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\(y=3x+5\)
\(y=px+8\)
In the given system of equations, \(p\) is a constant. The system has no solution. What is the value of \(p\)?
\((x^3-6x+5)(3x^2+x)\)
If the given expression is rewritten in the form \(ax^5+bx^4+cx^3+dx^2+ex\), where a, b, c, d, and e are constants, what is the value of d?
\(x^2+6x+c=0\)
In the given equation, c is a constant. The equation has exactly two distinct real solutions. Which statement about the value of c must be true?
\(f(x)=a(x-b)(x-c)\)
For the quadratic function \(f\) shown, a, b, and c are constants. For the graph of the \(y=f(x)\) in the xy-plane, the quadratic function \(f\) opens upward, and the coordinates of its vertex are both negative. Which of the following could be true?
One of the factors of \(2x^3+14x^2+24x\) is \(x+b\), where b is a positive constant. What is one possible value of \(b\)?
Which of the following could represent the graph of the linear equation \(y=mx+3\), where \(m\) is a positive constant?