9514 1404 393
Answer:
   y +4 = -5/14(x -7) 
Step-by-step explanation:
The slope can be found using the slope formula:
   m = (y2 -y1)/(x2 -x1)
   m = (1 -(-4))/(-7-7) = 5/-14 = -5/14
The point-slope form is ...
   y -k = m(x -h) . . . . . line with slope m through point (h, k)
Filling in the given values, we have ...
   y +4 = -5/14(x -7)
 
        
             
        
        
        
Step-by-step explanation:
-2x³ + 14x² + 120x
= -2x(x² - 7x - 60)
= -2x(x - 12)(x + 5).
The other 2 dimensions are -2x and (x + 5).
When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.
 
        
             
        
        
        
I’m in highschool and ion even know this.
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
Let the Number of students in the Robotics club be x
So , the number of students in the Science club must be x+12
(Because it is given that the science club have 12 more students.)
Total number of students = 84
So , 
x+(x+12)=84
combining the like terms we get 
2x+12=84
Subtract 12 from both sides 
2x=72
Divide both sides by 2
x=36
So ,
Number of students in the Robotics club = 36
Number of students in the Science club =36+12 = 48