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study help
mathematics
college algebra
College Algebra 11th Edition Michael Sullivan, Michael Sullivan III - Solutions
Factor by grouping.2k + 2h + jk + jh
Factor by grouping.10m + 2n + 5mk + nk
Factor by grouping. 3ma + 3mb + 2ab + 2b2
Factor by grouping. 4 - 2q - 6p + 3pq
Factor by grouping.20 + 5m + 12n + 3mn
Factor by grouping.p2 - 4zq + pq - 4pz
Factor by grouping. r2 - 9tw + 3rw - 3rt
Factor by grouping. 2xy + 3y + 2x + 3
Factor by grouping.7ab + 35bc + a + 5c
Factor by grouping. m3 + 4m2 - 6m - 24
Factor by grouping. 2a3 + a2 - 14a - 7
Factor by grouping.-3a3 - 3ab2 + 2a2b + 2b3
Factor by grouping. -16m3 + 4m2p2 - 4mp + p3
Factor by grouping. 4 + xy - 2y - 2x
Factor by grouping.10ab - 21 - 6b + 35a
Factor by grouping. 8 + 9y4 - 6y3 - 12y
Factor by grouping. x3y2 - 3 - 3y2 + x3
Factor by grouping. 1 - a + ab - b
Factor by grouping. 2ab2 - 8b2 + a - 4
Factor by grouping. 2mx - 6qx + 2my - 6qy
Factor by grouping.12 - 6q - 18p + 9pq
Factor by grouping.4a3 - 4a2b2 + 8ab - 8b3
Factor by grouping. 5x3 + 15x2y2 - 5xy - 15y3
Factor by grouping. 2x3y2 + x2y2 - 14xy2 - 7y2
Factor by grouping. 3m2n3 + 15m2n - 2m2n2 - 10m2
Factor out the variable that is raised to the lesser exponent.3m-5 + m-3
Factor out the variable that is raised to the lesser exponent.k-2 + 2k-4
Factor out the variable that is raised to the lesser exponent.3p-3 + 2p-2
Factor out the variable that is raised to the lesser exponent.- 5q-3 + 8q-2
Simplify each expression. Assume that all variables represent nonzero real numbers. (y-²x4)-3
Consider the figure.The area of the blue square is equal to the area of the entire colored region, minus the total area of the green squares, minus the area of the yellow square. Write this as a simplified polynomial in a and b. a b b
Simplify each expression. Assume that all variables represent nonzero real numbers. m²n-8 m-6n3
Perform the indicated operations. m³3m² + 5m - 3 m - 1
Perform the indicated operations. 16x³y5 - 8x²y² + 4 4x²y
Perform the indicated operations. (3x + 2y) (5x - y)
Perform the indicated operations. (3x²8x + 1) - (x²-3x - 9)
SimplifyWrite the answer with only positive exponents. x-6y³ z x7y-42 (x, y, z = 0).
Perform the indicated operations. (x + 2y) (x² − 2xy + 4y²) -
Solve each system. x + 3y - 62 = 7 2x = y + z = 1 x + 2y + 2z = -1
Solve each system. 3x-2y = 4 =4 -6x +4y = 7
Per capita consumption of whole milk in the United States (in gallons) is shown in the graph, where x = 0 represents 1970.(a) Use the given ordered pairs to find the average rate of change in per capita consumption of whole milk (in gallons) per year during this period. Interpret the answer.(b) Use
The Star-Spangled Banner that flew over Fort McHenry during the War of 1812 had a perimeter of 144 ft. Its length measured 12 ft more than its width. Find the dimensions of this flag, which is displayed in the Smithsonian Institution’s Museum of American History in Washington, DC.
Solve each system. 3x-4y = 1 2x + 3y= 12
Write an equation of each line that satisfies the given conditions. Give the equation (a) In slope-intercept form (b) In standard form Through (0,0) and (1,4)
Find the slope of each line described. Through (4, 5); horizontal
Find the slope of each line described. Through (-4, 5) and (2, -3)
A survey polled Internet users age 12 and older about the Internet activities they engaged in daily. Complete the results shown in the table if 5000 such users were surveyed. Daily Internet Activity Browse the web Percent 70% 39% to music videos Actual Number Download/listen Download/watch Play
Write an equation of each line that satisfies the given conditions. Give the equation (a) In slope-intercept form (b) In standard form Through (4, -1); m = -4
Solve. |3z + 1 ≥ 7
Agbe needs 9 L of a 20% solution of alcohol. Agbe has a 15% solution on hand, as well as a 30% solution. How many liters of the 15% solution and how many liters of the 30% solution should Agbe mix to obtain the 20% solution needed?
Solve. |3x − 1| = 2
Solve. 2(m + 5) - 3m +1 > 5
Find the measure of each angle of the triangle. (x + 15)° (6x + 10)° (x - 5)⁰
Solve. 3(x + 2) 5(x + 2) = -2x - 4 -
If g(x) = -x2 - 2x + 6, find g(3).
Simplify 0.5(8x 10) 0.4(5 + 10x). -
Graph each equation or inequality.3x + 2y < 0
Solve. A = p + prt for t P
Graph each equation or inequality.y ≤ 2x - 6
Graph each equation or inequality.-3x + 4y = 12
Evaluate. 9.4 164 -
Solve. -5(8-22) + 4(7-2) = 7(8+2) - 3
Evaluate. - −8 − 13| − |−4| + |−9|
Evaluate. 2 (-)-(-)* 3
Match each number in Column I with the equivalent number(s) in Column II. Choices may be used more than once. (a) 1 100 (c) 1 (e) 4 I (b) (d) (f) -19 10 514 A. 0.5 D. 0.01 G. 100% II B. 0.25 E. 125% H. 10% C. 0.1 F. 50% I. 1%
Problems 127–135 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Simplify (4x²-7) 3 (3x + 5).8x (4x²-7) ²
Problems 127–135 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Find the slope of a line perpendicular to the line 3x - 10y = 12 =
Problems 127–135 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. The rotational inertia of an object varies directly with the square of the perpendicular distance
Let C be the function whose graph is given below. This graph represents the cost C of using g gigabytes of data in a month for a data-only plan. (a) Find C (0). Interpret this value. (b) Find C (5). Interpret this value. (c) Find C (15). Interpret this value. (d) What is the domain of C? What
Let C be the function whose graph is given below. This graph represents the cost C of manufacturing q computers in a day. (a) Find C(0). Interpret this value. (b) Find C(10). Interpret this value. (c) Find C(50). Interpret this value.(d) What is the domain of C? What does this domain imply in
In Problems 37–48, determine algebraically whether each function is even, odd, or neither. F(x) = √4x
In Problems 25–32, the graph of a function is given. Use the graph to find:(a) The intercepts, if any.(b) The domain and range.(c) The intervals on which the function is increasing, decreasing, or constant.(d) Whether the function is even, odd, or neither. ㅠ (-TT, -1) 2 YA 2 -2 (0, 1) 플 TT
In Problems 31–42, determine whether the equation defines y as a function of x. y 3x - 1 x + 2
In Problems 25–32, the graph of a function is given. Use the graph to find:(a) The intercepts, if any.(b) The domain and range.(c) The intervals on which the function is increasing, decreasing, or constant.(d) Whether the function is even, odd, or neither. πT 2 (-플,-1) YA 2 -2 (플, 1) ㅠ
In Problems 31–42, determine whether the equation defines y as a function of x. y = V/x
In Problems 31–42, determine whether the equation defines y as a function of x. y X
In Problems 25–32, the graph of a function is given. Use the graph to find:(a) The intercepts, if any.(b) The domain and range.(c) The intervals on which the function is increasing, decreasing, or constant.(d) Whether the function is even, odd, or neither. -3 y 3 (1,0) 3 x
In Problems 31–42, determine whether the equation defines y as a function of x. 3 y = x³
In Problems 31–42, determine whether the equation defines y as a function of x. y = ± √1 - 2x
In Problems 31–42, determine whether the equation defines y as a function of x. X x² = 8-y²
In Problems 31–42, determine whether the equation defines y as a function of x. y = 2x² - 3x + 4
In Problems 19–30, find the domain and range of each relation. Then determine whether the relation represents a function. { (-2, 16), (-1,4), (0, 3), (1,4)}
In Problems 37–48, determine algebraically whether each function is even, odd, or neither.g(x) = 10 - x2
In Problems 37–48, determine algebraically whether each function is even, odd, or neither. f(x) = 2x4 - x2
In Problems 19–30, find the domain and range of each relation. Then determine whether the relation represents a function. {(-1,8), (0, 3), (2, -1), (4,3)}
In Problems 25–32, the graph of a function is given. Use the graph to find: (a) The intercepts, if any.(b) The domain and range.(c) The intervals on which the function is increasing, decreasing, or constant.(d) Whether the function is even, odd, or neither. -3 y 3 (0, 1) 3 x
In Problems 19–30, find the domain and range of each relation. Then determine whether the relation represents a function. { (-4,4), (-3, 3), (-2,2), (-1, 1), (-4,0)}
In Problems 19–30, find the domain and range of each relation. Then determine whether the relation represents a function. {(3,3), (3,5), (0, 1), (-4,6)}
In Problems 19–30, find the domain and range of each relation. Then determine whether the relation represents a function. {(0,-2), (1,3), (2,3), (3,7)}
In Problems 13–24, determine whether or not the graph is that of a function by using the vertical-line test. In either case, use the graph to find:(a) The domain and range (b) The intercepts, if any.(c) Any symmetry with respect to the x-axis, the y-axis, or the origin. -1 . 9 6 3 -3 3 x (2, -3)
In Problems 13–24, determine whether or not the graph is that of a function by using the vertical-line test. In either case, use the graph to find:(a) The domain and range (b) The intercepts, if any.(c) Any symmetry with respect to the x-axis, the y-axis, or the origin. -3 y 3 -3 3X
In Problems 19–30, find the domain and range of each relation. Then determine whether the relation represents a function. Level of Education Less than 9th grade 9th-12th grade High School Graduate Some College College Graduate Average Income $18,120 $23,251 $36,055 $45,810 $67,165
In Problems 13–24, use the graph on the right of the function f. Is f decreasing on the interval [-8, -4]?
In Problems 13–24, determine whether or not the graph is that of a function by using the vertical-line test. In either case, use the graph to find:(a) The domain and range (b) The intercepts, if any.(c) Any symmetry with respect to the x-axis, the y-axis, or the origin. -3 у 3 со -3 3X
In Problems 13–24, determine whether or not the graph is that of a function by using the vertical-line test. In either case, use the graph to find:(a) The domain and range (b) The intercepts, if any.(c) Any symmetry with respect to the x-axis, the y-axis, or the origin. -3 y 3 -3 3x
In Problems 19–30, find the domain and range of each relation. Then determine whether the relation represents a function. Father Bob John Chuck Daughter Beth Diane Linda Marcia
In Problems 13–24, use the graph on the right of the function f.Is f decreasing on the interval [2,5]?
In Problems 19–30, find the domain and range of each relation. Then determine whether the relation represents a function. Person Elvis Colleen Kaleigh Marissa Birthday Jan. 8 Mar. 15 Sept. 17
In Problems 13–24, use the graph on the right of the function f.Is f increasing on the interval [-2,6]?
A researcher wants to investigate how weight depends on height among adult males in Europe. She visits five regions in Europe and determines the average heights in those regions to be 1.80, 1.78, 1.77, 1.77, and 1.80 meters. The corresponding average weights are 87.1, 86.9, 83.0, 84.1, and 86.4 kg,
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