Answer:
12.4
Step-by-step explanation:
 
        
             
        
        
        
Answer:
 (a) 
(b) 
(c) 
Step-by-step explanation:
The formula for calculating the equation of line in point - slope form is given as :
 
 
where m is the slope 
Given from the question :
m = - 4
 = 2
 = 2
 = 6
 = 6
Substituting into the formula , we have :




Therefore : 
(a) the equation of the line in point - slope form is 
(b) to write it in slope - intercept form , we will make y the subject of the formula , which will give : 
(c) the equation of line in standard form is ; 
 
        
             
        
        
        
Answer: $8.95 per yard of fabric
Step-by-step explanation:
Define the following:
x = cost of fabric per yard
Make an equation:
⇒ 3x + 1.25 = 28.10
⇒ 3x = 26.85
⇒ x = 8.95
∴ $8.95 per yard of fabric
 
        
             
        
        
        
Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1.  Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola:  We follow essentially the same approach.  Identify the vertex and the two horizontal intercepts.  They are:
vertex:  (1, 4)
x-intercepts:  (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
                                             0 - 4 = a(3 - 1)^2, or
                                                 -4 = a(2)².  This yields a = -1.
Then the desired equation of the parabola is 
y - 4 = -(x - 1)^2
 
        
             
        
        
        
It would be 5/6 because the denominator Is smaller than 10
can I be brainliest