Question

Помогите пожалуйста!! Срочно!!

Answer 1

● 1)

${9}^{1.5} - {81}^{0.5} - {(0.5)}^{ - 2} = {( {3}^{2}) }^{1.5} - {( {3}^{4}) }^{0.5} - {2}^{2} = {3}^{3} - {3}^{2} - 4 = 27 - 9 - 4 = 14$
● 2)
$\frac{ {x}^{2} + 5x}{2 - 8x} \geqslant 0 \\ {x}^{2} + 5x \geqslant 0 \\ 2 - 8x \ > 0 \\ - - - - - \\ {x}^{2} + 5x \leqslant 0 \\ 2 - 8x < 0 \\ - - - - - \\ x(x + 5) \geqslant 0 \\ x1 \geqslant 0 \\ x + 5 \geqslant 0 \\ x2 \geqslant - 5 \\ - - - - - \\ 2 > 8x \\ x < \frac{2}{8} \\ x3 < \frac{1}{4} \\ - - - - - \\ x4 \leqslant 0 \\ x5 \leqslant - 5 \\ x6 > \frac{1}{4} \\ - - - - - \\ x ∈(- \infty . \: - 5] \: ∪ [0 . \: \frac{1}{4} )$
● 3)

$\frac{1}{2} log_{5}(1 - 3x) = 1 \: \: \: \: \: | \times 2 \\ odz \: \: \: \: \: x \ < \frac{1}{3} \\ log_{5}(1 - 3x) = 2 \\ 1 - 3x = {5}^{2} \\ - 3x = 25 - 1 \\ - 3x = 24 \\ x = - 8 \\ x < \frac{1}{3}$