Use subtitution method to solve the problem.
First, change y to the value of x in order to find the exact value of x.
x + y = 4
y = 4 - x
Second, subtitute y with 4 - x from the first equation
y = -x² + 2x + 4
4 - x = -x² + 2x + 4
move all terms to the left side
x² - 2x - x + 4 - 4 = 0
x² - 3x = 0
x(x - 3) = 0
x = 0 or x = 3
Third, now we have 2 values of x. Find the value of y for each of x
For x = 0
y = 4 - x
y = 4 - 0
y = 4
For x = 3
y = 4 - x
y = 4 - 3
y = 1
The solution is (0,4) and (3,1). The answer is option b
Answer:
And for this case that represent the 5.6% of the homeless persons who are veterans
Step-by-step explanation:
We know that in a survey of 250 homeless persons 14 were veterans. We can find the estimated proportion of homeless persons who are veterans with the following formula:
The last one is an unbiased estimator of the true population proportion p
And replacing the info given we got:
And for this case that represent the 5.6% of the homeless persons who are veterans
Answer: 26.8 feet
Step-by-step explanation:
In the figure attached you can see two right triangles triangle ABD and a triangle ACD.
You are located at point B and the other person at point C.
The approximate height of the lifeguard station is <em>x</em>.
Keep on mind that:
Therefore:
<em>For the triangle ABD</em>:
[EQUATION 1]
<em>For the triangle ACD:</em>
[EQUATION 2]
Solve from DC from [EQUATION 2]:
Substitute into [EQUATION 1] and solve for x:
≈26.8ft
Concluding, the equations that do not accurately represent the data in the scatter plot are B, C, and D.
<h3>
</h3><h3>
Which equations do not accurately represent the data in the scatter plot?</h3>
By looking at the scatter plot, we can see that as we read from left to right, the number of shoes sold (y variable) decreases.
Then the linear fit must have a negative slope, from that, we can discard options B and C.
Now, we also can see that the line starts almost at y = 70.
If you look at the option D, you can see that the constant term of that line is -70, so we can also discard that option.
Concluding, the equations that do not accurately represent the data in the scatter plot are B, C, and D.
If you want to learn more about scatter plots:
brainly.com/question/6592115
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