Answer:
4
Step-by-step explanation:
Answer:
3. (-3,4) x=-3, y=4
Step-by-step explanation:
1. 3x-y=-13
-y=-13-3x
y=13+3x
2. 4x+2y=-4
4x+2(13+3x)=-4
4x+26+6x=-4
10x+26=-4
10x=-4-26
10x=-30
x=-30/10
x=-3
3. y=13+3x
y=13+3(-3)
y=13-9
y=4
Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m
Hi!
The expression would be or be similar to 10 x 4 + 8
Hope this helps !
Answer:
y² + y + 
= (y + 
)²
Step-by-step explanation:
In most cases, we can factor a polynomial, or quadratic, by looking at the factors of the last term. In this case, the last term is . When we factor a polynomial, we are looking for two expressions that when multiplied together using FOIL (forward-outside-inside-last) will give us the polynomial. For example: (a + b)(a + b) or (a+ b)².
In order to get y² + y + , we are looking for a 'c' value that will add up to '1' which is our 'b' value (ay² + by + c).
Since 
Then, we can use as our factor for both expressions. Putting this together we get: (y + )(y + ) or (y + )²
