\( 1453 \times 272 \) (by rounding each factor to the nearest hundred

Write the expression in the standard form a + bi. \( (11+i)^{2} \) \( (11+i)^{2}= \) \( ( \) Type your answer in the form \( a+b i \).

f. \( (-26 a+10 b)(-3 a-5 b)= \) g. \( \left(\frac{3}{5} X^{3} y+\frac{6}{9} x^{2} y^{3}-\frac{1}{11} X Y^{4} Z\right)\left(-\frac{2}{3} x^{2} y\right)= \) h. \( \left(-15 x^{m+3} y^{2}\right)\left(-3 x^{m+2}+2 x^{m} y-5 x y^{2}\right)= \) 1. \( \left(-2 n^{3}+14 n\right)\left(-8 n^{3}-3+6 n\right)= \) j. \( \left(7 b^{3}-12 b-9\right)\left(-6 b^{2}+8 b-3\right)= \)

Solve the inequality. Express your answer using set notation and interval notation. Graph the solution set. \( -6 \leq 6-4 x \leq 3 \) The solution is expressed in set notation as \( \{x \mid \square\} \) The solution is expressed in interval notation as Choose the correct graph of the solution set below.

A machine is now worth \( \$ 147,200 \) and will be depreciated linearly over a 5-year period, at which time it will be worth \( \$ 84,150 \) as scrap. (a) Find the rule of depreciation function \( f \). (b) What is the domain of \( f \) ? (c) What will the machine be worth in 3 years?

Factor the expression \[ x^{2}+5 x+6 \]