Let the equation be:
y = ax^2 + bx + c.
Then, substitue the three points into the equation.
First point: 0 = a0^2 + b0 + c.
So c = 0.
Second point: -2 = a(-1)^2 + b(-1) + c.
So a - b + c = -2.
Third point: 6 = a*1^2 + b*1 + c.
So a + b + c = 6.
We know that c=0 already, so we substitute c=0 into the last two equations and we would get:
a - b = -2
a + b = 6
We add the two equations and we get:
2a = 4
a = 2
Then, we substitute a=2 into a-b=-2 and we get:
-b = -4
b = 4
Now we know a = 2, b = 4, and c = 0
Then, the equation of the parabola would be:
2x^2 + 4x
The general equation of second degree is
Ax²+By²+Gx+Fy+C=0 ------1
Now the given conditions are
A=1, B=0, C=0
Now,
putting in eq. 1
x²+Gx+Fy=0
x²+Gx= -Fy
For completing square, add both side (G/2)²
x²+Gx+(G/2)²=-Fy+(G/2)²
(x+G/2)²=-F(y-G²/4F)
Or
X²=-FY where X=x+G/2, Y=y-G²/4F
which is the standard eq. of parabola in XY-coordinate.
Answer:
b. The boundary line of y < 2x - 3 is not a solid line.
Step-by-step explanation:
It's a linear inequality thus its boundary line must be a solid line.
1. You could write it as a rate.
5 movies = 75 movies
25 TV sitcoms = x sitcoms
2. Cross multiply:
5x = 1875
3. Divide
x = 375 TV sitcoms
you could do the same thing for the second question
5 movies = x
25 sitcoms = 50 sitcoms
cross multiply:
25x = 250
divide:
x = 10
Answer:
<h2>x=(2/3)y-4</h2>
Step-by-step explanation:
You mean:
3x - 2y = -12
solve:
3x=2y-12
x=(2y-12)/3
<h2>x=(2/3)y-4</h2>
