Simplify each power of i. i²⁵

Determine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these.

$\mid y\mid =-x$

Simplify each power of i. i²⁹

Solve each equation. (x-1)^2/3+(x-1)^1/3 -12 = 0

Evaluate the discriminant for each equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the equation.) See Example 9.

$8x^2-72=0$

Solve each problem. A baseball is hit so that its height, s, in feet after t seconds is s=-16t²+44t+4. For what time period is the ball at least 32 ft above the ground?

Use the method described in Exercises 83–86, if applicable, and properties of absolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 can be solved by inspection.) | x² + 5x + 5 | = 1

Solve each equation. (2x-1)^2/3+2(2x-1)^1/3-3=0

Solve each inequality. Give the solution set using interval notation. x²-3x ≥ 5

Simplify each power of i. i²⁶

Simplify each power of i. i²³

Use the method described in Exercises 83–86, if applicable, and properties of absolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 can be solved by inspection.) | x² - 9 | = x + 3

Solve each equation. (x+5)^2/3+(x+5)^1/3-20=0

Solve each problem. Velocity of an Object The velocity of an object, v, after t seconds is given by v=3t²-18t+24.Find the interval where the velocity is negative.

Simplify each power of i. i²⁷

Solve each inequality. Give the solution set using interval notation. 3x+6 / x-5 > 0

Answer each question. Find the values of a, b, and c for which the quadratic equation. $a{x}^2+bx+c=0$ has the given numbers as solutions. (Hint: Use the zero-factor property in reverse.)

$4,5$

Solve each equation. 4(x+1)⁴-13(x+1)²=-9

Use the method described in Exercises 83–86, if applicable, and properties of absolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 can be solved by inspection.) | 4x² - 23x - 6 | = 0

Answer each question. Find the values of a, b, and c for which the quadratic equation. $a{x}^2+bx+c=0$ has the given numbers as solutions. (Hint: Use the zero-factor property in reverse.)

$-3,2$

Solve each inequality. Give the solution set using interval notation. (x+7) / (2x+1) ≤1

Solve each equation. 6(x+2)⁴-11(x+2)²=-4

Simplify each power of i. i^-13

Use the method described in Exercises 83–86, if applicable, and properties of absolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 can be solved by inspection.) | x² + 1 | - | 2x | = 0

Solve each inequality. Give the solution set using interval notation. $\frac{3x-2}{x}-4>0$

Solve each inequality. Give the solution set using interval notation.

Solve each equation. 8(x-4)⁴-10(x-4)²=-3

Answer each question. Find the values of a, b, and c for which the quadratic equation. ax² + bx + c = 0 has the given numbers as solutions. (Hint: Use the zero-factor property in reverse.) i, -i

Simplify each power of i. i^-14

Use the method described in Exercises 83–86, if applicable, and properties of absolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 can be solved by inspection.)