The final picture is the only function
this is true because to be a function every value of x can only have one y value and all of the pictures have an x value that has more than one y value except for that last one
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Answer:</h3>
40
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Step-by-step explanation:</h3>
The average of a data set is the number "in the middle" of all of the numbers. This is a measurement of the center of a data set. Another word for average is mean.
How to Calculate the Average
The average or mean is calculated by adding all of the values together. Then, divide this sum by the number of data points. For example, if the sum of 5 different data points is 10, then the average would be 10/5.
Finding the Average
Now, let's find the average of this specific data set. First, add all of the data together.
- 30+35+40+41+42+45+47 = 280
Then, count the number of terms. There are 7 different terms within this data set. So, next divide the sum by the number of terms.
This means that the average of the set is 40.
Other Measurements of Center
The mean is not the only measurement of center. There are 3 common measures of center.
- The mean is found by adding all the terms and then dividing by the number of terms.
- Another measurement is the median is found by ordering the terms from least to greatest, and then taking whatever number is left in the middle. The median of this set is 41.
- Finally, the mode is the term that appears the most often. Many times there can be more than one mode. This set has no real mode because all of the terms only appear once.
Answer:
Step-by-step explanation:
In this problem, we have the following linear equations:
y=3x+5
y=ax+b
We know that a linear equation is an equation for a line. In a system of linear equations, two or more equations work together.
1. What values for a and b make the system inconsistent?
A system is inconsistent if and only if the lines are parallel in which case the system has no solution. This is illustrated in the first Figure bellow. Two lines are parallel if they share the same slope. So, the system is inconsistent for:
a=3
for any value of b
2. What values for a and b make the system consistent and dependent?
A system is consistent if and only if the lines are the same in which case the system has infinitely many solutions. This is illustrated in the second Figure bellow. So, the system is consistent and dependent for:
a=3 and b=5
Answer: -10x=-3
Step-by-step explanation:
