I am good at science. Why do you ask?
:)
Percent sold=sold/original times 100
sold=816
original=850
percent sold=816/850 times 100
percent sold=0.96 times 100
percent sold=96%
Y-k = a(x-h)²; h and k are given vertex(0,3), then
y -3 = a(x-0)²→ y = ax² + 3. From the table we can calculate a:(for x =1, y=2)
2 =a(1²) +3→ 2= a + 3 and a = -1, hence the equation:
y = -x². It's a parabola open downward with a max at (0,3)
y' = - 2x: This is the equation of the tangent with a rate of change = -2
Another way:
For x = 8, y₁'= -16. For x = 9, y₂' = -18
y'₂ - y'₁ = -18 + 16→ rate of change = -2
this means
from x<-2 only graph y=3 but not -2
from -2<=x<2 only graph -x/2+2 but not 2
from x>=2 only graph 2x-3 including 2
the closest graph is the first but its has a mistake, on the middle graph the circle should not be shaded in
The magnitude of the vector is √(7^2+12^2)=√(49+144)=√193
The direction is α=arctan(y/x)=arctan(12/-7)≈-59.74 however this is relative to the negative x-axis so we add 180° to get the standard angle...180-59.74=120.26°
So the vector is √193 @ 120.26°