By completing the square: x²-8x+19 = (x-4)²-16+19 = (x-4)²+3 so minimum point = (4,3)
By calculus: f'(x) = 2x-8. (minimum point occurs when f'(x)=0 therefore)
2x-8 = 0 means x=4 and the corresponding y value is 3.
The minimum value of this function (y) is 3 and this occurs when x = 4.
Answer:
85 square inches
Step-by-step explanation:
The surface area is the area of all the sides and the bottom
The area of the bottom is
A = s^2 since it is a square
A = 5^2 = 25 in^2
The sides are triangles
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 5)(6)
A = 15 in^2
We have 4 sides
The area of the 4 sides
4*15 = 60 in^2
Add the area of the side to the bottom
25+60 = 85 in^2
Answer:
f(x)=x-2x+3; f(x)=-bx
x-2x=3=-bx
x+4x+3=0
(x+3) (x+1) = 0
x=-3 or x=-1
when x+-3. f(x)=b x(-3)=18
x=-1. f(x) = - b x (-1) = b
so system of equations : ( -3, -18)
; (-),b
Step-by-step explanation:
hope it helps
X is equal to 2. put 2 in for X and try to solve it
42.5, just need to multiply
