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Find the solutions of the inequality by drawing appropriate graphs. State each answer rounded to two decimals. $$(x+1)^{2}<(x-1)^{2}$$

Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers. (a) \(\left(x^{-5} y^{1 / 3}\right)^{-3 / 5}\) (b) \(\left(2 x^{3} y^{-1 / 4}\right)^{2}\left(8 y^{-3 / 2}\right)^{-1 / 3}\)

Jack, Kay, and Lynn deliver advertising flyers in a small town. If each person works alone, it takesJack 4 h to deliver all the flyers, and it takes Lynn 1 h longer than it takes Kay. Working together, they can deliver all the flyers in 40% of the time it takes Kay working alone. How long does it take Kay to deliver all the flyers alone?

Factor out the common factor. $$-7 x^{4} y^{2}+14 x y^{3}+21 x y^{4}$$

Find the solutions of the inequality by drawing appropriate graphs. State each answer rounded to two decimals. $$(x+1)^{2} \leq x^{3}$$

Make a table of values and sketch the graph of the equation. Find the x- and y-intercepts and test for symmetry. $$y=9-x^{2}$$

Evaluate each expression. (a) \(|\sqrt{5}-5|\) (b) \(|10-\pi|\)

Find all real solutions of the quadratic equation. $$x^{2}+30 x+200=0$$

Simplify the compound fractional expression. $$\frac{x^{-1}+y^{-1}}{(x+y)^{-1}}$$

Some scientists believe that the average surface temperature of the world has been rising steadily. The average surface temperature can be modeled by $$T=0.02 t+15.0$$ where \(T\) is temperature in \(^{\circ} \mathrm{C}\) and \(t\) is years since 1950 (a) What do the slope and \(T\) -intercept represent? (b) Use the equation to predict the average global surface temperature in 2050 .