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study help
mathematics
college algebra
Intermediate Algebra 13th Edition Margaret Lial, John Hornsby, Terry McGinnis - Solutions
Solve each formula for the specified variable. (Leave ± in the answers as needed.) d = kt² for t
Find the vertex of each parabola. f(x) = x² + 8x + 10
Solve each equation using the quadratic formula. 3x = 9x + 2 2
Solve each quadratic equation by the method of your choice.p2 = 7
Use the quadratic formula to solve each equation. 6x2 + 11x - 10 = 0
Identify the vertex of each parabola. f(x) -x² 3
If k is a negative number, then which one of the following equations will have two nonreal complex solutions? A. x² = 4k B. x² = -4k C. (x + 2)² = -k D. x² + k = 0
The height of the Eiffel Tower is 984 ft. Use Galileo’s formula d = 16t2 (where d is in feet) to find how long it would take a phone dropped from the top of the Eiffel Tower to reach the ground.
Solve each quadratic equation by the method of your choice.6x2 - x - 15 = 0
Use the quadratic formula to solve each equation.8x2 + 10x - 3 = 0
Solve each equation or inequality. -2 x + 5 VI -5
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. (3√x - √5)(2√x + 1)
Simplify each expression. Write answers with positive exponents. Assume that all variables represent positive real numbers. х²у x-3y4 1/3
Perform the indicated operations. Give the answers in standard form. 7 +i 1-i
Multiply or divide as indicated. V-300 V-100
Simplify each expression. Write answers with positive exponents. Assume that all variables represent positive real numbers. 31/2 31/3
Solve each equation. Vk² + 2k + 9 = k + 3
Perform the indicated operations. Give the answers in standard form. (1 + 5i) (3 + i)
Write each radical as an exponential and simplify. Assume that all variables represent positive real numbers. .12
Simplify. Assume that all variables represent positive real numbers. X V25
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 3xVxy² - 2W/8r4y2
Solve. V3x - 8 = x - 2 x-2
Multiply or divide as indicated. -40 V-10
Find each root. -1
Write each radical as an exponential and simplify. Assume that all variables represent positive real numbers. स
Evaluate each exponential. 32-3/5
Solve each equation. Vx² 3x + 3 = x - 1
Answer true or false to each of the following. (a) i² = -1 (b) i = √-1 (c) i = -1 (d) √-3=i√3
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. (4Vp + √7)(√p - 9)
Multiply or divide as indicated. V-75 √3
Simplify each expression. Write answers with positive exponents. Assume that all variables represent positive real numbers. x-2/3,4/5 X-5/3y-2/5
Simplify. Assume that all variables represent positive real numbers. k 100
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 69²59-2940qª
Find each root. 64 81
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. (3√r - Vs)(3√r + √s)
Simplify each expression. Assume that all variables represent positive real numbers. 51/4.57/4
Solve each equation. Vz² + 12z - 4+4-2=0
Simplify. Assume that all variables represent positive real numbers. рб 81
Find each root. 100 9
Evaluate each exponential. 27-4/3
Danielle can ride her bike 4 mph faster than her husband, Richard. If Danielle can ride 48 mi in the same time that Richard can ride 24 mi, what are their rates?
Simplify each expression. Assume that all variables represent positive real numbers. 962/3 96-1/3
Solve each equation. Vx²15x + 15 +5-x=0
Multiply or divide as indicated. V-160 V10
Simplify each expression. Write answers with positive exponents. Assume that all variables represent positive real numbers. x3/42/324 Xx1/3y5/8
Simplify i37.
Simplify. Assume that all variables represent positive real numbers. w10 36
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. (√k + 4√m)(√k − 4√m)
Find each root. -V-64
Evaluate each exponential. 64-3/2
Simplify. Assume that all variables represent positive real numbers.127-2/3
Simplify. Assume that all variables represent positive real numbers. V16x²y. √3x³y
Find each root. - V0.49
Add or subtract as indicated. Give answers in standard form. (-34i) - (-1-4i)
Solve each equation. √3p+ 4√2p - 4 = 2
Write each radical as an exponential and simplify. Leave answers in exponential form. Assume that all variables represent positive real numbers. MAMA
Rationalize each denominator. Assume that all variables represent positive real numbers. 15 √3
Evaluate each exponential. 81-3/2
Add or subtract as indicated. Give answers in standard form. (-4+11i) + (-2-4i) + (7 + 6i)
Fill in the blank with the correct response. Because (4 + 2i) - (3 + i) = 1 + i, using the definition of subtraction we can check this to find that (1 + i) + (3+i)=
Write each exponential as a radical. Assume that all variables represent positive real numbers. Use the definition that takes the root first.5x2/3
Simplify. Assume that all variables represent positive real numbers. V100y7
Simplify. Assume that all variables represent positive real numbers. 10 9
Some equations have nonreal complex solutions. Work Exercises 101-105 in order, to see how these nonreal complex solutions are related.Show that 1 - 5i is a solution of x2 - 2x + 26 = 0.
Some equations have nonreal complex solutions. Work Exercises 101-105 in order, to see how these nonreal complex solutions are related.Show that 1 + 5i is a solution of x2 - 2x + 26 = 0.
Heron’s formula for finding the area A of a triangle with sides a, b, and c iswhere s is the semiperimeter, andConsider the triangle, and work Exercises in order.How do the answers in Exercises 158 and 161 compare?Data from in Exercises 158 and 161Use Heron’s formula to find the area of the
Write each radical as an exponential and simplify. Assume that all variables represent positive real numbers. V116
Multiply or divide as indicated. V-10-√₂
Perform the indicated operations, and express each answer in simplest form. Assume that all variables represent positive real numbers. (6A + EA + 1)(EA - 1)
Perform the indicated operations, and express each answer in simplest form. Assume that all variables represent positive real numbers. V12 V108V/27 -
Solve each equation. √4x + 13 = x + 4
Find each root. V729
Perform the indicated operations. Give the answers in standard form. (-2+5i) (3 + 6i) - 7i
Simplify. Assume that all variables represent positive real numbers. 3 25
Evaluate each exponential. (-8)4/3
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. (tA+ZAZ-+)(ZA + 2)
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 3√x²y - 5√8x²y
Solve each equation. V6x + 7 = x + 2
Solve. 5x(x − 1) = 2(1 − x)
Solve each equation. Vx+4-V1-x = -1
Write each radical as an exponential and simplify. Assume that all variables represent positive real numbers. V7⁹
Multiply or divide as indicated. √5. √-30
Multiply or divide as indicated. V-5. V13
Find each root. 64
Perform the indicated operations, and express each answer in simplest form. Assume that all variables represent positive real numbers. 16x²-54x² + √128x²
Solve each equation. Vx+6=9- 2x
Simplify. Assume that all variables represent positive real numbers. 16 49
Find each root. -256
Perform the indicated operations, and express each answer in simplest form. Assume that all variables represent positive real numbers. 41/2 + 31/2 41/2 - 31/2
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 6V 128m 3V 16m
Solve. 2x² + 11x + 15 = 0
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. (9- EA) (9+EA)
Solve each equation. √3x = x + 3
Write each exponential as a radical. Assume that all variables represent positive real numbers. Use the definition that takes the root first. (3a + b)-5/3
Solve each equation. √5x = √2x-3
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 2V/27x - 2V/8x 21
Multiply or divide as indicated. V-3. VII 11
Find each root. -625
Simplify. Assume that all variables represent positive real numbers. 64 V121
Evaluate each exponential. -323/5
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