Y=-2x+2
y=x2-2x+4
is the value of x such that when you plug it into both equations, they both produce the same value of y, or the value of x such that
-2x+2=x2-2x+4
solving this equation----------> x2=-2, taking square root of both sides gives x= ±√2i, or the system has no real solutions but has 2 complex solutions. If you graph both functions in the xy-plane, where x, y are real numbers, you' ll see they do not intersect, which implies there is no real number solutions.
Which of the following lists of ordered pairs is a function? A. (1, 1), (2, 2), (3, 1), (3, 2) B. (–2, 3), (2, 4), (–3, 6), (3,
Elden [556K]
Answer:
b
Step-by-step explanation:
because each object must have one image only
24: 1,2,3,4,6,8,24
36: 1,2,3,4,6,9,12,36
27:1,3,9,27
7:1,7
A=3 b=5 c=2
x = -b +-sq root(b^2 -4*a*c) / 2a
x = [-5 +-sq root(5^2 -4*3*2)] / 6
x = [-5 +-sq root(25 -24)]/6
x = [-5 +- 1] /6
x1 = -1
x2 = -4/6 = -2/3 = -.66666666666666
The first sentence is not true in general. Consider the equation
. There are no solutions. Now consider
. There is only one solution,
.
But whatever. You're asked to demonstrate that
has two solutions (which is true; the right hand side must be a positive integer in order to have two solutions). This follows immediately from the definition of absolute value, which says
So suppose
. Then
Now suppose
. Then
So two solutions to
are
.