Two different things u can do
Substitution:
X-9y=12
+9y +9y
X=9y+12
-3(9y+12)+9y=36
-27y-36+9y=36
+36 +36
-18y = 72
/-18 /-18
Y = -4
Or whatever this other I’ve is called
-3x-9y=36
-1(X-9y)=(12)-1
-3x-9y=36
-x+9y=-12
-4x=24
X= -6
Answer:
The vertex of the function is (1.333, 4.667)
Step-by-step explanation:
1. Calculate -b / 2a. This is the x-coordinate of the vertex.
2. simply plug -b / 2a into the equation for x and solve for y.

Calculate -b/2a:


This is equal to 1.33 recurring
Plug 8/6 for x and solve for y:



This is equal to 4.66 reccuring.
The value of x such that f(x) = g(x) is x = 3
<h3>Quadratic equation</h3>
Given the following expressions as shown
f(x) = x^3-3x^2+2 and;
g(x) = x^2 -6x+11
Equate the expressions
x^3-3x^2+2 = x^2 -6x+11
Equate to zero
x^3-3x^2-x^2+2-11 = 0
x^3-3x^2-x^2 + 6x - 9 = 0
x^3-4x^2+6x-9 = 0
Factorize
On factorizing the value of x = 3
Hence the value of x such that f(x) = g(x) is x = 3
Learn more on polynomial here: brainly.com/question/2833285
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Answer:
f(x)=x^2+3
f(x+y)=(x+y)^2+3
this is done by replacing x with (x+y)
f(x+y)=x^2+2xy+y^2+3
therefore : f(x+y)= x^2+y^2+2xy+3