Yes, for every value of x, there is only one value of y. This means that y is a function of x.
Answer:
Option 4 : 
Step-by-step explanation:
<u>See the attached figure:</u>
To find the vertices of the feasible region, we need to graph the constraints, then find the area included by them, then calculate the vertices which is the intersection between each two of them.
As shown, the shaded area represents the solution of the constraints
So, the vertices of the feasible region are:

Answer:
1) 5
2) 5
Step-by-step explanation:
Data provided in the question:
(3²⁷)(5¹⁰)(z) = (5⁸)(9¹⁴)(
)
Now,
on simplifying the above equation
⇒ (3²⁷)(5¹⁰)(z) = (5⁸)((3²)¹⁴)(
)
or
⇒ (3²⁷)(5¹⁰)(z) = (5⁸)(3²⁸)(
)
or
⇒ 
or
⇒
or
⇒
we can say
x = 5, y = 2 and, z = 3
Now,
(1) y is prime
since, 2 is a prime number,
we can have
x = 5
2) x is prime
since 5 is also a prime number
therefore,
x = 5
Answer: 3.2 tons
Step-by-step explanation:
We know that 1 ton = 2000 pound
Then , 
Given : Mustafa’s horse ate 6,400 pounds of hay last year.
Then, the number of tons of hay his horse ate last year is given by :-

Therefore, the number of tons of hay his horse ate last year = 3.2 tons
X would equal 6 because 3/10=6/20. And 6/20 simplifies to 3/10