this table shows input and output values for a linear function f(x). What is the difference of outputs for any two inputs that a
re one value apart?
2 answers:
Answer: The answer is (c) 0.5.
Step-by-step explanation: We are given a table that shows the input and output values of a function f(x). We are to find the difference of outputs for any two inputs that are one value apart.
That is, we need to find f(n + 1) - f(n), for n > -4.
Let us take n = 0. So, n + 1 = 0.
From the table, we note that f(0) = 1 and f(1) = 1.5.
Therefore, we have
We can also check taking different values of 'n' that the difference will come out to be same, i.e., 0.5.
Thus, the answer is 0.5.
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Actually Welcome to the concept of Geometric Mean (leg) theorem.
So according to the rule, we know that, here altitude = h and left side is 6 and right side is 14 , so we get as,
==> altitude/left = right/altitude
==> h/6 = 14/h
==> h^2 = 14*6
==> h^2 = 84
2.) so now we apply the Pythagoras theorem in triangle ∆DCB
so we get as,
==> (14)^2 + h^2 = a^2
==> 196 + 84 = a^2
==> 280 = a^2
==> a = √280
==> after simplified => a = √70*4
==> a = 2√70 units
hence the correct answer is a => 2√70 units.