Landon has some nickels and some dimes. He has at most 25 coins worth a minimum of \( \$ 2 \) combined. If Landon has 17 nickels, determine the minimum number of dimes that he could have.

\( x=3f(x)=\frac{1}{2}x^{2}-\frac{1}{2} \)

1.) Resolver la ecuación: \( \left|\frac{1}{\log _{x}(a)}\right|^{\log _{h}(x)}=b^{2 b} \)

Perform the indicated operations, then simplify. \( \frac{5 y}{y+6}+\frac{7 y^{2}}{y^{2}-36}-\frac{4}{y-6} \) \( \frac{7 y^{2}+5 y-4}{y^{2}+2 y-36} \) \( \frac{12 y^{2}-34 y-24}{(y+6)(y-6)} \) \( \frac{12 y^{2}-34 y+24}{(y-6)(y+6)} \) \( \frac{7 y^{2}+5 y-4}{(y+6)(y-6)} \)

Add. State the sum in simplest form. \( \frac{a^{2}-6}{15 a^{3} b^{2}}+\frac{3}{10 a b^{2}} \) \( 0 \frac{a^{2}-3}{150 a^{4} b^{4}} \) \( \frac{a^{2}-3}{15 a^{3} b^{2}+10 a b^{2}} \) \( 0 \frac{a^{2}-3}{30 a^{3} b^{2}} \) \( \frac{11 a^{2}-12}{30 a^{3} b^{2}} \)

2. Find the value of \( x \) if \( 9^{x+1}=27 \)