Answer:
The answer is b= - 5
Step-by-step explanation:
-96 = -6 ( 1 - 3b )
-6 ( 1 - 3b ) = -96

1 - 3b = 16
3b = 16 - 1 = 15
b= 15 : 3 = 5
Answer:
52 sodas
Step-by-step explanation
h=hotdogs
s= sodas
1.5h+.5s=78.5
You know that Emily sold 35 hotdogs so you replace h with 35.
Therefore, 1.5(35)+.5s=78.5
52.5+.5s=78.5
.5s=26
s=52
The vertex form is 
Step-by-step explanation:
The given equation
is a parabola. The vertex of the parabola is of the form
The parameters of the parabola are
and 
The vertex of the x-coordinate is given by 
Thus, substituting the values of a and b in
, we get,

Now, substituting
in
, we get,

Thus, the vertex is 
The equation of parabola to be in vertex form is 
where a is the coefficient of
, h is vertex of the x-coordinate and k is the vertex of the y-coordinate.
Hence,
and 
Thus, substituting the values in the equation of the vertex form,

Hence, the vertex form is 