A coffee distributor needs to mix a(n) House coffee blend that normally sells for \( \$ 14.10 \) per pound with a Kona coffee blend that normally sells for \( \$ 14.40 \) per pound to create 50 pounds of a coffee that can sell for \( \$ 14.19 \) per pound. How many pounds of each kind of coffee should they mix? Answer: They must mix pounds of the House Blend pound your answers to the nearest whole number of pounds.

1.2 Determine the minimum value of \( \sqrt{3 x^{2}-4 x-2}=0 \) 1.3 If \( f(x)=0 \) has roots \( x=\frac{-5 \pm \sqrt{3-12 k^{2}}}{4} \), for which values of \( k \) will the roots be 1.3.1 equal? 1.3.2 Non real

Find (if any) the local maxima and local minima of \( f(x)=2 x \sqrt{-x+2} \). A local maximum \( -\frac{8 \sqrt{30}}{9} \) at \( x=-\frac{4}{3} \) B local minimum \( \frac{4 \sqrt{6}}{9} \) at \( x=1 \) C local minimum \( \frac{3 \sqrt{6}}{9} \) at \( x=\frac{4}{3} \) D local maximum \( \frac{8 \sqrt{6}}{9} \) at \( x=\frac{4}{4} \)

б) \( \frac{x+3}{x}=\frac{2 x+10}{x-3} \)

\( \begin{array}{ll}\text { g. } & 160 \mathrm{~cm} \times 4= \\ \text { h. } & 0.39 \mathrm{~kg}=390 \mathrm{~g} \\ \text { i. } & 1.3 \mathrm{~kg}-760 \mathrm{~g}= \\ \text { j. } & 10 \mathrm{~kg}+4=\end{array} \)

9. Write the place value of digit 4 in the numbers 3.4012