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Bartleby Sitemap - Textbook Solutions

All Textbook Solutions for College Algebra (MindTap Course List)

19CM 20CM 21CM 22CM 23CM 24CM 25CM 26CM 27CM 28CM 29CM 30CM 31CM 32CM 33CM 34CM 35CM 36CM 37CM 38CM 39CM 40CM 41CM 42CM Gardening A gardener wishes to enclose her rectangular raspberry patch with 40 feet of fencing. The raspberry bushes are planted along the garage, so no fencing is needed on that side. Find the dimensions if the total area is to be 192 feet.Financial Planning A college student invested part of a 25,000 inheritance at 7% interest and the rest at 6%. If his annual interest is 1670, how much did he invest at 6%?45CM 46CM 47CM 48CM 49CM 50CM 51CM 52CM 53CM 54CM 55CM 56CM 57CM 58CM 59CM 60CM Find the domain and the range of the relation: -2,-7,3,-13,-5, 11,10,-13.Five Ford cars and the starting manufacturer retail selling price MSRP for each are shown in the table. Ford Car MSRP Fiesta 13,965 Focus 17,170 Fusion 22,010 Mustang 23,800 Taurus 27,055 Write the set of ordered pairscar, price represented by the data for the relation. State the domain and range created by this set of ordered pairs.Use Figure 2-3 to list the ordered pairs in the relation R3 illustrated. State the domain and range of the relation.Determine whether each equation defines y to be a function of x. a. y=|x| b. y=x c. y2=2x 5SC 6SC Let gx=3x2+x-4. a. g0 b. g2 c. gk-1 Evaluate:8SC 9SC 10SC Fill in the blanks. A correspondence that assigns exactly one value of y to any number x is called a _______.2E Fill in the blanks. The set of input numbers x in a function is called the _______ of the function.4E 5E 6E 7E 8E A relation is given. a State the domain and range. b Determine if the relation is a function. 2,3,3,4,4,5,5,6 10E A relation is given. a State the domain and range. b Determine if the relation is a function. 1,3,1,4,2,5,-5,2 12E In Exercises 13-16, a relation is given. a Write the ordered pairs of the relation. b State the domain and the range. c Determine whether the relation is a function.14E 15E 16E Assume that all variables represent real numbers. Determine whether each equation determines y to be a function of x. y=x Assume that all variables represent real numbers. Determine whether each equation determines y to be a function of x. y-2x=0 Assume that all variables represent real numbers. Determine whether each equation determines y to be a function of x. y2=x Assume that all variables represent real numbers. Determine whether each equation determines y to be a function of x. y2-4x=1 Assume that all variables represent real numbers. Determine whether each equation determines y to be a function of x. y=x2 Assume that all variables represent real numbers. Determine whether each equation determines y to be a function of x. y+1=5x3 Assume that all variables represent real numbers. Determine whether each equation determines y to be a function of x. y=x 24E Assume that all variables represent real numbers. Determine whether each equation determines y to be a function of x. x-2=y 26E Assume that all variables represent real numbers. Determine whether each equation determines y to be a function of x. x=|y|28E Assume that all variables represent real numbers. Determine whether each equation determines y to be a function of x. y=7 30E Assume that all variables represent real numbers. Determine whether each equation determines y to be a function of x. y-7=x 32E Assume that all variables represent real numbers. Determine whether each equation determines y to be a function of x. x2+y2=25 Assume that all variables represent real numbers. Determine whether each equation determines y to be a function of x. x-12+y2=16 Let the function f be defined by the equation y=fx, where x and fx are real numbers. Find the domain of each function. fx=3x+5 36E Let the function f be defined by the equation y=fx, where x and fx are real numbers. Find the domain of each function. fx=x2-x+1 38E Let the function f be defined by the equation y=fx, where x and fx are real numbers. Find the domain of each function. fx=x-2 40E Let the function f be defined by the equation y=fx, where x and fx are real numbers. Find the domain of each function. fx=4-x 42E Let the function f be defined by the equation y=fx, where x and fx are real numbers. Find the domain of each function. fx=x2-1 44E Let the function f be defined by the equation y=fx, where x and fx are real numbers. Find the domain of each function. fx=x+13 46E Let the function f be defined by the equation y=fx, where x and fx are real numbers. Find the domain of each function. fx=3x+1 48E Let the function f be defined by the equation y=fx, where x and fx are real numbers. Find the domain of each function. fx=xx-3 50E 51E 52E Let the function f be defined by the equation y=fx, where x and fx are real numbers. Find the domain of each function. fx=1x2-4x-5 54E 55E 56E Let the function f be defined by y=fx, where x and fx are real numbers. Find f2, f-3, fk, and fk2-1. fx=3x-2 58E Let the function f be defined by y=fx, where x and fx are real numbers. Find f2, f-3, fk, and fk2-1. fx=12x+3 60E Let the function f be defined by y=fx, where x and fx are real numbers. Find f2, f-3, fk, and fk2-1. fx=x2 62E 63E 64E Let the function f be defined by y=fx, where x and fx are real numbers. Find f2, f-3, fk, and fk2-1. fx=x3-2 66E 67E 68E Let the function f be defined by y=fx, where x and fx are real numbers. Find f2, f-3, fk, and fk2-1. fx=2x+4 70E 71E 72E Let the function f be defined by y=fx, where x and fx are real numbers. Find f2, f-3, fk, and fk2-1. fx=x2+1 74E 75E 76E Evaluate the difference quotient for each function fx. fx=3x+1 78E Evaluate the difference quotient for each function fx. fx=-7x+8 Evaluate the difference quotient for each function fx. fx=-8x-1 Evaluate the difference quotient for each function fx. fx=x2+1 82E Evaluate the difference quotient for each function fx. fx=4x2-6 84E Evaluate the difference quotient for each function fx. fx=x2+3x-7 86E Evaluate the difference quotient for each function fx. fx=2x2-4x+2 88E Evaluate the difference quotient for each function fx. fx=-x2+x-3 90E 91E 92E Evaluate the difference quotient for each function fx. fx=1x 94E 95E Temperature conversion The Fahrenheit temperature reading F is a function of the Celsius reading C. The function can be written as FC=95C+32. Find the Fahrenheit temperature for the Celsius temperatures: C=0;C=-40;C=10.97E Cliff divers The height s, in feet, of a cliff diver is a function of the time t in seconds he has been falling. If s as a function of t can be expressed as st=-16t2+10t+300, what is the height of the diver at 3 seconds?99E 100E 101E Formulas The volume V of a rectangular box is determined by the length, the width, and the height. For a particular set of boxes, the height is 4 feet, the length is given as x feet, and the width is 3x feet. Express the volume as a function of x.103E Service projects The Circle K Club is planning a service project for children at a local childrens home. They plan to rent a Dora the Explorer Moonwalk for the event. The cost of the moonwalk will include a 60 delivery fee and 45 for each hour it is used. Write a function that describes the cost C for renting the moonwalk in terms of x, the number of hours used.105E Concessions A concessionaire at a football game pays a vendor 40 per game for selling hot dogs at 2.50 each. a. Write a function that describes the income I the vendor earns for the concessionaire during the game if the vendor sells x hot dogs. b. Find the income if the vendor sells 175 hot dogs.107E 108E 109E 110E 111E 112E 113E 114E 115E 116E 117E 118E 119E 120E 121E 122E 123E 124E Self Check Graph: 3x2y=6.Self Check Graph: 2(x1)=68y.Self Check Graph: 2x3y=12.4SC 5SC 6SC 7SC 8SC 1E 2E 3E 4E 5E 6E Fill in the blanks. A ________ equation is an equation whose graph is a line.8E 9E 10E 11E Fill in the blanks. Complete the Distance Formula: d= __________.Fill in the blanks. If a point divides a segment into two equal segments, the point is called the __________ of the segment.14E Practice Refer to the illustration and determine the coordinates of each point. A 16E 17E 18E Practice Refer to the illustration and determine the coordinates of each point. E 20E 21E 22E Graph each point. Indicate the quadrant in which the point lies, or the axis on which it lies. (2,5)24E 25E 26E Graph each point. Indicate the quadrant in which the point lies, or the axis on which it lies. (5,2)28E 29E 30E Solve each equation for y and graph the equation. Then check your graph with a graphing calculator. y2x=7 Solve each equation for y and graph the equation. Then check your graph with a graphing calculator. y+3=4x Solve each equation for y and graph the equation. Then check your graph with a graphing calculator. y+5x=5 34E Solve each equation for y and graph the equation. Then check your graph with a graphing calculator. 6x3y=10 36E 37E 38E Solve each equation for y and graph the equation. Then check your graph with a graphing calculator. 2(x+y+1)=x+2 40E 41E 42E Find the x- and y-intercepts and use them to graph each equation. 2xy=4 44E 45E 46E Find the x- and y-intercepts and use them to graph each equation. 4x5y=20 48E 49E 50E Graph each equation. 3x+5=1 52E 53E 54E Graph each equation. 3(y+2x)=6x+y 56E 57E 58E 59E 60E Find the distance between P and O(0,0). P(4,3)62E 63E 64E Find the distance between P and O(0,0). P(1,1)66E 67E 68E Find the distance between P and Q. P(3,7);Q(6,3)70E Find the distance between P and Q. P(4,6);Q(1,6)72E Find the distance between P and Q. P(2,15);Q(6,21)74E 75E 76E Find the distance between P and Q. P(,2);Q(,5)78E 79E 80E Find the midpoint of the line segment PQ. P(2,5);Q(2,7)82E Find the midpoint of the line segment PQ. P(8,5);Q(6,4)84E Find the midpoint of the line segment PQ. P(0,0);Q(5,5)86E 87E 88E One endpoint P and the midpoint M of line segment PQ are given. Find the coordinates of the other endpoint, Q. P(5,5);M(5,5)90E 91E 92E In the illustration, points M and N are the midpoints of AC and BC, respectively. Find the length of MN.In the illustration, points M and N are the midpoints of AC and BC, respectively. Show that d(MN)=12[d(AB)].In the illustration, point M is the midpoint of the hypotenuse of right triangle AOB. Show that the area of rectangle OLMN is one-half of the area of triangle AOB.Rectangle ABCD in the illustration is twice as long as it is wide, and its sides are parallel to the coordinate axes. If the perimeter is 42, find the coordinates of point C.House appreciation A lake house purchased for 325,000 is expected to appreciate according to the formula f(x)=17,500x+325,000,wheref(x) is the value of the lake house after x years. Find the value of the house 5 years later.Car depreciation A car purchased for 24,000 is expected to depreciate according to the formula f(x)=1920x+24,000,wheref(x) is the value of the car after x years. When will the car be worthless?Demand equations The number of photo scanners that consumers buy depends on price. The higher the price, the fewer photo scanners people will buy. The equation that relates price to the number of photo scanners sold at that price is called a demand equation. If the demand for a photo scanner is P=110q+170, where p is the price and q is the number of photo scanners sold at that price, how many photo scanners will be sold at a price of 150?100E 101E Crime prevention The number f(x) of incidents of family violence requiring police response appears to be related to x, the money spent on crisis intervention, by the equation f(x)=4300.005x. What expenditure would reduce the number of incidents to 350?103E Baseball If home plate on a baseball field is represented by the origin and second base is represented by the P(90,90), find the actual distance between home plate and second base. The units are in feet.105E 106E Navigation See the illustration. An ocean liner is located 23 miles east and 72 miles north of Pigeon Cove Lighthouse, and its home port is 47 miles west and 84 miles south of the lighthouse. How far is the ship from port?108E Explain how to determine the quadrant in which the point P(a,b) lies.110E 111E 112E 113E 114E 115E 116E

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