Step-by-step explanation:
The value of k in the equation g(x) = f(x) + k comes out to be 8.
How the vertical shifting of a graph takes place?
If the graph of a function f(x) is shifted vertically by k units, f(x) becomes f(x)+k.
From the diagram, we can say that graph of f(x) has been shifted vertically by 8 units
If we shift f(x) vertically by 8 units f(x) becomes f(x)+8 and also coincides with the graph of g(x).
So, g(x) = f(x) + 8........(1)
Comparing (1) and g(x) = f(x) + k, we get k=8.
Hence, the value of k in the equation g(x) = f(x) + k comes out to be 8.
The cost for 8 plates would be 72, and I believe it is proportional.
Hope it helps!
Answer:
25,000
Step-by-step explanation:
.10(x) = 2,500
X = 2,500/(.10)
X=25,000
y = -2x - 3
-- The y-intercept is the point where the graph crosses
the y-axis. But x=0 everywhere on the y-axis, so
y = -2(0) - 3
y = - 3 .
-- The x-intercept is the point where the graph crosses
the x-axis. But y=0 everywhere on the x-axis, so
0 = -2x - 3
Add 2x to each side: 2x = -3
Divide each side by 2: x = -3/2 .
Answer:
hope this helps :)
Step-by-step explanation:
12x - 3y