Write an equation that expresses the following relationship: \( x \) varies directly as \( c \) and inversely as the difference between \( y \) and \( p \). Then solve the equation for \( y \). Write an equation that expresses the given relationship. Use k as the constant of variation. \( x=\square \)

Roger was told to think of a number, add 20 , then divide the result by 3 . The answer was Jower than Roger's original number. Deteruine the range of possible numbers Roger may have originally chosen.

(b) \( \frac{3}{x-1}<\frac{2}{x} \)

In the \( x y \)-plane, a parabola has vertex \( (9,-14) \) and intersects the \( x \)-axis at two points. If the equation of the parabola is written in the form \( y=a x^{2}+b x+c \) where \( a, b \), and \( c \) are constants, which of the following could be the value of \( a+b+c \) ? (A) -23 (B) -19 (D) -12

5.7 Determine the equation of \( h \) if \( h(x)=g(x+1)-2 \)

Diketahui sistem persamaan tinier berikut ini : \[ \begin{array}{l}-1 x+y+2 z=2 \\ 3 x-1 y+z=6 \\ -1 x+3 y+4 z=4\end{array} \] Tentukan solusi persamaan linear tersebut menggunakan metode gauss!