You are graphing y<2x +1 what type of line do you use and where do you shade ?
1 answer:
<h2>Hello!</h2>
The graph is attached.
<h2>Why?</h2>To solve the problem, we need to look for the characteristics of the line.
We can see that:
- The line has a positive slope since the coefficient of the linear term is a positive number (2).
- Since the line has a positive slope, the line is increasing.
From the line we can calculate the axis intercepts:
For the x-axis intercept, making "y" equal to 0, we have:
We have that the x-axis interception point is located at the point (-0.5,0)
For the y-axis intercept, making "x" equal to 0, we have:
We have that the y-axis interception point is located at the point (0,1)
Also, we have a "less" symbol for the inequality, meaning that the shade that represents the solution of the inequality is located under<u> the pointed line.</u>
The graph of the inequality is attached.
Have a nice day!
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<h2>Answer with explanation:</h2><h2 />
The confidence interval for population mean is given by :-
Given : Sample size : n= 5, since n<30 , so the test we use here is t-test.
Sample mean :
Standard deviation:
Significance level :
By using the standard normal distribution table , the critical value corresponds to the given significance level will be :-
Now, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas will be :-
Hence, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas = (0.068, 3.732)
Answer:
See photo below
Add arrows to the two ends of the parabola.
Step-by-step explanation:
To sketch this quadratic function, we to connect three dots: the two roots and a vertex.
The given roots are -1 and 1.
Draw <u>two dots at the x-intercepts</u>, which are (-1, 0) and (1, 0).
Vertex dot: V (x, y)
The vertex x-coordinate always in the middle of the two roots. The middle of -1 and 1 is 0. That's the same as the y-axis.
V (0, y)
Since the function increases when x < 0, the parabola will <u>open up</u>.
We read from left to right. The greater numbers are towards the top of the page.
<u>You can put the vertex anywhere on the y-axis that is below the x-axis.</u>
