A function f on [a, b] is called a step function if there exists a partition P = {a = u0 < u1 < ··· < cm = b} of [a, b]
1 answer:
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a. $150
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c. 150+20x750
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Question 1:
For this case we have the following equation:
We observe that the equation is a polynomial of the second degree.
Therefore, the equation has two possible solutions.
The variable of the equation for this case is x.
In this case, we have an open equation because we have a variable.
Rewriting the equation we have:
Answer:
open, there is a variable.
Question 2:
For this case we have the following equation:
From here, we must clear the value of x.
For this, we follow the following steps:
1) Pass the value of 8x adding:
2) Pass the value of 6 adding:
3) Add the values on the same side of equality:
4) Pass the 8 to divide:
Answer:
The value of x is given by:
Question 3:
For this case we have the following equation:
The ordered pair solution is the one that satisfies both sides of the equation.
For the point (6, 2) we have:
Substituting values we have:
We observe that both sides of the equation are equal.
Therefore, the ordered pair solution is (6, 2)
Answer:
An ordered pair that is a solution of the equation y = x-4 is:
(6, 2)
Answer: the median is 6.
Please see the picture attached.
A line plot shows the number of occurrences (crosses) of each number of a data set.
The median is the central value, the middle number, of a data set ordered from least to greatest. When there are two middle numbers, the median will be the mean between the two.
In order to find the median, look at the line plot: count how many values you have (22), then add 1 (23) and divide by two (11.5). Since we have an even number of values, we will have two middle numbers, which will be in the eleventh and twelfth position.
Count the crosses from the left, the eleventh and twelfth crosses both correspond to the number 6, therefore the median is 6.
You can also write all the numbers in increasing order and divide them into two equal groups:
1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6 | 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11
The median will be the average between the two central numbers, therefore 6 (again).
Please see the picture attached.
A line plot shows the number of occurrences (crosses) of each number of a data set.
The median is the central value, the middle number, of a data set ordered from least to greatest. When there are two middle numbers, the median will be the mean between the two.
In order to find the median, look at the line plot: count how many values you have (22), then add 1 (23) and divide by two (11.5). Since we have an even number of values, we will have two middle numbers, which will be in the eleventh and twelfth position.
Count the crosses from the left, the eleventh and twelfth crosses both correspond to the number 6, therefore the median is 6.
You can also write all the numbers in increasing order and divide them into two equal groups:
1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6 | 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11
The median will be the average between the two central numbers, therefore 6 (again).