Answer:
( 1/2 ; 1/2 ) and ( 1 ; 2 )
Step-by-step explanation:
y = 2x².............1
y = 3x-1............2
2x²=3x-1
2x²-3x+1 = 0
(2x-1)(x-1) = 0
x = 1/2 or x = 1
y = 1/2 or y = 2
Answer:
As the given equation represents a quadratic function.
Thus,
represents a function.
As we know that the function is just a relation in which each input has only one output.
Thus,
represents a relation and function.
Step-by-step explanation:
Given the equation

As the given equation represents a quadratic function.
Thus,
represents a function.
As we know that the function is just a relation in which each input has only one output.
Thus,
represents a relation and function.
We know that the domain of a function is the set of input or argument values for which the function is real and defined.

We also know that the range of a function is the set of values of the dependent variable for which a function is defined.

The graph is also attached below. From the graph, it is clear that it represents a Parabola.
<h3>
Answer: The solution of the system of equations is (1,7).</h3>
Step-by-step explanation: Given system of equations
y = 5x + 2 and
3x = –y + 10.
Substituting y= 5x+2 in second equation, we get
3x = -(5x+2) +10.
Distributing minus sign in (5x+2), we get
3x= -5x-2+10.
3x = -5x + 8.
Adding 5x on both sides, we get
3x+5x = -5x+5x +8
8x = 8.
Dividing both sides by 8, we get
8x/8 = 8/8
x = 1.
Plugging x=1 in first equation, we get
y = 5(1) +2
y = 5+2=7.
<h3>Therefore, the solution of the system of equations is (1,7).</h3>
A polygon has 18 sides :)