Please help me I suck at math
2 answers:
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Answer: If 169 meters is the longest length, then 154 meters is the shortest length.
Explanation:
The given figure show a box plot.
In a box plot the box is lies between the first quartile Q₁ and third quartile Q₃ . The line between Q₁ and Q₃ represent the median and Q₁ is always less than Q₃.
The end point of the line left side of the box represents the minimum value of the data and the end point of the line right side of the box represents the maximum value of the data.
From the figure we can say that,
Minimum value is 154 and the maximum value is 169.
Since it is given that the 169 meters is the longest length then the shortest length is 154.
Answer:
Part 1) The vertex is the point (1,-9)
Part 2) The equation of the axis of symmetry is x=1
Part 3) The y-intercept is the point (0,-8)
Part 4) The x-intercepts are (-2,0) and (4,0)
Part 5) The graph in the attached figure
Step-by-step explanation:
we have
This is a vertical parabola open upward
The vertex represent a minimum
Part 1) Find the vertex
The quadratic equation is written in vertex form
where
(h,k) is the vertex of the parabola
so
The vertex is the point (1,-9)
Part 2) Find the axis of symmetry
The equation of the axis of symmetry of a vertical parabola is equal the the x-coordinate of the vertex
so
The equation of the axis of symmetry is
Part 3) Find the y-intercept
we know that
The y-intercept is the value of the function when the value of x is equal to zero
so
For x=0
therefore
The y-intercept is the point (0,-8)
Part 4) Find the x-intercepts
we know that
The x-intercepts are the values of x when the value of the function is equal to zero
so
For h(x)=0
solve for x
square root both sides
therefore
The x-intercepts are (-2,0) and (4,0)
Part 5) Plot the graph of the quadratic function
Plot the following points to graph the function
vertex (1,-9)
axis of symmetry x=1
y-intercept (0,-8)
x-intercepts (-2,0) and (4,0)
The graph in the attached figure
