V = (-7,-4)
8v would be 8 times both numbers
8v = (8*-7, 8*-4)
8v = (-56, -36)
magnitude = square root( -56^2 + -36^2)
= sqrt(3136 + 1296)
= sqrt(4432 )
= 4 sqrt(277)
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)
Answer:
m=-2
Step-by-step explanation:
As the product of the roots of a quadratic equation is c/a in ax^2+bx+c=0
here a=2, b=+8, c=-m^3
Given c/a=4
-m^3/2=4
-m^3=8
m^3= -8
m=-2.
Because of the social divide in todays pizza slices 10 would be the right answer
Im assuming it has the same amount of air pressure so it wold take roughly double the time. So I would say 44 minutes.
