Answer:
Step-by-step explanation: largest=2x+4
their sum =2x+2x+4=36
4x=36-4=32
x=32/4=8
so the numbers are 2*8,2*8+2,2*8+4
that is 16,18,20
Answer:
b
Step-by-step explanation:
Work:
21x-7y=12
-7y=12-21x
y= -12/7+3x
Point: (1,-3)
y-y1=m (x-x1)
y+3= -12/7 (x-1)
y+3= -12/7x + 12/7
y= -12/7x -9/7
The equation is y= -12/7x- 9/7
Answer:
The population of deer at any given time = 200(e^0.03t) ÷ (1.5 + (e^0.03t))
Step-by-step explanation:
This is an example of logistic equation on population growth
carrying capacity, k = 200
Rate, r = 3% = 0.03
Initial Population, P1 = 80
P(t) =?
P(t) = (P1 (k)(e^rt)) ÷ (k- P1 + P1(e^rt))
P(t) = (80 (200)(e^0.03t)) ÷ (200 - 80 + 80(e^0.03t))
= (16000(e^0.03t)) ÷ (120 + 80(e^0.03t))
= 200(e^0.03t) ÷ (1.5 + (e^0.03t))
base = 5
height = 4
hypotenuse = sqrt ( 5^2 +4^2) = sqrt(25+16) = sqrt(41)
5+4 = 9
so perimeter = 9+ sqrt(41)
answer is the 3rd one.