$3.18 when the tax is applied to each bottle separately or at the end of the bill.
-x + 1/2 = x + 4 1/2
+x +x
1/2 = 2x + 4 1/2
-4 1/2 - 4 1/2
-4 = 2x
x = -2
14 + 5(x+3)-7
14 + 5x +15 -7
5x + 22
Answer:
The correct option is;
21 ft
Step-by-step explanation:
The equation of the parabolic arc is as follows;
y = a(x - h)² + k
Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)
We therefore have;
y = a(x - 20)² + 25
Whereby the parabola starts from the origin (0, 0), we have;
0 = a(0 - 20)² + 25
0 = 20²a + 25 → 0 = 400·a + 25
∴a = -25/400 = -1/16
The equation of the parabola is therefore;
To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28
Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;
.
Answer:
Step-by-step explanation:
Forma ordinaria
La ecuación de la parabola de manera ordinaria está dada por:
(1)
Donde:
- (h,k) es la coordenda del vértice, en nuestro caso (0,0) ya que está en el origen.
- (h,k+p) es la coordenda del foco, en nuestro caso (0,1).
Por lo tanto h = 0, k = 0 y p = 1.
Remplazando estos valores en la ecuación de la parábola, tenemos:
(2)
Forma general
La forma general de una parábola esta dada por la siquiente ecuación
Reordenando la ecuación (2) tenemos:
Espero esto te haya ayudado!