Answer:
200 messages
Step-by-step explanation:
Let m = number of messages.
Plan A: 0.1m + 40
Plan B: 60
0.1m + 40 = 60
0.1m = 20
m = 20/0.1
m = 200
Answer: 200 messages
Thank you for posting the figure. Without it, I would have thought the parabola has a vertical axis.
For a parabola with a horizontal axis (as in this case), the equation of the parabola is
f(y)=a(y-k)^2+h
where (h,k) is the vertex.
Substituting (h,k)=(2,-4),
f(y)=a(y+4)^2+2...................(1)
as the equation of the parabola, with the value of "a" yet unknown.
Since we are given that the parabola passes through the point (-3,-3), we can substitute the corresponding x,y values in (1) to solve for a.
f(y)=-3=a(-3+4)^2+2
solve for a
a=(-3-2)/(1^2)=-5
So the equation of the parabola is f(y)=-5(y+4)^2+2
Step-by-step explanation:
(◍•ᴗ•◍)❤(◍•ᴗ•◍)❤(◍•ᴗ•◍)❤
Answer:
Option H, 120 units
Step-by-step explanation:
Total rectangle area:
width x length
10 units x 24 units = 240 units
Area of 1 shaded traingle:
A = (height) x (width) / 2
A = (12 units) x (10 units) / 2
A = 120 units / 2
A = 60
Now mutiple A by 2 since we have two shaded regions
60 x 2 = 120
Subtract the entire rectangle area with the shaded area to get the unshdaed area
240 units - 120 units = 120 units
