\[ y=\left(\frac{1}{4}\right)^{x} \] Determine the exact value of \( y \) when \( x=3 \)

15 It is given that \( t=\frac{b^{2}-4}{3-b^{2}} \). Express \( b \) in terms of \( t \)

\( x^{2}-(k+3) x-7=0 \) seja igual a 8

\( f(x)=5 x+6 ; g(x)=3 x-2 \) (h) Find \( \left(\left.\bar{g}\right|^{(1)}\right. \) \( \left(\frac{f}{g}\right)(1)=\square \) (Type an integer or a simplified fraction.)

How much pure acid should be mixed with 2 gallons of a \( 50 \% \) acid solution to get an \( 80 \% \) acid solution?

Complete the square to write \( y=2 x^{2}+12 x-7 \) in graphing form. Then determine the vertex and the intercepts of the parabola. 1