Answer:
x = 0
y = -2
Step-by-step explanation:
-5x + y = -2
x = 0
y = -2
-3x + 6y = -12
x = 0
y = -2
Answer:
a) see below
b) 40x20 meters
Step-by-step explanation:
Write down what you know:
- The area of the enclosure is length*width, so

- The length of the fencing is 80 meters, so

Now we have to combine these two equations above, and get rid of y in the process.
First rewrite the second as:

Then substitute for y in the first:

b) To maximize A, find the zero of the first derivative:

So y = (80-40)/2 = 20 meters.
F(x)=x/6+2
There is no restriction upon the values of x, or the values of y.
So the domain and range are both the set of all real numbers.
x=(-oo, +oo) and y=(-oo, +oo)
This can be further seen by the fact that this is a line with a slope of 1/6. So there is no restriction upon x as all values of x produce real values of y. And y approaches -oo as x approaches -oo and y approaches +oo as x approaches +oo.
Answer: X * 1 + Y * 3 + Z * 2 = 45
Step-by-step explanation: we will use bananas, apples and mangoes as the unknowns of the equation.
The value that you multiply to the unknowns will be multiplied by the price that corresponds to it.
These 3 products must be added to result in the total value that is 45.
X * 1 + Y * 3 + Z * 2 = 45
Answer:
Vase volume is 452.16 in³
Step-by-step explanation:
The question asks for the volume of a cylinder of radius r and height h. The relevant formula is V = (pi)(r)^2*h
With h = 9 in and r = 4 in, that max volume (of water) is
V = (3.14)(4 in)^2*(9 in) = 452.`16 in³