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mathematics
college algebra graphs and models

Questions and Answers of College Algebra Graphs And Models

Solve the absolute value equation. |2 - 3x = 1
Express each inequality in interval notation. -2≤x≤5
Solve the absolute value equation. |3 - 4x| = 5
Solve the inequality. Write the solution set in set-builder or interval notation. 1
The graphs of two linear functions f and g are shown. Solve each equation or inequality. (a) f(x) = g(x) (b) f(x) > g(x) (c) f(x) = g(x) y=g(x) y = f(x) 12
Express the inequality in interval notation. x > - -3
Solve the inequality. Write the solution set in set-builder or interval notation. -3 (1-2x) + x ≤4 - (x + 2)
Express the inequality in interval notation. x = -2 or x > 3
Solve the linear inequality. Write the solution set in set-builder or interval notation. -2x+6=-3x
Solve the absolute value equation. |6x9|= 0
Express each inequality in interval notation. - r 2 -3
Solve the linear inequality. Write the solution set in set-builder or interval notation. 3x4≤2+x
Solve the absolute value equation. |-6x2] = 0
Solve the linear inequality. Write the solution set in set-builder or interval notation. 2x-5 2 5x + 1 5
Express the inequality in interval notation. x≤4
Graph f. Is f continuous on the interval [-4,4]? (2-x f(x)=x+5 if -4 = x
Express the inequality in interval notation. --2
The graphs of three linear functions f, g, and h with domains D= {x|0 ≤ x ≤ 7} are shown in the figure. Solve each equation or inequality. (a) f(x) = g(x) (b) g(x) = h(x) (c) f(x) < g(x)
Solve the absolute value equation. |-x-4 = 0
Use f(x) to complete the following.(a) Evaluate f at x = -2, -1, 2, and 3. (b) Sketch a graph of f. Is f continuous on its domain? (c) Determine the x-value(s) where f(x) = 3. 8 + 2x if -3 ≤ x
Solve the absolute value equation. |7 - 16x| = 0
Solve the linear inequality. Write the solution set in set-builder or interval notation. -5 (1-x) > 3(x-3) + 1/x
Solve the linear inequality. Write the solution set in set-builder or interval notation. -2≤5-2x < 7
Solve the absolute value equation. |-8.x 11| = -7
Solve the inequality graphically. 2x > x-1
Solve the inequality graphically. -1≤1+x≤2
Solve the absolute value equation. |17x - 6| = -3
Solve the linear inequality. Write the solution set in set-builder or interval notation. -13 3x - 5 -3 3
Solve the absolute value equation. |3-3x - 2 = 2
Solve the absolute value equation. |1.2x1.75 -1 =
Solve the absolute value equation. |4x = 5 + 3 = 2
The graphs of two linear functions f and g are shown in the figure. Solve each equation or inequality. (a) f(x) = g(x) (b) f(x) < g(x) (c) f(x) > g(x) y = f(x) -2-1 21 2 2 y = g(x) 23
Graph f. f(x) = -2x 2x-5 if -3 = x < -1 if -1 ≤ x ≤2 if 2 < x≤ 3
Use the graph, along with the indicated points, to give the solutions to each of the following. (a) f(x) = g(x) (b) f(x) < g(x) (c) f(x) > g(x)
Solve the absolute value equation. |2x9|= 18-3x|
Solve the absolute value equation. |x3|=18x|
Solve the absolute value equation. |4.5 - 2x + 9.7 = 1.1
Solve the absolute value equation. 쉬 = 지
The graphs of f and g are shown. Solve each equation and inequality. (a) f(x) = g(x) (b) f(x) < g(x) (c) f(x) > g(x) 9 - 2 y = g(x) y = f(x) 2 4 6 8 10
Solve the absolute value equation. 1x + 3 = x - 30
The graphs of f and g are shown. Solve each equation and inequality. (a) f(x) = g(x) (b) f(x) = g(x) (c) f(x) = g(x) 5 2 y = g(x) y = f(x)
Solve the absolute value equation. |15x5| = |35 - 5x|
Solve the absolute value equation. |20x40 = 180x - 201
If f(x) = [2x 1], evaluate f(-3.1) and f(2.5).
Use the graph, along with the indicated points, to give the solutions to each of the following. (a) f(x) = g(x) (b) f(x) < g(x) (c) f(x) > g(x)
Use the graph of y = f(x) to solve each equation. (a) f(x) = -1 (b) f(x) = 0 (c) f(x) = 2
In Exercises 1–10, find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is
Fill in each blank so that the resulting statement is true.The graph of y = f(x - 5) is obtained by a/an________ shift of the graph of y = f(x)________ a distance of 5 units.
Fill in each blank so that the resulting statement is true.If two nonvertical lines are perpendicular, then the product of their slopes is________ .
In Exercises 1–10, determine whether each relation is a function.Give the domain and range for each relation. {(4, 5), (6, 7), (8,8)}
In Exercises 1–4, write an equation for line L in point-slope form and slope-intercept form. y = -2x y L (3, 4) L is parallel to y = -2x. X
Fill in each blank so that the resulting statement is true.If a line rises from left to right, the line has________ slope.
In Exercises 1–6, determine whether each relation is a function. Give the domain and range for each relation. 44 y 191 14 X
Solve the equations with rational exponents in Exercises 90–91. 3 3x4 - 24 24 = 0
Solve the equations with rational exponents in Exercises 90–91. 2 alm (x – 7) - = 25
Solve each radical equation in Exercises 88–89. Vx4 + √x + 1 = 5
In Exercises 1–12, use the graph to determinea. Intervals on which the function is increasing, if any.b. Intervals on which the function is decreasing, if any.c. Intervals on which the function is
One possible reason for the explosion of college tuition involves the decrease in government aid per student. In 2001, higher-education revenues per student averaged $8500. The bar graph shows
In Exercises 1–6, determine whether each relation is a function. Give the domain and range for each relation.{(0, 1), (2, 1), (3, 4)}
Evaluate x2 - (xy - y) for x satisfying and y satisfying 5 - y = 7(y + 4) + 1. 13x - 6 4 = 5x + 2
Solve each radical equation in Exercises 88–89. V2x3 + x = 3
Solve each polynomial equation in Exercises 86–87. 2x³x² 18x + 9 = 0
Solve each polynomial equation in Exercises 86–87. 2x4 = 50x² 2
Solve each equation in Exercises 73–81 by the method of your choice. (x + 2)² + 4 = 0
Solve each equation in Exercises 73–81 by the method of your choice. 5 x + 1 X 4 1 2
Solve each equation in Exercises 73–81 by the method of your choice. (x - 3)² - 25 = 0
Solve each equation in Exercises 73–81 by the method of your choice. 3x² - 10x = 8
Solve each equation in Exercises 73–81 by the method of your choice. x²-9=0
Solve each equation in Exercises 73–81 by the method of your choice. 3x² x + 2 = 0 -
A building casts a shadow that is double the height of the building. If the distance from the end of the shadow to the top of the building is 300 meters, how high is the building? Round to the
The formula W = 3t2 models the weight of a human fetus, W, in grams, after t weeks, where 0 ≤ t ≤ 39. After how many weeks does the fetus weigh 588 grams?
In Exercises 32–34, perform the indicated operations and write the result in standard form. (6 - 7i)(2 + 5i)
In Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 5 + x + 3 + 1 x - 2 || 8 x² + x = 6 -
In Exercises 30–31, graph each equation in a rectangular coordinate system. 2 y = x² - 4
In Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 1 x-1 1 x + 1 || 2 x² - 1
In Exercises 1–23, solve each equation or inequality. Other than Φ, use interval notation to express solution sets of inequalities and graph these solution sets on a number line. 2x - 3 4 1² || x
Long before the Supreme Court decision legalizing marriage between people of the same sex, a substantial percentage of Americans were in favor of laws prohibiting interracial marriage. Since 1972,
Write an absolute value inequality for which the interval shown is the solution.a.b. -2 -1 0 1 Solutions lie within 3 units of 4. 2 3 4 5 6 + + 00 7 8 bx
In more U.S. marriages, spouses have different faiths. The bar graph shows the percentage of households with an interfaith marriage in 1988 and 2012. Also shown is the percentage of households in
In more U.S. marriages, spouses have different faiths. The bar graph shows the percentage of households with an interfaith marriage in 1988 and 2012. Also shown is the percentage of households in
In Exercises 150–153, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. (-∞, 3) U (-∞, -2) = (-∞, -2)
In Exercises 122–123, use interval notation to represent all values of x satisfying the given conditions. y₁ = −10 - 3(2x + 1), y₂ = 8x + 1, and y₁ > y₂.
In Exercises 122–123, use interval notation to represent all values of x satisfying the given conditions. y = 3|2x - 5] and y is at least -6.
In Exercises 111–121, solve each inequality. Other than Φ, use interval notation to express solution sets and graph each solution set on a number line. -4x + 2 + 5 ≤ -7
In Exercises 111–121, solve each inequality. Other than Φ, use interval notation to express solution sets and graph each solution set on a number line. |2x + 5 -7 -6 ≥
In Exercises 111–121, solve each inequality. Other than Φ, use interval notation to express solution sets and graph each solution set on a number line. 2x + 6 3 > 2
In Exercises 111–121, solve each inequality. Other than Φ, use interval notation to express solution sets and graph each solution set on a number line. 7 < 2x + 3 ≤9
In Exercises 111–121, solve each inequality. Other than Φ, use interval notation to express solution sets and graph each solution set on a number line. |2x + 3| ≤ 15
A retiree requires an annual income of at least $9000 from an investment paying 7.5% annual interest. How much should the retiree invest to achieve the desired return?
In Exercises 150–153, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.The inequality 3x > 6 is equivalent
In Exercises 111–121, solve each inequality. Other than Φ, use interval notation to express solution sets and graph each solution set on a number line. 3(2x - 1)2(x-4) ≥ 7 + 2(3 + 4x)
In Exercises 111–121, solve each inequality. Other than Φ, use interval notation to express solution sets and graph each solution set on a number line. 5(x2) 3(x + 4) = 2x - 20
Explain why |x|< -4 has no solution.
In Exercises 111–121, solve each inequality. Other than Φ, use interval notation to express solution sets and graph each solution set on a number line. - 1>
In Exercises 111–121, solve each inequality. Other than Φ, use interval notation to express solution sets and graph each solution set on a number line. 6x +5-2(x - 3) - 25
In Exercises 111–121, solve each inequality. Other than Φ, use interval notation to express solution sets and graph each solution set on a number line. -6x + 3 15
In Exercises 107–110, use graphs to find each set. [1, 3) (0,4)
In Exercises 107–110, use graphs to find each set. (-2, 1] U[-1, 3)
In Exercises 111–121, solve each inequality. Other than Φ, use interval notation to express solution sets and graph each solution set on a number line. 6x9-4x - 3
In Exercises 107–110, use graphs to find each set. [1, 3) U (0,4)

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