Solve the inequality \(\) 2x^2-5x-3 < 0 [/latex] for [latex]x[/latex].

If \( f(x) = x^3 – 3x^2 + 2x \) and \( g(x) = x^2 – x \), what is the value of \( f(2) – g(2) \)?

Given the function \( h(x) = \\\\frac{x+1}{x-2} \), what is the domain of \( h(x) \)?

If \( p(x) = x^2 – 5x + 6 \) and \( q(x) = 2x^2 – 3x – 2 \), for what values of \( x \) is \( p(x) = q(x) \)?

Given \( x^2 – 4x + y^2 – 6y = 12 \), what is the radius of the circle represented by this equation?

A line passes through the points \( (a, b) \) and \( (c, d) \). If \( a + c = 8 \) and \( b + d = 10 \), what is the slope of the line?

If \( f(x) = 2x^2 – 3x + 1 \) and \( g(x) = x^2 + 2x – 5 \), what is the sum of all values of \( x \) for which \( f(x) = g(x) \)?

For what value of \( m \) does the system of equations \( 2x – my = 4 \) and \( mx + 3y = 9 \) have infinitely many solutions?

What is the value of \( k \) if the lines \( y = kx + 5 \) and \( y = 3x + k \) intersect at the point \( (2, 11) \)?

Given the system of equations \( 2x + 3y = 12 \) and \( x^2 + y^2 = 13 \), which point lies on both graphs?