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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.) L = kd4 for h
Solve each inequality, and graph the solution set. 3x² + 10x ≥ 8
Solve each equation or inequality. |3x - 7| ≤ 1
Identify the vertex of each parabola. 8 - (S + x) = (x) f
Solve each equation using the quadratic formula. x(2x - 7) = 3x² + 3
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
Solve each equation. Check the solutions. 2 x + 1 + 3 x + 2 || 7 2
Solve each quadratic equation by the method of your choice.x2 = -12
In 4 hr, Rajeed can travel 15 mi upriver and come back. The rate of the current is 5 mph. Find the rate of the boat in still water.
Solve each quadratic equation by the method of your choice. xV2 = √5x - 2
Solve each equation or inequality. x² - 4x + 3
Identify the vertex of each parabola. f(x) = (x - 2)² + 1
Solve each inequality, and graph the solution set. 4x²9≤0
Solve each equation. Check the solutions. 3x = V16 - 10x −
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. x = 2(y + 3)² - 4
Use the quadratic formula to solve each equation. 2x2 + 3x - 1 = 0
Polk Community College wants to construct a rectangular parking lot on land bordered on one side by a highway. It has 280 ft of fencing that is to be used to fence off the other three sides. What should be the dimensions of the lot if the enclosed area is to be a maximum? What is the maximum area?
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
An object is projected directly upward from the ground. After t seconds its distance in feet above the ground isAfter how many seconds will the object be 128 ft above the ground? s(t) = 144t 16t².
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) = 2 x²
Use the quadratic formula to solve each equation. (2x - 1)(8x 4) = -1 -
Two pieces of a large wooden puzzle fit together to form a rectangle with length 1 cm less than twice the width. The diagonal, where the two pieces meet, is 2.5 cm in length. Find the length and width of the rectangle.
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = (x + 1)² + 2
Bonnie has 100 ft of fencing material to enclose a rectangular exercise run for her dog. One side of the run will border her house, so she will only need to fence three sides. What dimensions will give the enclosure the maximum area? What is the maximum area? 0 t
Solve each inequality, and graph the solution set. 3 2x 1
Solve each inequality, and graph the solution set. 6 x-1
A ball is projected upward from the ground. Its distance in feet from the ground in t seconds is given byAt what times will the ball be 213 ft from the ground? s(t) = 16t² + 128t. -
Solve each equation. Check the solutions. 4t = √8t + 3
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. X= 1 Бу2 + бу - 14 - 2
Two physics students from American River College find that when a bottle of California sparkling wine is shaken several times, held upright, and uncorked, its cork travels according to the functionwhere s is its height in feet above the ground t seconds after being released. After how many seconds
Graph each parabola. Give the vertex, axis of symmetry, domain, and range. 2 f(x) = −²(x + 2)² + 1 3
Use the quadratic formula to solve each equation. (x - 1) (9x 3) = −2
Determine whether a linear function or a quadratic function would be a more appropriate model for each set of graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, tell whether the coefficient of x2 should be positive or negative. Hours per Person per
Solve each equation. Check the solutions. t + Vt = 12
The height (in feet) of a projectile t seconds after being fired from Earth into the air is given byFind the number of seconds required for the projectile to reach maximum height. What is the maximum height? f(t)=16t2 + 160t.
Solve each inequality, and graph the solution set. x - 3 x + 2 IV
The sculpture of American presidents at Mount Rushmore National Memorial is 500 ft above the valley floor. How long would it take a rock dropped from the top of the sculpture to fall to the ground?
A toy rocket is launched from ground level. Its distance in feet from the ground in t seconds is given byAt what times will the rocket be 550 ft from the ground? s(t) = 16t² + 208t. -
Use the quadratic formula to solve each equation. (6x + 1)(x - 2) = (x + 2)(x - 5)
Determine whether a linear function or a quadratic function would be a more appropriate model for each set of graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, tell whether the coefficient of x2 should be positive or negative. Average Daily Volume of
Solve each equation. Check the solutions. p-2√p=8
Solve each inequality, and graph the solution set. m + 4 m + 5 ≥2
Professor Barbu has found that the number of students attending his intermediate algebra class is approximated bywhere x is the number of hours that the Campus Center is open daily. Find the number of hours that the center should be open so that the number of students attending class is a maximum.
Use the quadratic formula to solve each equation. (4x+3)(x - 1) = (x+3)(x-6)
The Gateway Arch in St. Louis, Missouri, is 630 ft tall. How long would it take an object dropped from the top of the arch to fall to the ground?
The following function gives the distance in feet a car going approximately 68 mph will skid in t seconds.Find the time it would take for the car to skid 180 ft. D(t) = 13t² 100t
Solve each equation. Check the solutions. X = 6 - 13x 5
Solve each inequality, and graph the solution set. x - 8 x-4 € 3
Klaus has a taco stand. He has found that his daily costs are approximated bywhere C(x) is the cost, in dollars, to sell x units of tacos. Find the number of units of tacos he should sell to minimize his costs. What is the minimum cost? C(x) = x² 40x + 610,
Solve each inequality, and graph the solution set. (x4) (2x + 3) > 0
Determine whether a linear function or a quadratic function would be a more appropriate model for each set of graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, tell whether the coefficient of x2 should be positive or negative. Spending (in millions of
Mohammad has a frozen yogurt cart. His daily costs are approximated bywhere C(x) is the cost, in dollars, to sell x units of frozen yogurt. Find the number of units of frozen yogurt he must sell to minimize his costs. What is the minimum cost? C(x)=x²70x + 1500,
Find the length and width of a rectangle having a perimeter of 200 m if the area is to be a maximum. What is the maximum area?
Determine whether a linear function or a quadratic function would be a more appropriate model for each set of graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, tell whether the coefficient of x2 should be positive or negative. Percentage (%) U.S.
Solve each equation. Check the solutions. r= 2019r 6
Solve each inequality, and graph the solution set. 2t - 3 t + 1 > 4
Solve each inequality, and graph the solution set. x² + x ≤ 12
Solve each equation. Check the solutions. -X = 8 - 2x 3
Find the discriminant. Use it to determine whether the solutions for each equation areA. Two rational numbers B. One rational numberC. Two irrational numbers D. Two nonreal complex numbers.Tell whether the equation can be solved using the zero-factor property, or if the quadratic formula
Determine whether a linear function or a quadratic function would be a more appropriate model for each set of graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, tell whether the coefficient of x2 should be positive or negative. Percentage (%) High School
Solve each inequality, and graph the solution set. 4k 2k1
Find the discriminant. Use it to determine whether the solutions for each equation areA. Two rational numbers B. One rational numberC. Two irrational numbers D. Two nonreal complex numbers.Tell whether the equation can be solved using the zero-factor property, or if the quadratic formula
A projectile on Earth is fired straight upward so that its distance (in feet) above the ground t seconds after firing is given byFind the maximum height it reaches and the number of seconds it takes to reach that height. s(t) = 16t² + 400t.
Solve each inequality, and graph the solution set. (4x + 3)² ≤ -4
The graph shows how the average retail price (in dollars per gallon) of regular unleaded gasoline in the United States changed between 2009 and 2016. The graph suggests that a quadratic function would be a good fit to the data. The data are approximated by the functionIn the model, x = 0 represents
Solve each equation. Check the solutions. -x= 3x + 7 4
A ball is projected upward from ground level, and its distance in feet from the ground in t seconds is given byAfter how many seconds does the ball reach a height of 425 ft? Interpret the mathematical result here. s(t) = 16t² + 160t.
Determine whether a linear function or a quadratic function would be a more appropriate model for each set of graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, tell whether the coefficient of x2 should be positive or negative. Billions of
Solve each inequality, and graph the solution set. r r+2 < 2r
Solve each inequality, and graph the solution set. 6 2z - 1 < 2
The number of U.S. households (in millions) with cable television service is shown in the table, where x represents the number of years since 2007 and y represents households.(a) Use the ordered pairs (x, y) to make a scatter diagram of the data.(b) Would a linear or a quadratic function better
The graph shows how Social Security trust fund assets are expected to change and suggests that a quadratic function would be a good fit to the data. The data are approximated by the functionIn the model, x = 10 represents 2010, x = 15 represents 2015, and so on, and ƒ(x) is in billions of
Solve each inequality, and graph the solution set. 2x - 3 x² + 1 ≥ 0
Solve each inequality, and graph the solution set. 3t + 4 t-2 VI 1
Find the discriminant. Use it to determine whether the solutions for each equation areA. Two rational numbers B. One rational numberC. Two irrational numbers D. Two nonreal complex numbers.Tell whether the equation can be solved using the zero-factor property, or if the quadratic formula
Solve each inequality, and graph the solution set. 9x - 8 4x² + 25 - 0
Solve each equation. Check the solutions.x4 - 29x2 + 100 = 0
Solve each problem using a quadratic equation. A certain bakery has found that the daily demand for blueberry muffins is 6000/p , where p is the price of a muffin in cents. The daily supply is 3p - 410. Find the price at which supply and demand are equal.
Find the discriminant. Use it to determine whether the solutions for each equation areA. Two rational numbers B. One rational numberC. Two irrational numbers D. Two nonreal complex numbers.Tell whether the equation can be solved using the zero-factor property, or if the quadratic formula
Solve each equation. Check the solutions.x4 - 37x2 + 36 = 0
Find the discriminant. Use it to determine whether the solutions for each equation areA. Two rational numbers B. One rational numberC. Two irrational numbers D. Two nonreal complex numbers.Tell whether the equation can be solved using the zero-factor property, or if the quadratic formula
Solve each equation. Check the solutions.4q4 - 13q2 + 9 = 0
Solve each inequality, and graph the solution set. (3x - 5)² x + 2 >0
Decide whether each function is one-to-one. (a) f(x) = x² +9 (b) 0 X
Determine whether each graph is the graph of a one-to-one function. y 0
Write each fraction as a decimal and a percent. (a) 20 (b) 5 4
Determine whether each graph is the graph of a one-to-one function. X 10 У
Find ƒ-1(x) for the one to one function f(x)=√x +7.
Determine whether each statement of a logarithmic property is true or false. If it is false, correct it by changing the right side of the equation. Xx logb y -= log x - logb y
Find the discriminant. Use it to determine whether the solutions for each equation areA. Two rational numbers B. One rational numberC. Two irrational numbers D. Two nonreal complex numbers.Tell whether the equation can be solved using the zero-factor property, or if the quadratic formula
Which equation defines a one-to-one function? Explain why the others do not, using specific examples. A. f(x) = x C. f(x) = |x| B. f(x) = x² D. f(x) = -x²2 + 2x - 1
Perform the indicated operations. Give answers in lowest terms. (a) 7 10 2 (b) 8 15 4. 2|3
Determine whether common logarithms or natural logarithms would be a better choice to use for solving each equation. Do not actually solve.100.0025x = 75
Match each logarithm in Column I with its corresponding value in Column II. I (a) log4 16 (b) log3 81 (c) log3 (d) log10 0.01 (e) log, V5 (f) log13 1 II A. -2 B. -1 C. 2 D. 0 E. - 2 F. 4
Graph the inverse given the graph of y = ƒ(x). TI -2.10 2.4. "y = f(x) X
Evaluate. log2 128
Choose the correct response.For an exponential function ƒ(x) = ax, if a > 1, then the graph (rises / falls) from left to right.
What is the base in the expression log x?A. x B. 1 C. 10 D. e
Evaluate. log2/3 27 8
Determine whether each statement of a logarithmic property is true or false. If it is false, correct it by changing the right side of the equation. logo xy = log x + logb y
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