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Math·Advanced Math·Nonlinear equations in one variable and systems of equations in two variables

hard

$$\begin{gathered} y=-3x^2-40 \\ y=qx-37 \end{gathered}$$

In the given system of equations, $q$ is a positive constant. The graphs of the equations in the given system intersect at exactly one point, $(x,y)$, in the $xy$-plane. What is the value of $x$?

A

-77

B

-43

C

-6

D

-1