a ladder that is 10 feet long is leaning against a wall. the base of the ladder is 6 feet from the wall. assuming the wall meets
2 answers:
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Answer:
2
Step-by-step explanation:
So to figure this out we just need to flip the values of x and y in the table and then redefine that as the function g(x), because an inverse is essentially the reverse!
So if we flipped x and y's for f(x). We would see that our output or y of g(x) is -3 when x = 2, or in other words g(2) = -3. This means that we are now going to solve for when f(-3). So now lets look at the table and find the value at x = -3 for f(x). This value is 2, so the value of f(g(2)) = 2.
*In the future*
When you have a composite function of two inverses they essentially cancel out and would leave whatever the value of x is. So if we know f(x) and g(x) were inverses the value of f(g(2)) would just be 2.
For example:
ln(x) and e^x are inverses so if I had a composition like this:
The answer to this would be 2 because these inverse functions "'cancel" out
So
The probability that the sum of the two number will be less than 4 is
Explanation:
It is given that Mike rolls two number cubes.
It is given by the sample space S.
Let A be the event that the sum of the two number will be less than 4.
The sample space is given by
Hence, the total probability of the sample space is
To determine the probability of the sum of the two number will be less than 4, we need to add the outcomes of the two numbered cubes which results in the value less than 4.
Thus, we get,
Thus,
The probability that the sum of the two number will be less than 4 is given by
Thus, the probability that the sum of the two number will be less than 4 is