Answer:
45 premium tickets were sold
Step-by-step explanation:
p = premium
d = deluxe
r = regular
p+d+r = 273
6p+4d + 2r = 836
118+d = r
Replace r with 118+d
p+d+118+d = 273
p +2d = 273-118
p+2d = 155
6p+4d + 2(118+d) = 836
6p+4d + 236+2d = 836
6p +6d = 836-236
6p + 6d = 600
Divide by 6
p+d = 100
d = 100-p
Replace d in p +2d= 155
p +2(100-p) = 155
p+200-2p = 155
-p = 155-200
-p =-45
p =45
45 premium tickets were sold
For this case we have the following equation:
f (x) = x ^ 2 + bx-49
Deriving we have:
f '(x) = 2x + b
We match zero:
0 = 2x + b
We clear x:
x = -b / 2
The axis of symmetry is at x = 8, therefore:
x = -b / 2 = 8
Clearing b:
b = -2 * (8)
b = -16
Answer:
the value of b is:
b = -16
Answer:
Y=(-1/2)x+9/2
Step-by-step explanation:
For straight lines y=mx+c
m=gradient
Find the gradient first-m=(y2-y1) /(x2-x1)
Take the points M and N and substitute in the equation
m=(5-2)/(-1-5)
m=-1/2
Gradient of line MN×gradient of perp line =-1
There fore gradient of perp line =2
The answer is 5. I hope that helps.
Answer:
A
Step-by-step explanation:
Let's assume the first pool to have dimensions 3.0 by 2.0
The second pool being 2.1 times the first will have dimensions 6.3 * 4.2
The area of the first pool is 6.0 and that of the second is 26.46
making the area of the second pool 4.41 times that of the first.
