The y-value of the vertex is positive 3, as shown by the +3 on the right hand side of the equation, and the x-value is -1, from the (x+1)^2 (remember, when the number is inside the brackets, flip the sign) The vertex would be (-1, 3)
If you are looking for a rigorous answer (calculus), we must find the mininum point of the equation: f(x) = (x+1)^2 + 3 f
f'(x) = 2(x+1) = 2x + 2
2x + 2 = 0
x = -1
f(1) = (-1 + 1)^2 + 3
f(1) = 0 + 3 = 3
(-1, 3)
This is a difference of perfect squares which is of the form:
(a^2-b^2)
And which always factors to:
(a-b)(a+b)
In this case:
(5x-8)(5x+8)
G(5) for the sequence g = <span>{(6,3), (-4,2), (5,0)} is 0</span>
The area of the carpet is the amount of space it occupies
- The area of the carpet tile is 256 square inches
- The area covered by 120 tiles is 30720 squares inches
<h3>How to determine the carpet area</h3>
The dimension of the carpet tile is 16 inches by 16 inches
So, the area is:
Evaluate the product
Hence, the area of the carpet tile is 256 square inches
For 120 carpet tiles, the area is:
Hence, the area covered by 120 tiles is 30720 squares inches
Read more about areas at:
brainly.com/question/24487155
Answer:
6,8,
Step-by-step explanation:
