject.
- Type II: Non-rejection of a false null hypothesis. The null hypothesis is false, but from a sample, you do not get enough evidence to reject.
Hence:
In this problem, a type I error would be finding an innocent person guilty, while a type II error would be finding a guilty person innocent.
More can be learned about error concepts at brainly.com/question/25225353
Answer:
yes
Step-by-step explanation:
