Answer:
Ques 1:
Let us consider the system of equations,
and 
It is known that 'The intersection points of the graphs of the system of equations are the solutions of the system of equations'.
So, after plotting the given graphs, we see that from the first graph,
The only intersection point is (1,1).
Thus, the solution of the system is x= 1 and y= 1.
Ques 2:
We have the functions, f(x)= 2x+1 and g(x)= 2x^2+1.
Plotting the graphs of both the functions is shown by graph 2, we see that,
The intersection points are (0,1) and (1,3)
Hence, the function have equal values only at x= 0 and x= 1 but not at x= 3.
Matrix dimension 4x4. We put 1 if role is in relation with the collon (role is first number of (a,b), number a, and collone is number b. We have them 4). So, the matrix representation is:
0 0 1 1
0 1 0 0
0 1 0 0
0 0 0 0
Answer:
50
Step-by-step explanation:
The sum of a triangle's angles are 180 so since you know one angle is 80, you would put 2x + 80 = 180, which would be 2x = 100, which simplifies to x = 50
Let y = 0
0 = 2x^2 + 7x + 3
Using the quadratic formula, we get x = -3 and x = -1/2.
A quadratic equation may be expressed in vertex form as:
y = a(x - h)² + k, the vertex being (-h , k)
For option A, the vertices are visibly different. (-4 , 0) and (4 , 0)
For B, the graphs' vertices are the same, (0 , 0).
For C, the vertices (can be obtained by differentiating and putting equal to 0) are (0 , -4) and (0 , 4)
For D, the vertices are (4 , 0) and (0 , 4)
Thus, the answer is B.
