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College Algebra 7th Edition Robert F Blitzer - Solutions
Exercises 29-48: Find the exact distance between the two points. Where appropriate, also give approximate results to the nearest hundredth. (3.6, 5.7), (-2.1, 8.7)
Exercises 29-48: Find the exact distance between the two points. Where appropriate, also give approximate results to the nearest hundredth. (-3, 2), (-3, 10)
Exercises 29-40: Write the number in scientific notation.14,500,000 (Number of U.S. cancer survivors in 2016)
Exercises 29-48: Find the exact distance between the two points. Where appropriate, also give approximate results to the nearest hundredth. (-6.5, 2.7), (3.6, -2.9)
Exercises 29-40: Write the number in scientific notation.0.00365 (Proportion of cosmetic surgeries performed on 13-19 year olds)
Exercises 29-40: Write the number in scientific notation.0.62 (Number of miles in 1 kilometer)
Exercises 29-40: Write the number in scientific notation.2450
Exercises 29-40: Write the number in scientific notation.105.6
Exercises 29-40: Write the number in scientific notation.0.56
Exercises 29-48: Find the exact distance between the two points. Where appropriate, also give approximate results to the nearest hundredth. (7,9), (-1,9)
Exercises 29-48: Find the exact distance between the two points. Where appropriate, also give approximate results to the nearest hundredth.
Exercises 29-40: Write the number in scientific notation.-0.0087
Exercises 29-48: Find the exact distance between the two points. Where appropriate, also give approximate results to the nearest hundredth.
Exercises 29-48: Find the exact distance between the two points. Where appropriate, also give approximate results to the nearest hundredth. le ·lin calm
Exercises 29-48: Find the exact distance between the two points. Where appropriate, also give approximate results to the nearest hundredth. (31), (— 16 ਹੈ) 10 10"
Exercises 29-40: Write the number in scientific notation.206.8
Exercises 41-52: Write the number in standard form.1 x 10-6 (Wavelength of visible light in meters)
Exercises 41-52: Write the number in standard form.9.11 x 10-31 (Weight of an electron in kilograms)
Exercises 41-52: Write the number in standard form.2 x 108 (Years required for the sun to orbit our galaxy)
Exercises 41-52: Write the number in standard form.8 * 109 (Annual dollars spent in the United States on cosmetics)
Exercises 17–30 contain linear equations with constants in denominators. Solve each equation. 20 X 3 = X 2
Exercises 17–30 contain linear equations with constants in denominators. Solve each equation. X 5 I 1 X || 18 2 6
Graph each equation in Exercises 13–28. Let x = -3, -2, -1, 0, 1, 2, and 3. y -X
In Exercises 9–20, find each product and write the result in standard form. (2 + 3i)²
In Exercises 9–20, find each product and write the result in standard form. (5 - 2i)²
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. 1 x - 4 5 x + 2 6 x²2x8
Graph each equation in Exercises 13–28. Let x = -3, -2, -1, 0, 1, 2, and 3. y = -x+ 2
In Exercises 45–50, perform the indicated operation(s) and write the result in standard form. 5√-8 + 3√-18
In Exercises 45–50, perform the indicated operation(s) and write the result in standard form. 5V-16 + 3V-81
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. 4 x + 5 + 2 x - 5 32 x² -
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. 2 x + 1 1 x - 1 2x x² - 1
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? A = h(a + b) for b
In Exercises 45–50, perform the indicated operation(s) and write the result in standard form. (4- i)² (1+2i)²
Exercises 19–20 involve markup, the amount added to the dealer’s cost of an item to arrive at the selling price of that item.The selling price of a scientific calculator is $15. If the markup is 25% of the dealer’s cost, what is the dealer’s cost of the calculator?
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. 5 x + 2 + 3 x 2 - 12 (x +
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. 3 x + 2 + 2 x - 2 8 (x + 2)(x
Fill in each blank so that the resulting statement is true.The most efficient technique for solving x2 + 8x + 15 = 0 is by using_______ .
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? A = h(a + b) for a
In Exercises 47–50, write each English sentence as an equation in two variables. Then graph the equation.The y-value is two more than the square of the x-value.
In Exercises 45–50, perform the indicated operation(s) and write the result in standard form. (2+i)² (3-i)²
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 r
In Exercises 47–50, write each English sentence as an equation in two variables. Then graph the equation.The y-value is three decreased by the square of the x-value.
In Exercises 45–50, perform the indicated operation(s) and write the result in standard form. (8 + 9i)(2 - i) - (1 - i)(1 + i)
In Exercises 45–50, perform the indicated operation(s) and write the result in standard form. (23i)(1 - i) (3 - i)(3 + i)
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. y # X
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. 3 x + 3 5 2x + 6 1 x - 2
In Exercises 47–50, write each English sentence as an equation in two variables. Then graph the equation.The y-value is the difference between four and twice the x-value.
In Exercises 29–44, perform the indicated operations and write the result in standard form. (3√-7) (2V-8)
In Exercises 41–46, use the graph toa. 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. y HHHHH X
In Exercises 47–50, write each English sentence as an equation in two variables. Then graph the equation. The y-value is four more than twice the x-value.
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?P = C + MC for M
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. y
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?T = D + pm for p
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. 2 x-2 || X x - 2 - 2
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?V = πr2 h for h
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. 3 2x - 2 1 + 2 || 2 x - 1
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?E = mc2 for m
In Exercises 29–44, perform the indicated operations and write the result in standard form. (3√-5) (-4V-12)
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. HI y T H X
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?C = 2πr for r
In Exercises 29–44, perform the indicated operations and write the result in standard form. V-12(V-4 - √₂)
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. y #HE ID X
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.
In Exercises 29–44, perform the indicated operations and write the result in standard form. (-2+ √-4)²
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. 2 X +3= 5 2x + 13 4
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. 7 2x 5 3x || 22 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. 2 1 + 3x 4 || 11 6х 2 1 3
In Exercises 29–44, perform the indicated operations and write the result in standard form. 2 (-5-√-9)²
In Exercises 29–44, perform the indicated operations and write the result in standard form. (-2+ V-11)²
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 Y2 in the table?a. y2 = x + 8b. y2 = x - 2c. y2 = 2 - xd. y2 = 1 - 2x -2 -1 0 1 2 3 MHSG7 4 5 6 7 |X=-3 Y 9 4 1 8 1 4 9 16 25 36 SIMHOT in Y2 -2
In Exercises 29–44, perform the indicated operations and write the result in standard form. (-3-√-7) ² 2
An HMO pamphlet contains the following recommended weight for women: “Give yourself 100 pounds for the first 5 feet plus 5 pounds for every inch over 5 feet tall.” Using this description, what height corresponds to a recommended weight of 135 pounds?
The table of values was generated by a graphing utility with a TABLE feature. Use the table to solve Exercises 33–40.Does the graph of Y2 pass through the origin? -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
A job pays an annual salary of $33,150, which includes a holiday bonus of $750. If paychecks are issued twice a month, what is the gross amount for each paycheck?
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. 5 8 ос 2r 9 || 1 1 3x DY. 18
The rate for a particular international person-to-person telephone call is $0.43 for the first minute, $0.32 for each additional minute, and a $2.10 service charge. If the cost of a call is $5.73, how long did the person talk?
In Exercises 29–44, perform the indicated operations and write the result in standard form. -8 + √-32 24
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. x 2 2x + 1 = x + 1 X
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. 4 X || 9 5 1 7x - 4 5x
In Exercises 29–44, perform the indicated operations and write the result in standard form. -12 + √-28 32
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. 1 x - 1 + 5 = 11 x - 1
The table of values was generated by a graphing utility with a TABLE feature. Use the table to solve Exercises 33–40.Does the graph of Y1 pass through the origin? -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
The table of values was generated by a graphing utility with a TABLE feature. Use the table to solve Exercises 33–40.At which point does the graph of Y2 cross the y-axis? -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 29–44, perform the indicated operations and write the result in standard form. -6 - V-12 48
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. 3 x + 4 - 7 = -4 x + 4
The table of values was generated by a graphing utility with a TABLE feature. Use the table to solve Exercises 33–40.At which point does the graph of Y2 cross the x-axis? -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 29–44, perform the indicated operations and write the result in standard form. -15 V-18 V-18 - 33
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? A = 1bh for b
In Exercises 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? V = Bh for B
The table of values was generated by a graphing utility with a TABLE feature. Use the table to solve Exercises 33–40.At which points do the graphs of Y1 and Y2 intersect? -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 37–56, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?A = lw for w
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. 8.x x + 1 = 4 - 8 x + 1
In Exercises 29–44, perform the indicated operations and write the result in standard form. V-8(√-3-√5)
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? -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 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
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