Answer: The equation is y=mx+b where m is the slope and b is the intercept, so for your problem slope is 3 and the intercept is -2
Step-by-step explanation:
He should evaluate the function f(x)=−1/3 x+4 for x=3 , Option D is the correct answer.
<h3>What in Interpolation ?</h3>
Interpolation is when the line of best fit is used to determine the value of a point that is within the range of plotted points.
It is given to find the value at Day 3 which lies in the range of the points used for plotting
The line for best fit is
f(x) = (-1/3)x +4
At x = 3
f(3) = (-1/3) * 3 +4
f(3) = -1+4 = 3
Therefore He should evaluate the function f(x)=−1/3 x+4 for x=3
Option D is the correct answer.
To know more about Interpolation
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6.6 Symmetries of Regular
Polygons
A Solidify Understanding Task
A line that reflects a figure onto itself is called a line of symmetry. A figure that can be carried onto
itself by a rotation is said to have rotational symmetry. A diagonal of a polygon is any line
segment that connects non-consecutive vertices of the polygon.
For each of the following regular polygons, describe the rotations and reflections that carry it onto
itself: (be as specific as possible in your descriptions, such as specifying the angle of rotation)
1. An equilateral triangle
2. A square
3. A regular pentagon
4. A regular hexagon
It seems that some the work is already here, but I'd be glad to!! So for #3 which is 9x^2+15x, we can factor out both a 3 and an x (3x) so we know that 3x * 3x =9x^2 and 3x * 5 = 15x so once we take the 3x out of the equation, we are left with 3x(3x+5) and that's as far as you can factor.
For #4, we see that the common factor is 10m because 10m * 2n = 20mn and 10m * 3 = 30m so once we take 10m out of the original, it becomes 10m(2n-3)
For #5, this one the common factor is 4xy because 4xy * 2xy=8x^2y^2 and 4xy*x= 4x^2y and 4xy*3=12xy so once we take the 4xy out of the equation, it becomes 4xy(2xy-x-3)
Hope this helps!
Green's theorem says the circulation of
along the rectangle's border
is equal to the integral of the curl of
over the rectangle's interior
.
Given
, its curl is the determinant

So we have
