Answer:
f(x) =ln(x−4)
Step-by-step explanation:
We can easily solve this question by plotting each of the graphs and verify the conditions in the problem,
Please see attached image.
The answer is the first option
f(x) =ln(x−4)
Which corresponds to the function ln(x) shifted four units to the right.
Besides,
f(e+4) =ln(e + 4−4) = ln(e) = 1
Answer:
0.166 = 16%
Step-by-step explanation:
There are three different options to pick in the bag, so the probability of getting a nickel first is 1/3, and then the probability of getting a penny without replacing the nickel is 1/2, as there will be only 2 options remaining after the nickel was picked.
So the final probability is the product of these probabilities:
P = (1/3) * (1/2) = 1/6 = 0.166 = 16%
First picture:
You got the first two right (good job!), so I'll just tackle the third one. If you have to compute 
, it means that you have to substitute 
in place of 
. Differently from the first two points, this will generate a new function, rather than a specific value:
Second picture:
Given the point 
highlighted in the picture, you can deduce that the base is 
units long (since it spans from 
to 
) and the height is 
units long (because it spans from to ). So, the area of the rectangle is the multiplication between base and height:
But we know that 
, so we have
The domain of this function is given by the domain of the square root: we want its argument to be non, negative, so we have
But since the problem is symmetric, the answer is
You can only see the answer 
because, if you choose 
or 
, the rectangle degenerates to a segment, and your exercise doesn't like this scenario, apparently
Answer:
4y-2 / 3
Step-by-step explanation:
