Answer:
Step-by-step explanation:
(x+y+2)(y+1)
Opening the brackets
xy + x + y^2 + y +2y +2
y^2 +xy + 3y + x +2
Answer:
y = (x - 3)² + 6
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = x² - 6x + 15
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 15
y = (x - 3)² - 9 + 15
y = (x - 3)² + 6 ← in vertex form
Jamie had 32 dollars. She spent half of it (16) at the arcade, left with 16. Then she spent 1/4 of that, (4) leaving her with 12. Then she spent 2$, leaving her with 10. You bacicly do the steps backwards.
1. The correct statement is the first one, which is: <span>Add the two equations, solve for y, and then substitute –1 for y to find x.
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2. Therefore, you have the following system of equations:
<span>
4x+8y=20
-4x+2y= -30
3. When you a</span>dd the two equations, and clear the variable "y", you obtain:
10y=-10
y=-1
4. Now, you must substitute -1 for y (y=-1) to find x, as below:
4x+8y=20
4x+8(-1)=20
4x-8=20
4x=20+8
4x=28
x=28/4
x=7
Plug in x = 2:
Multiply:
Subtract 4 to both sides:
Divide 3 to both sides:
So our solution is
