Answer:
(x,y)=(-1,-4)
Step-by-step explanation:
-4x + y = 0
+4x +4x
y=4x
-5x - 2y = 13
+5x +5x
-2y = 5x+13
-2(4x) = 5x+13
-8x=5x+13
-5x -5x
-13x/-13=13/-13
x=-1
Thus:
y=4x
y=4(-1)
y=-4
Answers are in bold:
-1=3x-2
add 2 to both sides
-1+2=3x-2+2
1=3x
divide both sides by 3
1÷3=3x÷3
1/3=x
-3x=9
divide both sides by -3
-3x÷-3=9÷-3
x=-3
-10=-5x
divide both sides by -5
-10÷-5=-5x÷-5
2=x
I hope this is good enough:
Vertex = (6, 5)
axis of symmetry is line x = 6
A third point in the parabola is (12, 0)
equation using the vertex is y = -a(x - 6)^2 + 5 = -a(x^2 - 12x + 36) + 5 = -ax^2 + 12ax - 36a + 5
since the parabola passes through point (0, 0)
i.e. -36a + 5 = 0
a = 5/36 = 0.139
Therefore, the equation is y = -0.139x^2 + 12(0.139)x = -0.139x^2 + 1.667x
(5,0) and (10,-10) is on the line and (5,0) is not so the answer is (5,0)
The sales person is making 3% so, we would simply multiply $1400 by .03
1400*.03
=$42
They made $42 dollars on a $1400 sale, pretty lousy if you ask me.
