.Given:
ToDetermine: The value of
Solution
Hence, f(1) + g(2) = -1
HELP PLEASE. Find me the answer
1 answer:
Answer:
y = 3x -1
Step-by-step explanation:
When the given points are dilated by a factor of 1/5 about the origin, each of the coordinate values is multiplied by 1/5. The points after dilation are ...
... (2/5, 1/5), (-1/5, -8/5)
The line through these points can be found starting with a 2-point form of the equation for the line.
... y -y1 = (y2 -y1)/(x2 -x1)·(x -x1)
Filling in the point values gives ...
... y -1/5 = (-8/5 -1/5)/(-1/5 -2/5)(x -2/5)
... y = (-9/5)/(-3/5)(x -2/5) +1/5 . . . . simplify parentheses, add 1/5
... y = 3x -1 . . . . . simplify
_____
The graph shows the original points and the line through them in red, and the dilated points and line in green.
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Answer:
.
Step-by-step explanation:
On a cartesian plane, the -intercept of a function is the point where the graph of that function intersects with the
-axis.
The -axis of a cartesian plane is the same as the equation
(that is, the collection of all points with an
-coordinate of
.)
Construct a system of two equations, with one equation representing -axis and
to represent the graph of this function:
.
Solve this system for and for
. If a solution exists, then the
-axis and the graph of
would indeed intersect. The point
would be the intersection of the
-axis and the graph of
.
Substitute the second equation of the system into the first.
.
Hence, the intersection of the -axis and the graph of
would be
. By definition, this point would be the
-intercept of
.