Factorise \( 6 a+24 b+3 \) \( =\square a+\square b+\square \) Please fill in all the gaps.

What is the slope of the line represented by the equation \(y = -4x + 1\)?

2. What are the next four terms of the sequence \( 4,7,10, \ldots \) poi \( 12,14,16,18 \) \( 14,17,20,23 \) \( 13,17,22,28 \) \( 13,16,19,22 \)

\( \Delta K = \frac { 1 } { 2 } m v _ { 2 } ^ { 2 } - \frac { 1 } { 2 } m v _ { 1 } ^ { 2 } \)

Find the function rule for \( g(x) \). The function \( f(x)=x^{2} \). The graph of \( g(x) \) is \( f(x) \) translated to the right 7 units and up 3 units. What is the function rule for \( g(x)^{\text {? }} \) \[ g(x)=(x+3)^{2}-7 \] o \( g(x)=(x-7)^{2}+3 \) \( g(x)=(x+7)^{2}-3 \) \( g(x)=(x-3)^{2}+7 \)

Consider \( g(x)=5 x-12 \). For what interval(s) is \( g(x) \) positive? negative? positive: \( \left(\frac{12}{5}, \infty\right) \); negative: \( \left(-\infty, \frac{12}{5}\right) \) o positive: \( (-\infty,-12) \); negative: \( (-12, \infty) \) positive: \( (-12, \infty) \); negative: \( (\infty,-12) \) positive: \( \left(-\infty, \frac{5}{12}\right) \); negative: \( \left(\frac{5}{12}, \infty\right) \)