Provide an appropriate response.Given the solutions of a quadratic equation, is it possible to reconstruct the original equation? Why or why not?
What will be an ideal response?
No. Given the solutions of a quadratic equation, it is possible to find an equation equivalent to the original equation but not necessarily expressed in the same form as the original equation. For example, we can find a quadratic equation with solutions -2 and 4.
(x - (-2)) (x - 4) = 0
(x + 2)(x - 4) = 0
x2 - 2x - 8 = 0
Now x2 - 2x - 8 = 0 has solutions -2 and 4. However, the original equation might have been in another form, such as
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Use the theorem that relates the sum of degrees to the number of edges to determine the number of edges in the graph.A graph with 8 vertices, two of degree 2, four of degree 3, and two of degree 1.
A. 3 edges B. 6 edges C. 9 edges D. 18 edges
Solve the problems.Jim drove 280 miles in 8 hours. If he can keep the same pace, how long will it take him to drive 945 miles?
A. 27 hours B. 54 hours C. 37 hours D. 2,240 hours
Find the exact value of the expression.
A.
B.
C.
D. 2
Graph.f(x) = 5x + 2
A.
B.
C.
D.