Hello!
The mean is the average. The median is the middle number of the data set, in terms of quantity. The mode is the number that appears the most. The range is the difference between the largest and smallest numbers in the set.
Therefore, our answers are below.
Range: Difference between largest and smallest data piece.
Median: Middle value of a set of data
Mode: most commonly occurring number(s)
Mean: the sum of the data divided by the quantity of the data items.
I hope this helps!
The solution will be the point of intersection of the two lines. The solution to the system is (1.1, 1.3)
<h3>Inequality graphs</h3>
Inequalities are expression not separated by an equal sign. Given the following inequalities
x+2y<4
3x-y >2
They are both written in standard form. The first line will be a dashed line and shaded below the graph while the second line will be a dashed line and shaded above.
The solution will be the point of intersection of the two lines as attached
Learn more on inequality graph here: brainly.com/question/11234618
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Let h(x) = 0.
Set each factor to 0 and solve for x.
-(x - 5) = 0
Disregard the negative sign in front of the parentheses.
x - 5 = 0
x = 5 is a zero.
x - 13 = 0
x = 13 is another zero.
The smaller zero is 5.
The larger zero is 13.
Both numbers make the quadratic function become zero.
Use the FOIL METHOD to express h(x) in standard form.
h(x) = -(x - 5)*x - 13)
After using FOIL, we get -x^2 + 18x - 65.
The square x term has a -1 in front. This number is the value of a in the formula below. The coefficient of x is 18. This is our b value.
x = -b/2a
x = -(18)/2(-1)
x = 18/2
x = 9
This number 9 just found is the x-coordinate of the vertex.
To find the y-coordinate of the vertex, replace every x you see in the quadratic equation above with 9 and simplify.
h(9) = -(9)^2 + 18(9) - 65
h(9) = 16
The vertex is located at the point (9, 16).