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Answer:
the answer would be $20.25
Step-by-step explanation:
55% of 45 is 24.75 and 45 - 24.75 = 20.25
Answer:
1/2 or 0.5
Step-by-step explanation:
Hello!
Pick two points on the graph, I'm picking (0,5) and (2,6)
To solve for the slope, we want the ratio to the rise of the graph, over the run of the graph (Rise/Run).
As the graph Rises 1 unit, it also Runs 2 units.
Hence the fraction 1/2.
We can also use the slope formula, given two points : (
Formula:
Plug in our points (0,5) and (2,6):
The slope is 1/2, or 0.5
Answer: No
Step-by-step explanation:
There are two ways to solve this. The first way is to calculate g(f(x)) (or f(g(x))). If f and g are inverse functions f(g(x)) = g(f(x)) = x.
g(f(x)) = (1/4)(2sqrt(x - 5))^2 - 5
= (1/4)*2^2*sqrt(x - 5)^2 - 5
= (1/4)*4*(x - 5) - 5
= x - 5 - 5
= x - 10
g(f(x)) = x - 10 =/= x, so the two functions are not inverse functions.
You can also solve this by using a test value a and calculating g(f(a)). If f and g are inverse functions, the result will be a.
For example, let a = 6.
f(6) = 2*sqrt(6 - 5)
= 2*sqrt(1)
= 2*1
= 1
g(f(6)) = g(1)
= (1/4)*1^2 - 5
= (1/4)*1 - 5
= 1/4 - 5
= -4 3/4
=/= 6
Therefore f and g are not inverse functions
Please note that this technique does not work in the other direction. If g(f(a)) = a, this does NOT prove that f and g are inverse functions.