Answer: y=-x-1
Step-by-step explanation:
To find the answer, 5 and -6 have to be substituted in the place of x in the equation y = -x + b(The slope has to be the same because the line is parallel). -6 = -5 + b, b = -1. This means that the equation is y = -x - 1.
 
        
             
        
        
        
Henry has completed 40% of his work, leaving him with a remaining 60%.
What you do is divide 20 by 50 and your answer is .4, move the decimal two places to the right to get your percent, 40. Then subtract it out of 100 and you get the remaining 60%, which essentially is your answer.
        
             
        
        
        
a)  because it is equal to the area of the shaded region between X=4 and X=6, and the probability that X falls within some interval is given by the area under the PDF.
 because it is equal to the area of the shaded region between X=4 and X=6, and the probability that X falls within some interval is given by the area under the PDF.
b)  because the shaded region is a rectangle of height 1/5 (by virtue of X following a uniform distribution over the interval [2, 7], which has length 5).
 because the shaded region is a rectangle of height 1/5 (by virtue of X following a uniform distribution over the interval [2, 7], which has length 5).
 
        
             
        
        
        
Answer:
x >>>>>>>> f(x)
–9 >>>>>> 10
–7 >>>>>>> 0
0 >>>>>>>> –35
5 >>>>>>>> –60
Step-by-step explanation:
f(x) = –5(x + 7)
1. x = –9, f(x) =? 
f(x) = –5(x + 7)
f(x) = –5(–9 + 7)
f(x) = –5(–2)
f(x) = 10
2. f(x) = 0, x =?
f(x) = –5(x + 7)
0 = –5(x + 7)
Divide both side by –5
0 / –5 = x + 7
0 = x + 7
Collect like terms
x = 0 – 7
x = –7
3. x = 0, f(x) =? 
f(x) = –5(0 + 7)
f(x) = –5(7)
f(x) = –35
4. f(x) = –60, x =?
f(x) = –5(x + 7)
–60 = –5(x + 7)
Divide both side by –5
–60 / –5 = x + 7
12 = x + 7
Collect like terms
x = 12 – 7
x = 5
SUMMARY:
x >>>>>>>> f(x)
–9 >>>>>> 10
–7 >>>>>>> 0
0 >>>>>>>> –35
5 >>>>>>>> –60
 
        
             
        
        
        
Answer:
Yes, 1:3.
Step-by-step explanation:
Each of the numbers on figure 2 are 3 times the number on figure 1.