H-human a-horse
h+a= 72
2h+4a=192
then do h=72-a
substitute that into the second equation
2(72-a)+4a=192
multiple out
144-2a+4a=192
2a=48
a=24
substitute a into the first equation
h+24=72
h=48
humans- 48
horses- 24
You cross multiply/butterfly method so 5•6= 30 and 5•8=40 so it would be 30/40 OR 3/4 simplified
we will proceed to resolve each case to determine the solution
we have


we know that
If an ordered pair is the solution of the inequality, then it must satisfy the inequality.
<u>case a)</u> 
Substitute the value of x and y in the inequality

-------> is true
so
The ordered pair
is a solution
<u>case b)</u> 
Substitute the value of x and y in the inequality

-------> is False
so
The ordered pair
is not a solution
<u>case c)</u> 
Substitute the value of x and y in the inequality

-------> is False
so
The ordered pair
is not a solution
<u>case d)</u> 
Substitute the value of x and y in the inequality

-------> is True
so
The ordered pair
is a solution
<u>case e)</u> 
Substitute the value of x and y in the inequality

-------> is False
so
The ordered pair
is not a solution
Verify
using a graphing tool
see the attached figure
the solution is the shaded area below the line
The points A and D lies on the shaded area, therefore the ordered pairs A and D are solution of the inequality
Answer:
12.6
Step-by-step explanation:
Given the function, F(x)=20/4+3e−0.2x
Where e is an exponential function,
To get f(3), we need to substitute x = 3 into the given function
F(3) = 20/4 + 3e - 0.2(3)
f(3) = 5 + 3e - 0.6
f(3) = 4.4+3e
Substituting the value of e = 2.718
f(3) = 4.4+3(2.718)
f(3) = 12.554
f(3) = 12.6 to the nearest tenth.
The 3 is distributed to the a+b inside the brackets........