Answer:
The equation is:
y= 103 --23d
Step-by-step explanation:
The initial amount was 103 grams.
After one day of use the remaining amount of soap was 80 grams.
So the amount of time he spent in one day was:
Each day Leslie spends 23 grams of soap.
if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:
y= 103 --23d
 
        
             
        
        
        
Answer:
c
Step-by-step explanation:
c appears to be the better description as the line on the left has a solid circle at x = 1 indicating it is defined for x ≤ 1 
While the line on the right has an open circle at x = 1 indicating it is defined for x > 1
Both line segments have a negative slope, thus
y = - 2x + 1 x > 1
y = - x + 2 : x ≤ 1
 
        
             
        
        
        
Answer:
a. about 15.51 miles, rounded to 15.5 miles
b. about 31.02 miles, rounded to 31 miles
Step-by-step explanation:
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
  10           20           40          80             160       320        640
  1280      2560        5120      10240       20480   40960    81920
81920/5280 = 15.51515151, rounded to the nearest tenth of a mile, 15.5 miles
Question b asks for how many miles in total has he ran. That means we have to add each of the values shown above and that equals to 163830 feet.
Divide that by 5280 and that equals 31.02 miles, rounded to the nearest tenth, 31 miles.
  
 
        
             
        
        
        
Answer:
13058.83 cubic inches
Step-by-step explanation:
Given that a rectangular box is having dimensions as 41x81 inches.
Let x be the side of square cut from all the four corners.
The open box made would have height as x and length 41-2x with width 81-2x
Volume = 

Equate first derivative to 0
We get applicable root as x = 8.642
Max volume = 13058.83 cubic inches