Answer:
Step-by-step explanation:
9 + h = 55/5
9 + h = 11
11 - 9 = h
2 = h
The opposite of addition is subtraction, Subtract 9 from both sides, The opposite of multiplication is division, divide both sides by 5 is the first step, and final answer is h = 2.
Hwong could fill 12 packets of coffee in small boxes:
He has 10 boxes, so 10 x 12 = 120 packets total
Hwong's packets of coffee in the large boxes:
He can fit 50 packets into the boxes, so 120/50 = 2 large boxes and a remaining 20 packets of coffee
Therefore, Hwong can fit 12 packets of coffee to 1 small box and 8 packets to the other small box
Answer:
The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)
Step-by-step explanation:
Focus: F=(3,1)=(xf, yf)→xf=3, yf=1
Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:
f(x)=[1 / (4p)] (x-h)^2+k
where Vertex: V=(h,k)
The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:
Vertex is the midpoint between (3,5) and (3,1):
h=(3+3)/2→h=6/2→h=3
k=(5+1)/2→k=6/2→k=3
Vertex: V=(h,k)→V=(3,3)
p=yf-k→p=1-3→p=-2
Replacing the values in the equation:
f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3
f(x)=[ 1 / (-8) ] (x-3)^2 + 3
f(x)= - (1/8) (x-3)^2 + 3
