Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = (x - h)² + k (h, k) are the coordinates of the vertex
Given y = x² + 7x - 5
To express in vertex form use the method of completing the square
add/subtract ( half the coefficient of the x- term )²
y = x² + 2( )x +
-
- 5
y = (x + )² -
-
y = (x + )² -
Hence
a = and b = -
Answer:
Height of the box = 11.5 in
Step-by-step explanation:
Let h be the height of the box.
Assuming the volume of the Box is .
Given:
Length = Height - 4 = h - 4
Width = 3 in
We need to find the height of the box.
Solution:
We know that the volume of the box.
Substitute all given value in above formula.
Rewrite the equation as:
whole equation divided by 3.
Use quadratic formula with
Put these a, b and c value in above equation.
For positive sign
h = 11.5 in
For negative sign
h = -7.5
We take positive value of h.
Therefore, the height of the box h = 11.5 in