Answer: The answer is 
Step-by-step explanation: Given that Kayleigh babysat for 11 hours the present week. Also, this was 5 less than two-third of the number of hours she babysat last week, which is represented by 'h'.
We are to write an equation to represent the number of hours she babysat each week.
So, for that, let 'x' be the number of hours she babysat this week. Then, according to the question, we can write

Also, it is given that

Therefore,

Hence, using the above relation, we can find the number oh hours Keyleigh babysat each week.
Thus, the required equation is
where, 'x' and 'h' are the number of hours she sat this week and last week respectively.
Answer:
78
Step-by-step explanation:
Wrong theories the passageway
Answer: C. 461
Step-by-step explanation:
We know that the formula to find the sample size is given by :-

, where
= Population standard deviation from prior study.
E = margin of error.
z* = Critical value.
As per given , we have
E= 15
Significance level : 
Critical value (Two tailed)=
Now , Required sample size = 
[Round to next integer]
Hence, the required sample size to be taken is 461.
Correct answer = C. 461
For this case, the parent function is given by:

We apply the following transformations:
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units upwards:
For k = 9 we have:

Horizontal translations:
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right
For h = 4 we have:

Answer:
The function g (x) is given by:
