Let x, represent the number of minutes and y represents the number of gallons of water in the tub, then the ordered pairs (2, 30) and (5, 12) satisfies the equation.
Therefore the equation is given by: (y - 30)/(x - 2) = (12 - 30)/(5 - 2)
(y - 30)/(x - 2) = -18/3 x = -6
y - 30 =  -6(x - 2) = -6x + 12
y = -6x + 42
Required equation is y + 6x = 42.
        
             
        
        
        
9514 1404 393
Answer:
   (c)  -3/4
Step-by-step explanation:
Subtracting a positive number moves you to the left on the number line. Subtracting a negative number moves you in the opposite direction, to the right.
Here, we start at -2 1/2 = -5/2, and we move 1 3/4 = 7/4 to the right from there. Each mark on this number line is 1/4 unit, so we move 7 marks. The results is ...
   -2 1/2 -(-1 3/4) = -5/2 +7/4
   = -10/4 +7/4 = -3/4
 
        
             
        
        
        
Y = xe^x 
dy/dx(e^x x)=>use the product rule, d/dx(u v) = v*(du)/(dx)+u*(dv)/(dx), where u = e^x and v = x: 
= e^x (d/dx(x))+x (d/dx(e^x)) 
y' = e^x x+ e^x 
y'(0) = 1 => slope of the tangent 
slope of the normal = -1 
y - 0 = -1(x - 0) 
y = -x => normal at origin
        
             
        
        
        
Answer:
Poli (muchas) edro (caras) luego sería muchas caras lo que representas las figuras poliédricas. 
Step-by-step explanation:
La palabra poliedro viene del griego clásico πολύεδρον (polyedron), de la raíz πολύς (polys), «muchas» y de ἕδρα (hedra), «base», «asiento», «cara».