Answer: 2z+4/y+7
Step-by-step explanation:
We are trying to solve for x
7x-2z=4-xy
Add xy to both sides:
7x-2z+xy=-xy+4+xy= xy+7x-2z=4
Then you add 2z to both sides:
xy+7x-2z+2z=4+2z
xy+7x=2z+4
Then you factor out variable x
x(y+7)=2z+4
You divide both sides by y+7
x(y+7)/y+7= 2z+4/y+7
Which we would get x=2z+4/y+7
Let us take 'a' in the place of 'y' so the equation becomes
(y+x) (ax+b)
Step-by-step explanation:
<u>Step 1:</u>
(a + x) (ax + b)
<u>Step 2: Proof</u>
Checking polynomial identity.
(ax+b )(x+a) = FOIL
(ax+b)(x+a)
ax^2+a^2x is the First Term in the FOIL
ax^2 + a^2x + bx + ab
(ax+b)(x+a)+bx+ab is the Second Term in the FOIL
Add both expressions together from First and Second Term
= ax^2 + a^2x + bx + ab
<u>Step 3: Proof
</u>
(ax+b)(x+a) = ax^2 + a^2x + bx + ab
Identity is Found
.
Trying with numbers now
(ax+b)(x+a) = ax^2 + a^2x + bx + ab
((2*5)+8)(5+2) =(2*5^2)+(2^2*5)+(8*5)+(2*8)
((10)+8)(7) =(2*25)+(4*5)+(40)+(16)
(18)(7) =(50)+(20)+(56)
126 =126
Answer:
-2
Step-by-step explanation:
The line is going down 2 over 1 making it -2/1
this becomes -2
Answer:
A square
Step-by-step explanation:
Since the base is a square, any plane of the pyramid parallel to the base is shaped like a square (except the very top one which is a point).
Answer:
- 2 and 3 are the the growth rates parameter for x and y respectively
- 16 and 20 are the carrying capacities for x and y respectively
- 2 and 7 measures the benefit to x and y of the interaction of the two species.
The species compete each other.
Step-by-step explanation:
When we have a population model for two species as we have here, the differential equations looks like this:


Here:
a and d are the the growth rates parameter for x and y respectively
N and M are the carrying capacities for x and y respectively
c and f measures the benefit to x and y of the interaction of the two species.
So in our case we have:


Therefore:
- 2 and 3 are the the growth rates parameter for x and y respectively
- 16 and 20 are the carrying capacities for x and y respectively
- 2 and 7 measures the benefit to x and y of the interaction of the two species.
The term xy determine the if the species are cooperating of competing, so in this case have negative xy term in the second equation, it means the presence of either species decreases the rate of change of the other, so the species compete each other.
I hope it helps you!