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College Algebra 7th Edition Robert F Blitzer - Solutions
Solve each equation in Exercises 96–102 by the method of your choice. x² + 3x² - 2x - 6 = 0
Solve each equation in Exercises 96–102 by the method of your choice. √2x + 3x = 0
Solve each equation in Exercises 96–102 by the method of your choice. |2x 5 3 = 0
Solve the equations containing absolute value in Exercises 94–95. 2x 3 6 10 =
Solve each equation in Exercises 96–102 by the method of your choice. 2√x – 1= x
Solve each equation in Exercises 96–102 by the method of your choice. 3x3 5x3 + 2 = 0
Solve each equation in Exercises 68–70 using the quadratic formula. 2x² = 3 - 4x
Solve the equations containing absolute value in Exercises 94–95. |2x + 1 = 7
Solve each equation in Exercises 92–93 by making an appropriate substitution. 1 x² + 3x² - 10 = 0
Solve each equation in Exercises 92–93 by making an appropriate substitution. x4 — + 5x2 + 4 = 0
Solve each equation in Exercises 73–81 by the method of your choice. 3x²7x + 1 = 0
Solve each equation in Exercises 73–81 by the method of your choice. (3x + 5)(x 3) = 5
Solve each equation in Exercises 73–81 by the method of your choice. 2x² 11x + 5 = 0
In Exercises 71–72, without solving the given quadratic equation, determine the number and type of solutions. 9x² = 2 - 3x
In Exercises 71–72, without solving the given quadratic equation, determine the number and type of solutions. x² - 4x + 13 = 0
Solve each equation in Exercises 66–67 by completing the square. 3x² 12x + 11 = 0
Solve each equation in Exercises 68–70 using the quadratic formula. x² - 2x + 19 = 0
Solve each equation in Exercises 68–70 using the quadratic formula. X x² = 2x + 4
In Exercises 59–94, solve each absolute value inequality. |3(x - 1)| 4 < 6
Solve each equation in Exercises 66–67 by completing the square. x² 12x + 27 = 0
In Exercises 1–4, write an equation for line L in point-slope form and slope-intercept form. HED y y = 2x L L is parallel to y = 2x. (4,2) X
In Exercises 1–10, determine whether each relation is a function.Give the domain and range for each relation. {(1, 2), (3, 4), (5,5)}
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 horizontal, or is vertical. (4,7) and (8, 10)
Exercises 157–159 will help you prepare for the material covered in the first section of the next chapter.Here are two sets of ordered pairs:In which set is each x-coordinate paired with only one y-coordinate? set 1: {(1, 5), (2, 5)} set 2: {(5, 1), (5,2)).
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 constant, if any. -3- y -3- 2- ·1· دنا IIIIIIID |--H X
Fill in each blank so that the resulting statement is true.If two nonvertical lines are parallel, then they have________ slope.
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.
In Exercises 1–6, determine whether each relation is a function. Give the domain and range for each relation.{(2, 6), (1, 4), (2, -6)}
Fill in each blank so that the resulting statement is true.Any set of ordered pairs is called a/an______ . The set of all first components of the ordered pairs is called the______ . The set of all second components of the ordered pairs is called the______ .
Fill in each blank so that the resulting statement is true.Data presented in a visual form as a set of points is called a/an______ . A line that best fits this set of points is called a/an_______ line.
Fill in each blank so that the resulting statement is true.Assume that f is a function defined on an open interval I and x1 and x2 are any elements in the interval I.f is increasing on I if f(x1)_______ when x1 < x2.f is decreasing on I if f(x1)_______ when x1 < x2.f is constant on I if
In Exercises 146–149, determine whether each statement makes sense or does not make sense, and explain your reasoning.I’ll win the contest if I can complete the crossword puzzle in 20 minutes plus or minus 5 minutes, so my winning time, x, is modeled by |x - 20 ≤ 5.
Describe the solution set of |x| > -4.
Exercises 157–159 will help you prepare for the material covered in the first section of the next chapter.Graph y = 2x and y = 2x + 4 in the same rectangular coordinate system. Select integers for x, starting with -2 and ending with 2.
In Exercises 59–94, solve each absolute value inequality. |3(x-1) + 2 = 20
In Exercises 64–65, 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 + 20x 2
In Exercises 64–65, 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 - 3x
Solve each equation in Exercises 60–63 by the square root property. (3x 4)² = 18 -
Solve each equation in Exercises 60–63 by the square root property. (x + 3)² = -10
Solve each equation in Exercises 60–63 by the square root property. 2 + 5 = -3
Solve each equation in Exercises 60–63 by the square root property. 2x² 3 = 125
Solve each equation in Exercises 58–59 by factoring. 5x² + 20x = 0
Solve each equation in Exercises 58–59 by factoring. 2x² + 15x = 8
In Exercises 48–57, perform the indicated operations and write the result in standard form. 4 + V-8 2
In Exercises 48–57, perform the indicated operations and write the result in standard form. V-32 - V-18
In Exercises 48–57, perform the indicated operations and write the result in standard form. (-2+ -2 + V-100) ²
In Exercises 48–57, perform the indicated operations and write the result in standard form. 6 5 + i
In Exercises 48–57, perform the indicated operations and write the result in standard form. 3 + 4i 4 - 2i
In Exercises 48–57, perform the indicated operations and write the result in standard form. (3 - 4i)² 2
In Exercises 48–57, perform the indicated operations and write the result in standard form. (7 - i)(2 + 3i)
In Exercises 48–57, perform the indicated operations and write the result in standard form. (7 + 8i)(7 - 8i)
In Exercises 48–57, perform the indicated operations and write the result in standard form. 4i(3i - 2)
In Exercises 48–57, perform the indicated operations and write the result in standard form. (8 3i) (17 - 7i)
In 2015, there were 14,100 students at college A, with a projected enrollment increase of 1500 students per year. In the same year, there were 41,700 students at college B, with a projected enrollment decline of 800 students per year.a. Let x represent the number of years after 2015. Write, but do
In Exercises 45–47, solve each formula for the specified variable. T = gr + gut for g
In Exercises 45–47, solve each formula for the specified variable. T= A - P Pr - for P
In Exercises 45–47, solve each formula for the specified variable. vt + gt² = s for g
You are choosing between two texting plans. Plan A charges $25 per month for unlimited texting. Plan B has a monthly fee of $13 with a charge of $0.06 per text. How many text messages in a month make plan A the better deal?
The costs for two different kinds of heating systems for a small home are given in the following table. After how many years will total costs for solar heating and electric heating be the same? What will be the cost at that time? System Solar Electric Cost to Install $29,700 $5000 Operating
The graphs show the amount being paid in Social Security benefits and the amount going into the system. All data are expressed in billions of dollars. Amounts from 2016 through 2024 are projections.Exercises 35–37 are based on the data shown by the graphs. The data for the system’s outflow can
After a 60% reduction, a jacket sold for $20. What was the jacket’s price before the reduction?
In Exercises 36–43, use the five-step strategy for solving word problems.The length of a rectangular field is 6 yards less than triple the width. If the perimeter of the field is 340 yards, what are its dimensions?
According to University of Texas economist Daniel Hamermesh (Beauty Pays: Why Attractive People Are More Successful), strikingly attractive and good-looking men and women can expect to earn an average of $230,000 more in a lifetime than a person who is homely or plain. (Your author feels the need
A vertical pole is to be supported by a wire that is 26 feet long and anchored 24 feet from the base of the pole. How far up the pole should the wire be attached?
In Exercises 36–43, use the five-step strategy for solving word problems.You invested $8000 in two funds paying 2% and 5% annual interest. At the end of the year, the interest from the 5% investment exceeded the interest from the 2% investment by $85. How much money was invested at each rate?
In Exercises 36–43, use the five-step strategy for solving word problems.The bar graph shows the average price of a movie ticket for selected years from 1980 through 2013. The graph indicates that in 1980, the average movie ticket price was $2.69. For the period from 1980 through 2013, the price
The length of a rectangular carpet is 4 feet greater than twice its width. If the area is 48 square feet, find the carpet’s length and width.
The graphs show the amount being paid in Social Security benefits and the amount going into the system. All data are expressed in billions of dollars. Amounts from 2016 through 2024 are projections.Exercises 35–37 are based on the data shown by the graphs.In 2004, the system’s income was $575
In Exercises 36–43, use the five-step strategy for solving word problems.The bar graph shows seven common excuses by college students for not meeting assignment deadlines. The bar heights represent the number of excuses for every 500 excuses that fall into each of these categories.For every 500
In Exercises 36–43, use the five-step strategy for solving word problems.You invested $9000 in two funds paying 4% and 7% annual interest. At the end of the year, the total interest from these investments was $555. How much was invested at each rate?
In Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 35(2x + 1) — 2(x − 4) = 0 - -
In Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. x + 2 x + 3 + 1 x² + 2x - 3 2 - 1 = 0
You invested $10,000 in two accounts paying 8% and 10% annual interest. At the end of the year, the total interest from these investments was $940. How much was invested at each rate?
In Exercises 36–43, use the five-step strategy for solving word problems.A salesperson earns $300 per week plus 5% commission of sales. How much must be sold to earn $800 in a week?
In Exercises 36–43, use the five-step strategy for solving word problems.After a 20% price reduction, a cordless phone sold for $48. What was the phone’s price before the reduction?
In Exercises 32–34, perform the indicated operations and write the result in standard form. 2V-49+3V-64 21
In Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 4 x + 2 + 3 TW X || 10 x² + 2x
In Exercises 36–43, use the five-step strategy for solving word problems.You are choosing between two cellphone plans. Data Plan A has a monthly fee of $52 with a charge of $18 per gigabyte (GB). Data Plan B has a monthly fee of $32 with a charge of $22 per GB. For how many GB of data will the
In Exercises 32–34, perform the indicated operations and write the result in standard form. 5 2-i
In Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 1 x + 5 = 0
In Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 7 x-5 +2= x + 2 x - 5
In Exercises 30–31, graph each equation in a rectangular coordinate system. y = 2 = |x|
In Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 9 1 2x 114 || 4 X
In Exercises 28–29, solve each formula for the specified variable. y -У1 = m(x-x₁) for x
In Exercises 28–29, solve each formula for the specified variable. 1 V= = =lwh lwh for h 3
In Exercises 26–27, use graphs to find each set. [-1,2) 0 (0,5]
In Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 3x + 1 3 13 2 || 1-x 4
In Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. X 4 = 2 1 x-3 3
In Exercises 26–27, use graphs to find each set. [-1,2) U (0,5]
In Exercises 24–25, use interval notation to represent all values of x satisfying the given conditions. y || 2-x 4 and y is at least 1.
In Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. X 2 1 10 || X 5 + 1 2
In Exercises 21–28, divide and express the result in standard form. -6i 3 + 2i
In Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 2x 3 = 6 X 4
In Exercises 24–25, use interval notation to represent all values of x satisfying the given conditions. y = 2x - 5, and y is at least -3 and no more than 7.
In Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 7x + 5 = 5(x + 3) + 2x -
In Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 2x 3 X 6 + 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. |3x + 2 ≥ 3
In Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 7x + 13 = 2(2x - 5) + 3x + 23
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. -3 ≤ 2x + 5 3 < 6
In Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 1 2(6x) = 3x + 2
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