0
14
Aglae Pacocha
Wiki User
∙ 11y agoThere are an infinite number of values that can be given for x and y to fit this equation. If you're looking to find out where it intercepts the x-axis, you can do so by solving for y = 0:
x2 - x - 12 = 0
(x - 4)(x + 3) = 0
x ∈ {-3, 4}
If you want to solve for when it intercepts the y-axis, then let x = 0:
y = 02 - 0 - 12
y = -12
If you want to find it's vertex, then you can do this a couple of ways. One would be to find it's derivative and solve for 0:
dy/dx = 2x - 1
0 = 2x - 1
2x = 1
x = 0.5
Now plug that back into the original equation to get the y co-ordinate:
y = 2(0.5) - 0.5 - 12
y = 1 - 0.5 - 12
y = -11.5
So the vertex is at the point (0.5, 11.5).
Add your answer:
Earn +20 pts
How many solutions does 2x-y equals 8 and x plus y equals 1 have?
2x - y = 8 x + y = 1 These are your two equations. They will have two solutions since you have two variables. The solutions are x=3 and y=-2
How many solutions does x equals y and y equals x have?
Infinitely many: they are the same line!
How many solutions are there with x equals 8 and y equals 5?
1
How many solutions does the linear system -8x plus 2y equals 6 and -4x plus y equals 3 have?
Two solutions and they are:- x = 0 and y = 3
What are the solutions to the simultaneous equations of x squared plus y squared equals 20 and 2y minus x equals 0?
The solutions are: x = 4, y = 2 and x = -4, y = -2
How many solutions does 2x-y equals 8 and x plus y equals 1 have?
2x - y = 8 x + y = 1 These are your two equations. They will have two solutions since you have two variables. The solutions are x=3 and y=-2
How many solutions does x equals y and y equals x have?
Infinitely many: they are the same line!
What are 3 real rational solutions to this system of equations z equals x squared y equals z squared x equals y squared?
The two rational solutions are (0,0,0) and (1,1,1). There are no other real solutions.
How many solutions are there with x equals 8 and y equals 5?
1
How many solutions does the following system have x plus y equals 3 and 2x plus y equals 5?
It has 2 solutions and they are x = 2 and y = 1 which are applicable to both equations
How many solutions does the linear system -8x plus 2y equals 6 and -4x plus y equals 3 have?
Two solutions and they are:- x = 0 and y = 3
What are the solutions to the simultaneous equations of x squared plus y squared equals 20 and 2y minus x equals 0?
The solutions are: x = 4, y = 2 and x = -4, y = -2
How many solutions does x plus y equals 4 y equals -x-4?
0
How many solutions do these equations have x equals y plus 1 y equals x plus 1?
1
X plus Y equals 6 wITHOUT GRAphing does system have one solution or no solution or infinite number of solutions X plus Y equals 9?
[x + y = 6] has an infinite number of solutions.
What are the solutions to the equations 7x-4y equals 13 and 2x-5y equals -4?
It works out that the solutions are: x = 3 and y = 2
How do you write a equation with x equals 2 and y equals 10?
There are a number of possible solutions which will have x=2 and y = 10 as solutions but many of them will also allow other solutions. One possibility, with a unique solution, is (x-2)2 + (y-10)2 = 0
