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college algebra graphs and models
College Algebra 7th Edition Robert F Blitzer - Solutions
In Exercises 63–66, determine whether each statement makes sense or does not make sense, and explain your reasoning.After a 35% reduction, a computer’s price is $780, so I determined the original price, x, by solving x - 0.35 = 780.
In Exercises 61–68, solve each equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 5x + 9 = 9(x + 1) - 4x
Use a graphing utility to verify each of your hand-drawn graphs in Exercises 13–28. Experiment with the settings for the viewing rectangle to make the graph displayed by the graphing utility resemble your hand-drawn graph as much as possible. Let x = -3, -2, -1, 0, 1, 2, and 3.
In Exercises 61–68, solve each equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 4x + 7 = 7(x + 1) - 3x
Solve each equation in Exercises 47–64 by completing the square. 2x²4x10
In Exercises 63–66, determine whether each statement makes sense or does not make sense, and explain your reasoning.I solved the formula for one of its variables, so now I have a numerical value for that variable.
What does a [-20, 2, 1] by [-4, 5, 0.5] viewing rectangle mean?
In Exercises 63–66, determine whether each statement makes sense or does not make sense, and explain your reasoning.I find the hardest part in solving a word problem is writing the equation that models the verbal conditions.
A stand-up comedian uses algebra in some jokes, including one about a telephone recording that announces “You have just reached an imaginary number. Please multiply by i and dial again.” Explain the joke.
Explain why (5, -2) and (-2, 5) do not represent the same point.
A tennis club offers two payment options. Members can pay a monthly fee of $30 plus $5 per hour for court rental time. The second option has no monthly fee, but court time costs $7.50 per hour.a. Write a mathematical model representing total monthly costs for each option for x hours of court rental
Explain how to graph an equation in the rectangular coordinate system.
In Exercises 63–66, determine whether each statement makes sense or does not make sense, and explain your reasoning.By modeling attitudes of college freshmen from 1969 through 2013, I can make precise predictions about the attitudes of the freshman class of 2040.
Use a graphing utility to numerically or graphically verify your work in any one exercise from Exercises 9–12. For assistance on how to do this, refer to the Technology box on page 129.The Technology boxData from Exercise 9You are choosing between two health clubs. Club A offers membership for a
Solve each equation in Exercises 47–64 by completing the square. 4x² 4x1 = 0
In Exercises 57–60, find all values of x such that y = 0. y = 1 5x+5 3 +w + 7 x + 1 5
Solve each equation in Exercises 47–64 by completing the square. 2x² + 5x - 3 = 0
Explain how to divide complex numbers. Provide an example with your explanation.
Solve each equation in Exercises 47–64 by completing the square. 2x²7x + 3 = 0
In Exercises 57–60, find all values of x such that y = 0. У x + 6 3x - 12 5 x - 4 2 3
Explain how to plot a point in the rectangular coordinate system. Give an example with your explanation.
Contrary to popular belief, older people do not need less sleep than younger adults. However, the line graphs show that they awaken more often during the night. The numerous awakenings are one reason why some elderly individuals report that sleep is less restful than it had been in the past. Use
What is the complex conjugate of 2 + 3i? What happens when you multiply this complex number by its complex conjugate?
In Exercises 57–60, find all values of x such that y = 0. y = 2[3x (4x6)] 5(x - 6)
Contrary to popular belief, older people do not need less sleep than younger adults. However, the line graphs show that they awaken more often during the night. The numerous awakenings are one reason why some elderly individuals report that sleep is less restful than it had been in the past. Use
What is the rectangular coordinate system?
In Exercises 57–60, find all values of x such that y = 0. y = 4[x (3x)] −7(x + 1) -
Explain how to multiply complex numbers and give an example.
Did you have difficulties solving some of the problems that were assigned in this Exercise Set? Discuss what you did if this happened to you. Did your course of action enhance your ability to solve algebraic word problems?
a. Use the appropriate line graph to estimate the percentage of seniors who used alcohol in 2014.b. Use the appropriate formula to determine the percentage of seniors who used alcohol in 2014. How does this compare with your estimate in part (a)?c. Use the appropriate line graph to estimate the
In Exercises 51–56, find all values of x satisfying the given conditions. У1 = 2x 1 x² + 2x - 8² 1₂ = Y₁ + y2 = y3. 2 x + 4²/3 = 1 x - 2' and
Contrary to popular belief, older people do not need less sleep than younger adults. However, the line graphs show that they awaken more often during the night. The numerous awakenings are one reason why some elderly individuals report that sleep is less restful than it had been in the past. Use
Solve each equation in Exercises 47–64 by completing the square. x² + 3x1 = 0 2
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? 1 R || 1 R₁ 1 R₂ for R₁
Explain how to add complex numbers. Provide an example with your explanation.
Solve each equation in Exercises 47–64 by completing the square. + 7x 8 = 0
Explain what it means to solve a formula for a variable.
Solve each equation in Exercises 47–64 by completing the square.x2 - 3x - 5 = 0
What is i?
In Exercises 51–56, find all values of x satisfying the given conditions. 5 1/₂ = x + 4²³/2 У1 Y₁ + y2 = y3. 3 x + 3' 39 3¹Y/3 = 12x + 19 x² + 7x + 12' and
Write an original word problem that can be solved using a linear equation. Then solve the problem.
In your own words, describe a step-by-step approach for solving algebraic word problems.
Complex numbers are used in electronics to describe the current in an electric circuit. Ohm’s law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula E = IR. Use this formula to solve Exercises
Complex numbers are used in electronics to describe the current in an electric circuit. Ohm’s law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula E = IR. Use this formula to solve Exercises
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? 1 P 1 q || 1 for f
a. Use the appropriate line graph to estimate the percentage of seniors who used marijuana in 2010.b. Use the appropriate formula to determine the percentage of seniors who used marijuana in 2010. How does this compare with your estimate in part (a)?c. Use the appropriate line graph to estimate the
In Exercises 51–56, find all values of x satisfying the given conditions. У1 x + 1 4 1/₂ x 2 - 200 3 , and y₁ y2 = -4. -
Solve each equation in Exercises 47–64 by completing the square. x² r – 5x + 6 = 0 =
In Exercises 51–54, graph each equation. y = -1 (Le X - (Let x = -2, -1, 2' 1 1 1 3'3' 2' 1, and 2.)
Evaluate for x = 4i. x² + 11 3-x
Solve each equation in Exercises 47–64 by completing the square. x² + 6x 5 = 0
In Exercises 51–56, find all values of x satisfying the given conditions. У1 x - 3 2 5/₂ x-5 4 and y₁ y2 = 1.
Solve each equation in Exercises 47–64 by completing the square. x² + 4x + 1 = 0
In Exercises 51–54, graph each equation. y = 1 - - (Let x -2, -1, = 1 2² 1 1 1 p 3'3' 2 1, and 2.)
In Exercises 51–56, find all values of x satisfying the given conditions. = У1 7(3x - 2) + 5, y2 = 6(2x - 1) + 24, and y1 = y2.
Evaluate for x = 3i. X x² + 19 2-x
Solve each equation in Exercises 47–64 by completing the square. x²2x50
In Exercises 51–56, find all values of x satisfying the given conditions. У1 = 5(2x - 8) - 2, y2 = 5(x - 3) + 3, and y1 = Уг.
In Exercises 51–54, graph each equation. y = -1 (Let x = -3, -2, -1, 0, 1, 2, and 3.)
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? B = F S - V for S
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?A = 2lw + 2lh + 2wh for h
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? S = C 1-r for r
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?IR + Ir = E for I
In Exercises 51–54, graph each equation. y = 5 (Let x = -3, -2, -1, 0, 1, 2, and 3.)
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 variable.b. Keeping the restrictions in mind, solve the equation. 9 x + 3 5 x = 2 -20 x²+x-6 2
Solve each equation in Exercises 47–64 by completing the square. कर 6x – 11 = 0
Solve each equation in Exercises 47–64 by completing the square. x² + 6x = 7
Solve each equation in Exercises 47–64 by completing the square. x² + 4x 4x = 12
Solve each equation in Exercises 47–64 by completing the square. x²2x = 2
Evaluate x2 - 2x + 5 for x = 1 - 2i.
In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. zr X 1 4 X
Solve each equation in Exercises 47–64 by completing the square. x² + 6x = -8
In Exercises 40–45, perform the indicated operations and write the result in standard form. V-75-V-12
Evaluate x2 - 2x + 2 for x = 1 + i.
In Exercises 40–45, perform the indicated operations and write the result in standard form. (2-√-3)²
In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. 2 X 1 -X 3
In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. +zx 4 5 X-
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?S = P + Prt for t
In Exercises 40–45, perform the indicated operations and write the result in standard form. 1 + i 1 - i
In Exercises 40–45, perform the indicated operations and write the result in standard form. (1 + i)(4-3i)
In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x² 2 3 X
A substantial percentage of the United States population is foreign-born. The bar graph shows the percentage of foreign-born Americans for selected years from 1920 through 2014.The percentage, p, of the United States population that was foreign-born x years after 1920 can be modeled by the
In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. X A x2+5r X
In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x6 - 2x
In Exercises 40–45, perform the indicated operations and write the result in standard form. 3i(2 + i)
a. The alligator, at one time an endangered species, was the subject of a protection program. The formulamodels the alligator population, P, after x years of the protection program, where 0 ≤ x ≤ 12. How long did it take the population to reach 5990 alligators?b. The graph of the formula
In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. X xε + zx
In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x² - 7x
In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x²14x
In Exercises 40–45, perform the indicated operations and write the result in standard form. (6 - 2i) - (7 - i)
In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. 2 x² - 10x
In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x² + 16x
Answer the question in the following Peanuts cartoon strip. "A BANANA PEEL WEIGHS 1/8 THE TOTAL WEIGHT OF A BANANA HOW MUCH DOES THE BANANA WEIGH WITH PEEL?" IF AN UNPEELED BANANA BALANCES A PEELED BANANA OF THE SAME WEIGHT PLUS 7/8 OF AN OUNCE..." ABANDON SHIP!! SCHULZ TEPS Used Feature Syndicate,
A vertical pole is supported by three wires. Each wire is 13 yards long and is anchored in the ground 5 yards from the base of the pole. How far up the pole will the wires be attached?
In Exercises 35–36, find the dimensions of each rectangle.The rectangle’s length is 1 foot shorter than twice its width. The area is 28 square feet.
In Exercises 35–36, find the dimensions of each rectangle.The rectangle’s length exceeds twice its width by 5 feet. The perimeter is 46 feet.
The table of values was generated by a graphing utility with a TABLE feature. Use the table to solve Exercises 33–40.Which equation corresponds to Y1 in the table?a. y1 = -3xb. y1 = x2c. y1 = -x2d. y1 = 2 - x -2 -1 0 1 2 3 MHSG7 4 5 6 7 |X=-3 Y₁ 9 4 1 8 1 4 9 16 25 36 SIMHOT in Y2 -2 -4
In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x² + 12x
Solve each equation in Exercises 15–34 by the square root property. (2x + 8)² = 27
You invested $4000. On part of this investment, you earned 4% interest. On the remainder of the investment, you lost 3%. Combining earnings and losses, the annual income from these investments was $55. How much was invested at each rate?
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