Answer:
The solution is similar to the 2-point form of the equation for a line:
y = (y2 -y1)/(x2 -x1)·x + (y1) -(x1)(y2 -y1)/(x2 -x1)
Step-by-step explanation:
Using the two points, write two equations in the unknowns of the equation of the line.
For example, you can use the equation ...
y = mx + b
Then for the points (x1, y1) and (x2, y2) you have two equations in m and b:
b + (x1)m = (y1)
b + (x2)m = (y2)
The corresponding augmented matrix for this system is ...
![\left[\begin{array}{cc|c}1&x1&y1\\1&x2&y2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D1%26x1%26y1%5C%5C1%26x2%26y2%5Cend%7Barray%7D%5Cright%5D)
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The "b" variable can be eliminated by subtracting the first equation from the second. This puts a 0 in row 2 column 1 of the matrix, per <em>Gaussian Elimination</em>.
0 + (x2 -x1)m = (y2 -y1)
Dividing by the value in row 2 column 2 gives you the value of m:
m = (y2 -y1)/(x2 -x1)
This value can be substituted into either equation to find the value of b.
b = (y1) -(x1)(y2 -y1)/(x2 -x1) . . . . . substituting for m in the first equation
Answer:
B
Step-by-step explanation:
just think about it :
can it move up or down ? no, because for a specific input value still the same functional result is calculated (nothing is getting bigger or smaller).
all that is happening that way is that now, with using g(x), the original f(x) functional values happen now 2 units "later" = to the right (if you consider the x-axis a time line growing to the right). we are getting the functional value of f(x-2) at x and not at x-2 for g(x).
for example
the functional values are for x² (just some integers to make it easier) :
x = 1, 2, 3, 4, 5, ...
getting
f(1), f(2), f(3), f(4), f(5), ...
leading to
1², 2², 3² 4², 5², ...
which is
1, 4, 9, 16, 25, ...
now, let's say we start looking at x = 3
x = 3, 4, 5, 6, 7, ...
getting
g(3), g(4), g(5), g(6), g(7), ..
leading to
1², 2², 3² 4², 5², ...
which is
1, 4, 9, 16, 25, ...
so, now we are getting the functional value at e.g. x = 5 that we got originally for x = 3 (9).
therefore, under g(x) the original functional values still "happen", they just simply "happen" 2 units "later" (to the right).
in the same way
g(x) = f(x+2) moves everything 2 units to the left (now things are happening "earlier").
39 students have a pet because 130 times .30 which represents thirty percent gives you the answer
Answer:
is 96
Step-by-step explanation:
its simple hope you do good
80% of 7.5 is 6.
so if he travelled 80% further, it would be 7.5+6 which is
13.5
