Yes, I believe the points are indeed correct.
Answer:
-7/4
Step-by-step explanation:
You are looking for the composite g(f(2)). The simplest way to solve this is to evaluate f(2) and enter the solution in to your g function.
g(f(2))=g(-(2)^2-2(2)+4)=g(-4-4+4)=g(-4)
g(-4)=4/(-4(-4)-2)=4/(16-2)=4/14=2/7
Therfor, g(f(2))=2/7 **I'm assuming the -4x-2 is all in the denominator of the g(x) function. If -2 is not in the denominator you would have
g(f(2))=4/(-4(-4)) -2=4/16 -2=1/4 -2=1/4-8/4= -7/4
The answer x = 11 is correct for problem 4. Nice work.
Use this x value to find the answer in problem 5. From problem 4, we're told that Romeo runs at a speed of 5 m/s. If he runs for x = 11 seconds,then he runs a total distance of:
5*x =(5 m/s)*(x meters) = (5 m/s)*(11 seconds) = 5*11 = 55 meters
The answer to problem five is 55 meters
Answer
Explanation
Translations move the parent function toward the left, right, downwards or upwards.
f(x) = 2 |x|
This stretches the function by a factor of 2, hence, it is not a translation.
f(x) = |x + 6|
This translates the parent absolut value functio
The acronym for trigs is SOH CAH TOA
Sine means opposite divided by hypotenuse
So, let us find sine.
The opposie side is 16
The hypotenuse is 17.46
Use your calculator
The answer is ≈ 0.9164
