Answer:
   
Step-by-step explanation:
Problems like this require that you recognize that the denominator of the right term is a factor of the denominator of the left term. That is, you're supposed to know how to recognize and factor the difference of two squares.
   
 
        
             
        
        
        
First your going to use commutative property to reorder the terms , so it would be 
5x^4-x-35x^3+7 , then your going to factor out x & -7 from the equation once you factor that out you should have x(5x^3-1)-7(5x^3-1) after you got that your going to factor out 5x^3-2 and get the answer (x-7)(5x^3-1) which is your final answer.
        
             
        
        
        
Answer:
A
Step-by-step explanation:
From the graph, we can see that the <em>temperature increased initially</em>, then <em>started to decrease</em>. <u>All of these NOT in a constant rate, though</u>.
Roughly, the temperature was increasing from start till around 5.5 hours. Then on the temperature decreased.
So we can eliminate B, C, and D. That leaves us with correct answer as A.
 
        
             
        
        
        
Answer:
Step-by-step explanation:
The truck's fuel consumption is:
660 miles
---------------- = 7.33 miles per gallon.
90 gallons
Draw a set of coordinate axes, with # of gallons on the horiz. axis and distance traveled on the vertical axis.  Place a black dot at (0,0).  Starting at (0,0), draw in scale divisions that can accommodate 0-100 gallons.  Mark scale divisions on the vertical axis such that the maximum distance traveled is 800 miles.  Now draw a vertical line through 90 gallons and a horizontal line through 660 miles.  Draw a black dot where these two lines intersect.  Now draw a straight line through (0,0) and (90,660).  These two points are your intercepts, horiz. first and vert. second.
The domain is the set of numbers on the horiz. axis for which you have a graph (meaning that your function is defined).  Here your domain is
[0,90] gallons.  No function is defined for less than 0 gallons or more than 90 gallons.
The origin represents no fuel yet consumed and no distance yet traveled.
 
        
             
        
        
        
Answer: D. To produce treatment groups with similar characteristics 
Step-by-step explanation:
By using randomization in sampling, the Sample would be more representative of the Population it is based off of because different demographic characteristics may be picked. 
This leads to a situation where the groups have similar characteristics between themselves thereby making it easier for comparison. For example, Group 1 would have certain types of people that will be represented in Group 2 and Group 3 as well. That way the effects of the drug can be properly studied as it affects different people. For instance, say there are 4 obese people in a sample of 10, instead of group one having all obese people, randomization may be able to give group one, 2 obese people and 2 obese people to group 2 as well. That way when comparing, the effects of the drug on the two groups is easier to be compared because the two groups have similar people.