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study help
mathematics
college algebra
Intermediate Algebra 13th Edition Margaret Lial, John Hornsby, Terry McGinnis - Solutions
One solution of 3x2 - 7x + c = 0 is 1/3. Find c and the other solution.
The following exercises are not grouped by type. Solve each equation. V2x + 3 = 2 + √x-2
Solve each equation. Check the solutions.3x2/3 - x1/3 - 24 = 0
Solve each equation. Check the solutions.4x4/3 - 13x2/3 + 9 = 0
The following exercises are not grouped by type. Solve each equation. Vm + 1 = -1 + V2m
Find the value of a, b, or c so that each equation will have exactly one rational solution.9x2 - 30x + c = 0
Solve each equation. Check the solutions.x2/3 + x1/3 - 2 = 0
Solve each equation. Check the solutions. (t + 5)² + 6 = 7(t + 5)
Find the value of a, b, or c so that each equation will have exactly one rational solution.at2 + 24t + 16 = 0
Solve each equation. Check the solutions. 2+ 5 3x - 1 -2 (3x-1)2
In the 1939 classic movie The Wizard of Oz, Ray Bolger’s character, the Scarecrow, wants a brain. When the Wizard grants him his “Th.D.” (Doctor of Thinkology), the Scarecrow replies with the following statement.Scarecrow: The sum of the square roots of any two sides of an isosceles triangle
In the 1939 classic movie The Wizard of Oz, Ray Bolger’s character, the Scarecrow, wants a brain. When the Wizard grants him his “Th.D.” (Doctor of Thinkology), the Scarecrow replies with the following statement.Scarecrow: The sum of the square roots of any two sides of an isosceles triangle
Solve each equation. Check the solutions.9t4/3 - 25t2/3 + 16 = 0
Add or subtract as indicated. Give answers in standard form. (7 + 15i) + (-11 + 14i)
Simplify each expression. Assume that all variables represent positive real numbers. (2/1 + 1)2/11-1
When solving the equation √5x + 6 - √x + 3 = 3, a student wrote the following as his first step.Solve the given equation correctly. (5x+6)+(x+3)=9
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 2√512 + 4√32
Find each root. 64 √27
Multiply or divide as indicated. -V-64 V-16
Simplify each expression. Write answers with positive exponents. Assume that all variables represent positive real numbers. (125x³)-2/3
Simplify each expression. Assume that all variables represent positive real numbers. (a1/3)4 ,2/3 a
Solve each equation. Vr² +9r+15-r-4 = 0
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. (V2y - 5)(4√2y + 1)
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. LXAXT - KX/A €
Evaluate each exponential. 125-2/3 27
Simplify. Assume that all variables represent positive real numbers. V50+ V8
Simplify each expression. Write answers with positive exponents. Assume that all variables represent positive real numbers. (3x-2/3 y 1/2) (-2x5/8y-1/3)
Simplify. Assume that all variables represent positive real numbers. 27 64
Solve each equation. Vm² +3m +12 - m - 2 = 0
Find each root. 4 81 16
Multiply or divide as indicated. -V-100 V-25
Simplify each expression. Assume that all variables represent positive real numbers. y-1/3. y5/6 y
Simplify. Assume that all variables represent positive real numbers. 1 V10-V8
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. (L+26AS) (Z - 26A)
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 2\/m°p6 – 3m²p\/mp2
Evaluate each exponential. 64-2/3 125,
Find each root. 1 √64
Simplify. Assume that all variables represent positive real numbers. 3 216 125
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. (V3x + 2)(V3x - 2)
Add or subtract as indicated. Give answers in standard form. (3 + 2i) + (-4+ 5i)
Simplify each expression. Assume that all variables represent positive real numbers. 2-11-3/5 2-22-1/2x -1
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 2√32a³ +5√2a³
Evaluate each exponential. 16-3/4 81
Simplify. Assume that all variables represent positive real numbers. 3 2 r 8
Find each root. 1 32
Expressin standard form. 6 - 2i 1-i
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 5243x³ + 2√3x³
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. (Vбу - 4)(√бу + 4)
When solving the equation √3x + 4 = 8 - x, a student wrote the following as her first step.3x + 4 = 64 + x2Solve the given equation correctly.
Find each root. --27
Evaluate each exponential. 729-5/6 64
Simplify. Assume that all variables represent positive real numbers. t 125
Find the distance between the points (-4, 4) and (-2, 9).
Solve each equation. Vk+2 – Vk-3=1
A student incorrectly simplified the radical expression 6-4√3 as 21 2V/3.
Add or subtract as indicated. Give answers in standard form. (5-i) + (-5 + i)
Write each radical as an exponential and simplify. Leave answers in exponential form. Assume that all variables represent positive real numbers. Vy. Vy
Simplify. Assume that all variables represent positive real numbers. 18/ x4
Write each radical as an exponential and simplify. Leave answers in exponential form. Assume that all variables represent positive real numbers. Vx³ √x4
A student rationalized the following denominator as shown.Give the correct answer. 5./25/2 5 √/2 √2. √/2 2
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 64xy² + 27x4y5
Add or subtract as indicated. Give answers in standard form. (-2+ 6i) + (26i)
Solve each equation. Vr+6-√r-2=2
Find each root. V0.25
Add or subtract as indicated. Give answers in standard form. (4+ i)(-32i)
Simplify. Assume that all variables represent positive real numbers. 625 34
Solve each equation. V2r + 11 V5r+ 1 = -1
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 625s³t+ 81st5
Write each exponential as a radical. Assume that all variables represent positive real numbers. Use the definition that takes the root first.101/2
Write each radical as an exponential and simplify. Leave answers in exponential form. Assume that all variables represent positive real numbers. Vps 2 p²
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 192st4 -√27s³t
Rationalize each denominator. Assume that all variables represent positive real numbers. 7 √7
Simplify. Assume that all variables represent positive real numbers. 5 1 x15
Write each radical as an exponential and simplify. Leave answers in exponential form. Assume that all variables represent positive real numbers. A
Find each root. V0.36
Write each exponential as a radical. Assume that all variables represent positive real numbers. Use the definition that takes the root first.31/2
Add or subtract as indicated. Give answers in standard form. (9 + i) - (3 + 2i)
Solve each equation. V3x - 2 - Vx+3=1 -2-
Rationalize each denominator. Assume that all variables represent positive real numbers. 11 11
Simplify. Assume that all variables represent positive real numbers. 32 ,20
Write each exponential as a radical. Assume that all variables represent positive real numbers. Use the definition that takes the root first.83/4
Write each exponential as a radical. Assume that all variables represent positive real numbers. Use the definition that takes the root first.72/3
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 125a³b5+125a4b4
Graph each function, and give its domain and range. f(x)=√x-5
Solve each equation. V1 + √24 - 10x = √3x + 5
The product rule does not apply to 31/4 · 21/5. Why?
Rationalize each denominator. Assume that all variables represent positive real numbers. 3√2 V11
Simplify. V72
Perform the indicated operations. Assume that all variables represent positive real numbers. 4√3 2√3 + 3 9
Write each exponential as a radical. Assume that all variables represent positive real numbers. Use the definition that takes the root first.z-4/9
Graph each function, and give its domain and range. f(x)=√x-2
Solve each equation. Vp-1=2
Simplify. Assume that all variables represent positive real numbers. V6. VII 11
Rationalize each denominator. Assume that all variables represent positive real numbers. -7 √48
Write each exponential as a radical. Assume that all variables represent positive real numbers. Use the definition that takes the root first. (2y + x)2/3
Becauseusing the definition of division we can check this to find that -5 2-1 i -2-i,
Simplify. -√32
Perform the indicated operations. Assume that all variables represent positive real numbers. Loola + 18 36
Graph each function, and give its domain and range. f(x) = √x +4
Solve each equation. Vx+8 = 3
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