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study help
mathematics
college algebra
Intermediate Algebra 13th Edition Margaret Lial, John Hornsby, Terry McGinnis - Solutions
Perform the indicated operations, and express each answer in simplest form. Assume that all variables represent positive real numbers. 3 √5+2
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 6V18-√32+2V/50
Multiply. Assume that all variables represent positive real numbers. V14√3pqr
If n is odd, under what conditions is n√a the following?(a) Positive (b) Negative (c) 0
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x)=1/√(x - 2)² - 3
Solve each inequality, and graph the solution set. 2x + 3 x-5 = 0 VI
Identify the vertex of each parabola. y=-3x² + 4x - 2
Simplify each radical expression. 3 27 16
Solve each equation. Check the solutions. 2 = √52 - 4 V5z
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. x = 4y² + 16y + 11
Simplify each radical expression. 2 √1 - √5
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = (x-3)²-2 4 3
Solve each equation. Check the solutions. 2x = √11x + 3
Solve each inequality, and graph the solution set. 3x + 7 x - 3 50
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. y = 2(x - 2)² - 3
Use the quadratic formula to solve each equation. 4x2 - 4x = -7
Use the quadratic formula to solve each equation. x(3x + 4) = -2
A rectangular piece of sheet metal has a length that is 4 in. less than twice the width. A square piece 2 in. on a side is cut from each corner. The sides are then turned up to form an uncovered box of volume 256 in.3. Find the length and width of the original piece of metal. r I I 2x - 4 I T 1 X
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. 2 f(x) = -2(x + 3)² + 4
Solve each inequality, and graph the solution set. 8 x-2 -≥2
Mariana’s backyard measures 20 m by 30 m. She wants to put a flower garden in the middle of the yard, leaving a strip of grass of uniform width around the flower garden. Mariana must have 184 m2 of grass. Under these conditions, what will the length and width of the garden be?
Use the quadratic formula to solve each equation.9x2 - 6x = -7
Solve each equation. Check the solutions. 4x = √6x + 1
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = 2x² + 8x - 5
Find the pair of numbers whose sum is 40 and whose product is a maximum.
Graph ƒ(x) = 3x2 + 12x + 6. Give the vertex, axis of symmetry, domain, and range.
Solve each equation or inequality. 3 P + 2 1
Solve each formula for the specified variable. (Leave ± in the answers as needed.) V = Tr²h for r
Solve each equation. Check the solutions. 3 2x 1 2(x + 2) = 1
Find the discriminant and use it to predict whether the solutions to each equation areA. Two rational numbers B. One rational numberC. Two irrational numbers D. Two nonreal complex numbers.Tell whether each equation can be solved using the zero-factor property, or the quadratic formula should be
Solve each quadratic equation by the method of your choice. (2x + 3)² = 8
Find the discriminant and use it to predict whether the solutions to each equation areA. Two rational numbers B. One rational numberC. Two irrational numbers D. Two nonreal complex numbers.Tell whether each equation can be solved using the zero-factor property, or the quadratic formula should be
At a point 30 m from the base of a tower, the distance to the top of the tower is 2 m more than twice the height of the tower. Find the height of the tower. 30 m X
Solve each quadratic equation by the method of your choice. 2X + 1 x - 2 || n|n
A rectangular piece of cardboard is 2 in. longer than it is wide. A square piece 3 in. on a side is cut from each corner. The sides are then turned up to form an uncovered box of volume 765 in.3. Find the dimensions of the original piece of cardboard. L- T ? I 3 13 I > x
Find the pair of numbers whose sum is 60 and whose product is a maximum.
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = -2(x - 2)² - 3
Solve each inequality, and graph the solution set. 20 x-1 ≥1
Use the quadratic formula to solve each equation. z(2z + 3) = -2
SolveGive the solution set using interval notation. 4 - 2t 6+t > 0. V
Solve each formula for the specified variable. (Leave ± in the answers as needed.) 1 V ==Tr²h for r 3
Find the discriminant and use it to predict whether the solutions to each equation areA. Two rational numbers B. One rational numberC. Two irrational numbers D. Two nonreal complex numbers.Tell whether each equation can be solved using the zero-factor property, or the quadratic formula should be
Identify the vertex of each parabola. f(x)=(x - 5)² +6
Use the quadratic formula to solve each equation. 2x2 - 2x = 1
Find the vertex of each parabola. For each equation, decide whether the graph opens up, down, to the left, or to the right, and whether it is wider, narrower, or the same shape as the graph of y = x2. If it is a parabola with a vertical axis of symmetry, find the discriminant and use it to
Qihong paddled a canoe 10 mi upstream and then paddled back to the starting point. If the rate of the current was 3 mph and the entire trip took 3 1/2 hr, what was Qihong’s rate?
The percent of the U.S. population that was foreign-born during the years 1930–2010 can be modeled by the quadratic functionwhere x = 0 represents 1930, x = 10 represents 1940, and so on.(a) The coefficient of x2 in the model is positive, so the graph of this quadratic function is a parabola that
Solve each quadratic equation by the method of your choice.x4 - 10x2 + 9 = 0
Solve each equation. Check the solutions. 4 3-p + 2 5-P || 26 15
Solve each inequality, and graph the solution set. 9x²25 ≤ 0
Use the quadratic formula to solve each equation.9x2 + 6x = 1
Endre has a pool 24 ft long and 10 ft wide. He wants to construct a concrete walk around the pool. If he plans for the walk to be of uniform width and cover 152 ft2, what will the width of the walk be? Pool
Solve each inequality, and graph the solution set. 6x² + x ≥ 1
Solve each formula for the specified variable. (Leave ± in the answers as needed.) At2 + Bt-C for t
Graph each relation. Decide whether or not y can be expressed as a function f of x, and if so, give its domain and range, and write using function notation.4x - 5y = 15
Use the quadratic formula to solve each equation. x2 + 18 = 10x
Find the vertex of each parabola. For each equation, decide whether the graph opens up, down, to the left, or to the right, and whether it is wider, narrower, or the same shape as the graph of y = x2. If it is a parabola with a vertical axis of symmetry, find the discriminant and use it to
For each quadratic function, tell whether the graph opens up or down and whether the graph is wider, narrower, or the same shape as the graph of ƒ(x) = x2. f(x) = -2x²
Solve each equation. Check the solutions. 4 3x 1 2(x + 1) = 1
Solve each inequality, and graph the solution set. 4x² + 7x = -3
Solve each formula for the specified variable. (Leave ± in the answers as needed.) S = 2πrh + πr² for r
Graph each relation. Decide whether or not y can be expressed as a function f of x, and if so, give its domain and range, and write using function notation.4x - 5y < 15
Find the discriminant and use it to predict whether the solutions to each equation areA. Two rational numbers B. One rational numberC. Two irrational numbers D. Two nonreal complex numbers.Tell whether each equation can be solved using the zero-factor property, or the quadratic formula should be
Use the quadratic formula to solve each equation. x2 - 4 = 2x
Match each equation with its graph in choices A–F. A. D. B. E. C. F. X
Find the vertex of each parabola. For each equation, decide whether the graph opens up, down, to the left, or to the right, and whether it is wider, narrower, or the same shape as the graph of y = x2. If it is a parabola with a vertical axis of symmetry, find the discriminant and use it to
For each quadratic function, tell whether the graph opens up or down and whether the graph is wider, narrower, or the same shape as the graph of ƒ(x) = x2. f(x) = 3x² + 1
Which one of the following figures most closely resembles the graph of A. C. ㅇ f(x) = a(x - h)2 + kif a < 0, h > 0, and k < 0? B. 4 D. iv X
Solve each equation. Check the solutions. 3 = 1 t + 2 2 (t + 2)² +.
Solve each inequality, and graph the solution set. z²2-4z = 0
Solve each quadratic equation by the method of your choice.t4 + 14 = 9t2
Graph each relation. Decide whether or not y can be expressed as a function f of x, and if so, give its domain and range, and write using function notation. y = -2(x - 1)² +3
Solve each formula for the specified variable. (Leave ± in the answers as needed.) D = Vkh for h
Use the quadratic formula to solve each equation. 4x2 + 4x - 1 = 0
Match each equation with its graph in choices A–F. A. D. B. E. C. F. X
Solve each equation. Check the solutions. 15 X = 2x 1
For each quadratic function, tell whether the graph opens up or down and whether the graph is wider, narrower, or the same shape as the graph of ƒ(x) = x2. 2 f(x) = ²x² – - 4 3
Graph each parabola. Identify the vertex, axis of symmetry, domain, and range. 1 f(x) == x². -2 2
Solve each equation. Check the solutions. 1 + 2 3z + 2 15 (3z + 2)²
Solve each inequality, and graph the solution set. x² + 2x < 0 V
Solve each quadratic equation by the method of your choice.8x2 - 4x = 2
Solve each formula for the specified variable. (Leave ± in the answers as needed.) F = k Va d for d
Solve each equation. Check the solutions. 1 + n 2 n+1 = 2
Solve each equation. Check the solutions. 1 1 2x + 1 1 (2x + 1)² = 0
Solve each inequality, and graph the solution set. x² - 6x + 60
Solve each system of equations. 2x - 4y = 10 9x + 3y = 3
Solve each equation for the specified variable. (Leave ± in the answers.) P E²R (r + R)² for R (where E > 0)
Use the quadratic formula to solve each equation. x² 4 X 2 || 1
Match each equation with its graph in choices A–F. A. D. B. E. C. F. X
Solve each equation. Check the solutions. 2x2/3x1/3-28 = 0
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. 1 f(x) = = x² 2
Solve each quadratic equation by the method of your choice. X- x - 7A = EAX
Solve each equation. Check the solutions. 1 1 3x - 2 1 (3x - 2)² = 0
Solve each inequality, and graph the solution set. 2x² + 7x > 15
Solve each inequality, and graph the solution set. 3x2 - 6x + 2 ≤0
Solve each equation for the specified variable. (Leave ± in the answers.) S(65t) = 1² for S
Use the quadratic formula to solve each equation. p² + P 3 1 6
Solve each system of equations. x + 2y = 5 4y = -2x + 8
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = -2x²
Solve each equation. Check the solutions. p4 - 10p² + 9 = 0
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