Answer:
Choice A)  .
. 
Step-by-step explanation:
What are the changes that would bring  to
 to  ?
?
- Translate  to the left by to the left by unit, and unit, and
- Stretch  vertically (by a factor greater than vertically (by a factor greater than .) .)
 . The choices of
. The choices of  listed here are related to
 listed here are related to  :
:
- Choice A)  ; ;
- Choice B)  ; ;
- Choice C)  ; ;
- Choice D)  . .
The expression in the braces (for example  as in
 as in  ) is the independent variable.
) is the independent variable. 
To shift a function on a cartesian plane to the left by  units, add
 units, add  to its independent variable. Think about how
 to its independent variable. Think about how  , which is to the left of
, which is to the left of  , will yield the same function value.
, will yield the same function value. 
Conversely, to shift a function on a cartesian plane to the right by  units, subtract
 units, subtract  from its independent variable.
 from its independent variable.
For example,  is
 is  unit to the left of
 unit to the left of  . Conversely,
. Conversely,  is
 is  unit to the right of
 unit to the right of  . The new function is to the left of
. The new function is to the left of  . Meaning that
. Meaning that  should should add
 should should add  to (rather than subtract
 to (rather than subtract  from) the independent variable of
 from) the independent variable of  . That rules out choice B) and D).
. That rules out choice B) and D).
- Multiplying a function by a number that is greater than one will stretch its graph vertically. 
- Multiplying a function by a number that is between zero and one will compress its graph vertically.
- Multiplying a function by a number that is between  and zero will flip its graph about the and zero will flip its graph about the -axis. Doing so will also compress the graph vertically. -axis. Doing so will also compress the graph vertically.
- Multiplying a function by a number that is less than  will flip its graph about the will flip its graph about the -axis. Doing so will also stretch the graph vertically. -axis. Doing so will also stretch the graph vertically.
The graph of  is stretched vertically. However, similarly to the graph of this graph
 is stretched vertically. However, similarly to the graph of this graph  , the graph of
, the graph of  increases as
 increases as  increases. In other words, the graph of
 increases. In other words, the graph of  isn't flipped about the
 isn't flipped about the  -axis.
-axis.  should have been multiplied by a number that is greater than one. That rules out choice C) and D).
 should have been multiplied by a number that is greater than one. That rules out choice C) and D).
Overall, only choice A) meets the requirements.
Since the plot in the question also came with a couple of gridlines, see if the points  's that are on the graph of
's that are on the graph of  fit into the expression
 fit into the expression  .
.
 
        
                    
             
        
        
        
Answer: The predicted difference in sleep is 1251437 minutes.
Step-by-step explanation:
Since we have given that 
Number of years of education = 12 years
Number of minutes a week = 2000
As we have 
In case of individual A:
7 days = 2000 minutes
1 year = 365 days = 
12 years = 
In case of individual B:
7 days = 3000 minutes
1 year = 365 days = 
16 years =  minutes
 minutes
So, the predicted difference in sleep between individuals A and B is given by

Hence, the predicted difference in sleep is 1251437 minutes.
 
 
        
             
        
        
        
Answer:
This is a perfect cube.
The side length is 4.
Taking the cube root of the volume will determine the side length.
Step-by-step explanation:
We are told that: 
A cube has volume 64 centimeters cubed.
The formula for the volume of a cube = s³
Where s = side length
Hence
64 cm³ = s³
We can find s by finding the cube root of both sides
Hence,
cube root(64) = cube root(s³)
s = 4 cm
Note that 64 is a perfect cube because 4 × 4 × 4 = 4³ = 64 cm³
Therefore, it can be concluded of the cube that:
This is a perfect cube.
The side length is 4.
Taking the cube root of the volume will determine the side length.
 
        
             
        
        
        
The square root of 48 is the only irrational number in that group.
        
                    
             
        
        
        
Answer:
You caluculate the value of the segment then multiply it by 1/4. After that you move the compass to match the radius of the segment 
Step-by-step explanation:
Sorry if that didnt make sense