X+y=16
the sum of the squares is
x^2+y^2=sum
solve for y in first equation
x+y=16
y=16-x
subsitiute that for y in other equation
x^2+(16-x)^2=sum
x^2+x^2-32x+256=sum
2x^2-32x+256=sum
take derivitive to find the minimum value (or just find the vertex because the parabola opens up)
derivitive is
4x-32=derivitve of sum
the max/min is where the derivitive equals 0
4x-32=0
4x=32
x=8
at x=8
so then y=16-8=8
the smallest value then is 8^2+8^2=64+64=128
Answer:
Measure of Data Dispersion
Step-by-step explanation:
Standard deviation is used to show the variation and dispersion in a group of data. It shows how separated the data's are to each other and how each data can be related to the other.
A normal data distribution are those group of data, that are distributed in a wide range. The standard deviation helps to to measure how they are been spread out.
Standard deviation does not measure the shape, quality, and center of data. This are measured with graphs, range, mean and median.
Answer:
in the attachment
Step-by-step explanation:
Given: Piece-wise function graph.
We need to find the function.
In the graph, we can see a two-piece
For -3≤x≤0
Endpoints on graph (-3,-6) and (0,0)
It is the horizontal line. The equation of the horizontal line is y=k.
Equation: y=3
Now, we write as a piecewise function.
First blank = 2x
Second Blank = 3
hope this helps:)
Answer:
16/20
Step-by-step explanation:
4:5
Multiply each side by 4
4*4: 5*4
16:20
16/20
Answer:
make 3
Step-by-step explanation:
13.5x2.5=33.75in
33.75in=2.8125ft
2.9ft(or so)x3=8.7
You can only make 3 with about 1.5 ft left over. cause 33.75x3=101.25, which is 8.4375ft, or 8.5 ft.
