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study help
mathematics
college algebra graphs and models
Questions and Answers of
College Algebra Graphs And Models
The table of values was generated by a graphing utility with a TABLE feature. Use the table to solve Exercises 33–40.For which values of x is Y1 = Y2?
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?D = RT for R
In Exercises 41–46, use the graph to a. Determine the x-intercepts, if any; b. Determine the y-intercepts, if any. For each graph, tick marks along the axes represent one unit each. H y 4 H X
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?I = Prt for P
Fill in each blank so that the resulting statement is true.An equation that is true for all real numbers for which both sides are defined is called a/an________ .
In Exercises 1–16, solve and check each linear equation. 3(x2)+7= 2(x + 5)
In Exercises 1–16, solve and check each linear equation. 13x + 14 = 12x 5
Fill in each blank so that the resulting statement is true.The resulting equation cleared of fractions is____________. 5 x + 4 + 3 x + 3 (x + 4)(x + 3) 12x + 9 (x + 4)(x + 3) 5 x + 4 + = (x + 4)(x +
In Exercises 9–20, find each product and write the result in standard form. -3i(7i - 5)
In Exercises 1–8, add or subtract as indicated and write the result in standard form. 15i (12 11i)
In Exercises 1–12, plot the given point in a rectangular coordinate system.(-4, 0)
In Exercises 1–16, solve and check each linear equation. 7x + 4 = x + 16
You are choosing between two health clubs. Club A offers membership for a fee of $40 plus a monthly fee of $25. Club B offers membership for a fee of $15 plus a monthly fee of $30. After how many
In Exercises 1–8, add or subtract as indicated and write the result in standard form. 8i - (14 - 9i)
A new car worth $45,000 is depreciating in value by $5000 per year.a. Write a formula that models the car’s value, y, in dollars, after x years.b. Use the formula from part (a) to determine after
In Exercises 1–12, plot the given point in a rectangular coordinate system.(3, -2)
In Exercises 1–8, add or subtract as indicated and write the result in standard form. 7- (-9 + 2i) - (-17 - i)
In Exercises 1–16, solve and check each linear equation. 3x + 5 = 2x + 13
A new car worth $24,000 is depreciating in value by $3000 per year.a. Write a formula that models the car’s value, y, in dollars, after x years.b. Use the formula from part (a) to determine after
Despite booming new car sales with their cha-ching sounds, the average age of vehicles on U.S. roads is not going down. The bar graph shows the average price of new cars in the United States and the
In Exercises 1–12, plot the given point in a rectangular coordinate system.(4, -1)
Despite booming new car sales with their cha-ching sounds, the average age of vehicles on U.S. roads is not going down. The bar graph shows the average price of new cars in the United States and the
Fill in each blank so that the resulting statement is true. To solve x2 + 6x = 7 by completing the square, add______ to both sides of the equation.
In Exercises 1–16, solve and check each linear equation. 5x - (2x - 10) = 35
In Exercises 1–16, solve and check each linear equation. 2x 7 = 6 + x
In Exercises 1–8, add or subtract as indicated and write the result in standard form. 6 (−5+ 4i) - (-13 - i) -
Fill in each blank so that the resulting statement is true.The first step in solving IR + Ir = E for I is to obtain a single occurrence of I by I from the two terms on the left_______.
The bar graph shows median yearly earnings of full-time workers in the United States for people 25 years and over with a college education, by final degree earned. Exercises 3–4 are based on the
Fill in each blank so that the resulting statement is true.The x-coordinate of a point where a graph crosses the x-axis is called a/an______ . The y-coordinate of such a point is always________ .
In Exercises 1–12, plot the given point in a rectangular coordinate system.(-4, -2)
The bar graph shows median yearly earnings of full-time workers in the United States for people 25 years and over with a college education, by final degree earned. Exercises 3–4 are based on the
Fill in each blank so that the resulting statement is true.Solving a formula for a variable means rewriting the formula so that the variable is________ .
Fill in each blank so that the resulting statement is true.The conjugate of 2 - 9i is_______ .
In Exercises 1–16, solve and check each linear equation. 11x - (6x - 5) = 40
How will you spend your average life expectancy of 78 years? The bar graph shows the average number of years you will devote to each of your most time-consuming activities. Exercises 1–2 are based
In Exercises 1–8, add or subtract as indicated and write the result in standard form. (-7+ 5i) (-9 - 11i)
Fill in each blank so that the resulting statement is true.The ordered pair (4, 19) is a/an ________ of the equation y = x2 + 3 because when 4 is substituted for x and 19 is substituted for y, we
In Exercises 1–12, plot the given point in a rectangular coordinate system.(-3, -5)
In Exercises 1–8, add or subtract as indicated and write the result in standard form. (3 + 2i) (5 7i) -
In Exercises 1–16, solve and check each linear equation. 6x - 3 = 63 3=
Fill in each blank so that the resulting statement is true.The combined yearly interest for x dollars invested at 12% and 30,000 – x dollars invested at 9% is_______.
In Exercises 1–8, add or subtract as indicated and write the result in standard form. (−2+ 6i) + (4 - i)
Fill in each blank so that the resulting statement is true.The first number in an ordered pair such as (8, 3) is called the_______ . The second number in such an ordered pair is called the________ .
In Exercises 1–12, plot the given point in a rectangular coordinate system.(-1, 4)
In Exercises 1–16, solve and check each linear equation. 7x - 5 = 72
Exercises 17–30 contain linear equations with constants in denominators. Solve each equation. 3x 5 = 2x 3 + 1
Graph each equation in Exercises 13–28. Let x = -3, -2, -1, 0, 1, 2, and 3. y = 2|x|
In Exercises 1–12, plot the given point in a rectangular coordinate system.(-2, 3)
In Exercises 21–28, divide and express the result in standard form. 2 3-i
In Exercises 21–28, divide and express the result in standard form. 3 4 + i
In Exercises 1–8, add or subtract as indicated and write the result in standard form. (7 + 2i) + (1 - 4i)
Exercises 17–30 contain linear equations with constants in denominators. Solve each equation. X 2 = 3x 4 + 5
Fill in each blank so that the resulting statement is true. A text message plan costs $4 per month plus $0.15 per text. The monthly cost for x text messages can be represented by______ .
In Exercises 1–12, plot the given point in a rectangular coordinate system.(2, 5)
Fill in each blank so that the resulting statement is true.In the rectangular coordinate system, the point of intersection of the horizontal axis and the vertical axis is called the______ .
Graph each equation in Exercises 13–28. Let x = -3, -2, -1, 0, 1, 2, and 3. y = -2|x|
Graph each equation in Exercises 13–28. Let x = -3, -2, -1, 0, 1, 2, and 3. y = |x| + 1
In Exercises 1–12, plot the given point in a rectangular coordinate system.(1, 4)
In Exercises 21–28, divide and express the result in standard form. 5i 2-i
In Exercises 21–28, divide and express the result in standard form. 2i 1 + i
Exercises 17–30 contain linear equations with constants in denominators. Solve each equation. 3x 5 = X - X 10 I 5 2
Fill in each blank so that the resulting statement is true.In the rectangular coordinate system, the vertical number line is called the_______ .
Graph each equation in Exercises 13–28. Let x = -3, -2, -1, 0, 1, 2, and 3. y = |x| = 1
You invested $7000 in two accounts paying 6% and 8% annual interest. If the total interest earned for the year was $520, how much was invested at each rate?
In Exercises 21–28, divide and express the result in standard form. si 4 - 3i
Exercises 17–30 contain linear equations with constants in denominators. Solve each equation. x + 3 6 3∞ 8 + X - 5 4
Exercises 17–30 contain linear equations with constants in denominators. Solve each equation. 2x - 2x 7 X 2 + 17 2
Graph each equation in Exercises 13–28. Let x = -3, -2, -1, 0, 1, 2, and 3. y = 9 = x²
You invested $11,000 in two accounts paying 5% and 8% annual interest. If the total interest earned for the year was $730, how much was invested at each rate?
Exercises 17–30 contain linear equations with constants in denominators. Solve each equation. x + 1 4 1 6 12-x 3 +
Graph each equation in Exercises 13–28. Let x = -3, -2, -1, 0, 1, 2, and 3. 2 = -x* y =
Things did not go quite as planned. You invested $8000, part of it in stock that paid 12% annual interest. However, the rest of the money suffered a 5% loss. If the total annual income from both
In Exercises 21–28, divide and express the result in standard form. 2 + 3i 2 +i
Exercises 17–30 contain linear equations with constants in denominators. Solve each equation. X 4 = 2 + x - 3 3
Graph each equation in Exercises 13–28. Let x = -3, -2, -1, 0, 1, 2, and 3. y = x³
In Exercises 21–28, divide and express the result in standard form. 3 - 4i 4 + 3i
Things did not go quite as planned. You invested $12,000, part of it in stock that paid 14% annual interest. However, the rest of the money suffered a 6% loss. If the total annual income from both
Exercises 17–30 contain linear equations with constants in denominators. Solve each equation. 5 + x − 2 3 +∞ x + 3 8
Graph each equation in Exercises 13–28. Let x = -3, -2, -1, 0, 1, 2, and 3. y = x³ - 1
In Exercises 29–44, perform the indicated operations and write the result in standard form. -64 - V-25 V-64
A rectangular soccer field is twice as long as it is wide. If the perimeter of the soccer field is 300 yards, what are its dimensions?
The rectangular painting in the figure shown measures 12 inches by 16 inches and is surrounded by a frame of uniform width around the four edges. The perimeter of the rectangle formed by the painting
Exercises 17–30 contain linear equations with constants in denominators. Solve each equation. x + 1 3 5- x + 2 7
In Exercises 29–32, match the viewing rectangle with the correct figure. Then label the tick marks in the figure to illustrate this viewing rectangle. a. b. d.
A rectangular swimming pool is three times as long as it is wide. If the perimeter of the pool is 320 feet, what are its dimensions?
Exercises 31–50 contain rational equations with variables in denominators. For each equation,a. Write the value or values of the variable that make a denominator zero. These are the restrictions on
The rectangular swimming pool in the figure shown measures 40 feet by 60 feet and is surrounded by a path of uniform width around the four edges. The perimeter of the rectangle formed by the pool and
Exercises 17–30 contain linear equations with constants in denominators. Solve each equation. 3x 5 X x - 3 - *23. 2 x + 2 3
The length of the rectangular tennis court at Wimbledon is 6 feet longer than twice the width. If the court’s perimeter is 228 feet, what are the court’s dimensions?
In Exercises 29–44, perform the indicated operations and write the result in standard form. V-81 - V-144
In Exercises 29–44, perform the indicated operations and write the result in standard form. 5V-163V-81
The length of a rectangular pool is 6 meters less than twice the width. If the pool’s perimeter is 126 meters, what are its dimensions?
In Exercises 29–44, perform the indicated operations and write the result in standard form. 5√-8 + 3V-18
In Exercises 29–32, match the viewing rectangle with the correct figure. Then label the tick marks in the figure to illustrate this viewing rectangle. a. b. d.
An automobile repair shop charged a customer $448, listing $63 for parts and the remainder for labor. If the cost of labor is $35 per hour, how many hours of labor did it take to repair the car?
A repair bill on a sailboat came to $1603, including $532 for parts and the remainder for labor. If the cost of labor is $63 per hour, how many hours of labor did it take to repair the sailboat?
Exercises 31–50 contain rational equations with variables in denominators. For each equation,a. Write the value or values of the variable that make a denominator zero. These are the restrictions on
In Exercises 1–16, solve and check each linear equation. 2(x - 1) + 3 = x − 3(x + 1) -
In Exercises 9–20, find each product and write the result in standard form. -8i(2i - 7)
In Exercises 1–12, plot the given point in a rectangular coordinate system.(0, -3)
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