Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
Answer:
1/10
Step-by-step explanation:
1/2 x 1/5= 1/10
First we need to graph the given values.
there are total 16 data so x-value can be taken as 1,2,3,...,16
given values will be assigned as y-values as shown in attached table.
Now we just graph those points to see the type of skew.
From graph we see that points are very close and almost in the shape of a line. Lines seems to be moving upward when going to the right side.
Hence correct answer will be "positive skew".
6 is the cube root of 216.
I hope this helps! :D
The class which generally had the highest pulse of students recorded by the science teacher after climbing the stairs is class 3.
<h3>What is box plot representation of data?</h3>
Box plot is the way of representation of data which gives the graphical image of the data set to understand better.
The minimum and the maximum values in the box plot is plotted at the end points.
- A science teacher recorded the pulse of each of the students in her classes after the students had climbed a set of stairs.
- She displayed the results, by class, using the box plots shown.
In this box plot, the class 3 has the highest value compare to all the box plot.
Thus, the class which generally had the highest pulse of students recorded by the science teacher after climbing the stairs is class 3.
Learn more about the box plot here;
brainly.com/question/14277132
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