There are no numbers on the graph, so we cannot tell for sure the value of f(3).
If the grid squares are each one unit, then the graph of f(x) appears to go through the grid point (3, -1). This means f(3) = -1.
Using this value in the expression for g(x), we have
.. g(3) = -4*f(3) +7
.. g(3) = -4*(-1) +7
.. = 4 +7
.. = 11
The value of g(3) is 11.
Answer:
Final cost of item = initial price(1 – rate)
Step-by-step explanation:
y(1 – .18) = .82y
Answer:
-4
Step-by-step explanation:
In order to get from point -1, 8, to point 2, -4, you would have to go down 12 and right 3, which would be 12/-3, which would simplify to -4
Green's theorem doesn't really apply here. GT relates the line integral over some *closed* connected contour that bounds some region (like a circular path that serves as the boundary to a disk). A line segment doesn't form a region since it's completely one-dimensional.
At any rate, we can still compute the line integral just fine. It's just that GT is irrelevant.
We parameterize the line segment by


with

. Then we find the differential:


with

.
Here, the line integral is





as required.