Properties of Exponents and Scientific Notation 11. Simplify. \( \begin{array}{ll}\frac{3 z^{5}}{9 y z} & \text { c. }\left(\frac{7 z^{5}}{y}\right)^{2} \\ \text { b. }\left(2 x \cdot x^{4}\right)^{3} & \text { d. } 3 x^{0}\end{array} \)

The function \( h \) is defined by \( h(x)=4 x+28 \). The graph of \( y=h(x) \) in the \( x y \)-plane has an \( x \)-intercept at \( (a, 0) \) and a \( y \)-intercept at \( (0, b) \), where \( a \) and \( b \) are constants. What is the value of \( a+b \) ?

Round to 4 significant figures. 0.0078311

11. The functions \( f, g \) and \( h \) on the set of real numbers are defined by \( f(x)=x^{2}+1 \), \( g(x)=2 x-3 \) and \( h(x)=4 x+5 \) respec- tively. Determine the formulae for the composite fuctions: \( \begin{array}{ll}\text { (a) } f[g(x)] & \text { (b) } g[f(x)] \\ \text { (c) } f h(x)] & \text { (d) } h[f(x)] \\ \text { (e) } g[h(x)] & \text { (f) } h[g(x)] \\ \text { (g) } f[g\{h(x)\}] & \text { (h) } h[g\{f(x)\}]\end{array} \)

(22) \( 0

29. S'adquirixen 10 kg de prunes per fer melmelada En desossar-les, se'n reduïx en \( 1 / 5 \) el pes. El que queda es cou amb una quantitat igual de sucre, i se'n perd er la cocció \( 1 / 4 \) del pes. Quants quilos de melmelada s'h obtenen?