Answer:
Step-by-step explanation:
We have the function and we have the function . We want to find g(x) composed with f(x)
Then, the function (f o g)(x) is the same since f(g(x))
That is, you must do x = g(x) and then enter g(x) into the function f(x).
Simplifying, we obtain:
Finally. The composite function is:
Answer:
The answer is 42/19 or 2 4/19
Step-by-step explanation:
You have to divide 7 by 19/6. I say "19/6" because that's an improper fraction. You do " 7/1 divided by 19/6". Then you do KCF (Keep Change Flip). So you do "7/1 times 6/19". So now you just multiply across. And there's your answer (42/19) If you want to do a mixed number then you get 2 4/19.
Answer:
Upper confidence level (UCL) = 29367.875
Lower confidence level (LCL) =23061.064
Step-by-step explanation:
Given : sample mean=26214.47
sample standard deviation=5969.25
sample size=15
degree of freedom=14
t critical value for 94% confidence with 14 degree of freedom=2.046
To Find : Upper confidence level (UCL) =?Lower confidence level (LCL) =?
Solution:
Formula for confidence interval =
sample mean= =26214.47
sample standard deviation = s =5969.25
sample size = n =15
t critical value for 94% confidence with 14 degree of freedom =2.046
Substitute the values in the formula :
confidence interval =
confidence interval = to
confidence interval = to
Hence Upper confidence level (UCL) = 29367.875 and Lower confidence level (LCL) =23061.064
It is moving away from earth.
explanation: when an object moves away from us the light shifted to the red end of the spectrum as its wavelengths get longer
First of all to make our equation simpler, we'll equal
to a variable like 'a'.
So,
Now let's plug
's value (a) into the equation.
Now we turned our equation into a quadratic equation.
(The variable 'a' will have a solution set of two solutions, but 'x' , which is the variable of our first equation will have a solution set of four solutions since it is a quartic equation (<span>fourth-degree <span>equation) )
Let's solve for a.
The formula used to solve quadratic equations ;
The formula is used in an equation formed like this :
</span></span>
In our equation,
t=16 , b=-41 and c=25
Let's plug the values in the formula to solve.
So the solution set :
We found a's value.
Remember,
So after we found a's solution set, that means.
and
We'll also solve this equations to find x's solution set :)
So the values x has are :
,
,
and
Solution set :
I hope this was clear enough. If not please ask :)