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mathematics
mathematical applications for the management
Mathematical Applications For The Management, Life And Social Sciences 12th Edition Ronald J. Harshbarger, James J. Reynolds - Solutions
A rental truck costs $49.95 for a day plus 49¢ per mile.(a) If x is the number of miles driven, write an expression for the total cost of renting the truck for a day.(b) Find the total cost of the rental if it was driven 132 miles.
Cell Pro makes cell phones and has weekly costs of $1500 for rent, utilities, and equipment plus labor and material costs of $18.50 for each phone it makes.(a) If x represents the number of phones produced and sold, write an expression for Cell Pro’s weekly total cost.(b) If Cell Pro sells the
Suppose you have $4000 to invest and you invest x dollars at 10% and the remainder at 8%. Write expressions in x that represent the (a) Amount invested at 8%,(b) Interest earned on the x dollars at 10%,(c) Interest earned on the money invested at 8%,(d) Total interest earned.
The volume of a rectangular box is given by V = (length)(width)(height). If a rectangular piece of cardboard that is 10 in. by 15 in. has a square with sides of length x cut from each corner (see the figure) and if the sides are folded up along the dotted lines to form a box, what expression of x
In Problem, perform the indicated operations and simplify.(x – 3)3
In many applications, it is necessary to write expressions in the form cxn, where c is a constant and n is an integer. In Problems, write the expression in this form.1/x
In compute and simplify so that only positive exponents remain. 4x) -40 -2 2xty 2-2,4,-10
In Problem factor completely.y4 – 16x4
In Problem, perform the indicated operations and simplify.(x2 – 1/2)2
In Problems, graph the subset of the real numbers that is represented by each of the following and write your answer in interval notation.x > 4 and x ≥ 0
In letA = {1, 3, 5, 8, 7, 2}B = {4, 3, 8, 10}C = {2, 4, 6, 8, 10}and U be the universal set of natural numbers less than 11. Find the following.(A ∩ B') ∪ C'
In Problem factor completely.10x2 + 21x – 10
In Problems, perform the indicated operations and simplify.3√16x2y . 3√3x2y
In Problem, perform the indicated operations and simplify.3(5y + 2)(5y – 2)
In Problems, graph the subset of the real numbers that is represented by each of the following and write your answer in interval notation.[-4, 17) ∩ [-20, 10]
In Problem factor completely.9 – 47x + 10x2
In Problem, perform the indicated operations and simplify.9(2x + 1)(2x – 1)
In Problems, graph the subset of the real numbers that is represented by each of the following and write your answer in interval notation.(-∞, 4) ∩ (-3, ∞)
In Problem factor completely.6x2 + 67x + 35
In Problems, simplify each expression.√32x5y
In Problem, perform the indicated operations and simplify.(x3y3 – 0.3)2
Use the rules of exponents to simplify so that only positive exponents remain.(8/a3)3
In Problem factor completely.10x2 + 19x + 6
In Problem, perform the indicated operations and simplify.(0.1 – 4x)(0.1 + 4x)
In Problems, simplify each expression.3√40x8y5
In Problems, write an inequality that describes each interval or graph. 2 4 6. 8
Use the rules of exponents to simplify so that only positive exponents remain.(2/x5)4
In Problem factor completely.16z2 – 81w2
In Problems, simplify each expression.3√54x5x8
In Problem, perform the indicated operations and simplify.(2y + 5)2
In Problems, write an inequality that describes each interval or graph.(-2, ∞)
Use the rules of exponents to simplify so that only positive exponents remain.(2m)3
In Problem factor completely.2x3 –8x
In Problems, simplify each expression.√128x4y5
In Problem, perform the indicated operations and simplify.(4x + 3)2
In Problems, write an inequality that describes each interval or graph.[-3, 5)
Use the rules of exponents to simplify so that only positive exponents remain.(xy)2
In Problem factor completely.4x2 – 8x – 60
In Problems, simplify each expression.3√-64x6y3
In Problem, perform the indicated operations and simplify.2(x3 + 3)(2x3 – 5)
In Problems, express each inequality or graph using interval notation and name the type of interval. -2 4 6.
Use the rules of exponents to simplify so that only positive exponents remain.(y3)-2
In Problem factor completely.3x2 + 3x – 36
In Problems, simplify each expression.√64x4
In Problem, perform the indicated operations and simplify.6(1 – 2x2)(2 – x2)
In Problem factor completely.2x2 + 13x + 6
In Problem, perform the indicated operations and simplify.(4x – 1)(x – 3)
In Problems, simplify each expression so that only positive exponents remain.(x-2/3)-2/5
Use the rules of exponents to simplify so that only positive exponents remain.a5/a-1
In Problems, express each inequality or graph using interval notation and name the type of interval. 2 4 6 8 10 12
In Problem, solve each inequality.1 – 2x > 9 36. 17 – x < – 4
In Problems, evaluate each expression. (-5)(-3) – (-2)(3) | -9 + 2
Given the expression 2x3 – 7x5 – 5x – 8, complete the following.(a) Find the degree.(b) Find the constant term.(c) Find the coefficient of x.
In Problems, express each inequality or graph using interval notation and name the type of interval.- 4 ≤ x ≤ 3
Use the rules of exponents to simplify so that only positive exponents remain.y-3/y-4
In Problem factor completely.2x2 + x – 6
In Problem, perform the indicated operations and simplify.(3y + 4)(2y – 3)
In Problems, simplify each expression so that only positive exponents remain.(x-1/2)2
In Problems, express each inequality or graph using interval notation and name the type of interval.1 < x ≤ 3
In Problem factor completely.x3 + 16x2 + 64x
In Problem, perform the indicated operations and simplify.- 3(3 - x2)
In Problems, simplify each expression so that only positive exponents remain.(x4/5)3
Write the interval corresponding to x ≥ 0.
In Problem factor completely.2x3 – 8x2 + 8x
In Problem, perform the indicated operations and simplify.ax2(2x2 + ax + ab)
In Problems, simplify each expression so that only positive exponents remain.(x2/3)3/4
Use the rules of exponents to simplify so that only positive exponents remain.x8/x4
In Problems, simplify each expression so that only positive exponents remain.x-1/2/x-3/2
In Problem factor completely.2x5 + 18x3
In Problem factor completely.4x2 - x
In Problems, evaluate each expression.16 - (-4)/8 - (-2)
Factor each expression in Problems as a product of binomials.(a) 10x2 – 99x – 63(b) 10x2 – 27x – 63(c) 10x2 + 61x – 63(d) 10x2 + 9x – 63
In Problem, simplify the expression with a exponents positive.(-2/5)-4
In Problems, evaluate each expression.(4 + 2)2/2
In the following question indicate whether the two sets are equal.A = {x, g, a, b}, D = {x, a, b, y}
Factor each expression in Problems as a product of binomials.(a) 9x2 + 21x – 8(b) 9x2 + 22x + 8
In Problem, simplify the expression with a exponents positive.(2/3)-2
In the following question indicate whether the two sets are equal.A = {a, b, π, √3 }, B 5 {a, π, √3, b}
Factor each expression in Problems as a product of binomials.16x2 – 25y2
In Problem, simplify the expression with a exponents positive.(2-3)-2
In Problems, evaluate each expression.(-3)2 + 10 · 2
In Problems, evaluate each expression.-32 + 10 · 2
In Problems, write in radical form. Do not simplify.y11/5
Evaluate 1.98T – 1.09(1 – H)(T – 58) – 56.8 when T = 74.7 and H = 0.80.
Simplify y + y 1一x一1一x
In Problems, write in radical form. Do not simplify.x7/6
In Problem, simplify the expression with a exponents positive.94 · 9-7/9-3
Insert the proper sign <,=, or > to replace □ in ProblemsΙ-9 - 3Ι □ Ι-9Ι + Ι3Ι
Factor each expression in Problems as a product of binomials.49a2 – 144b2
Factor each expression in Problems as a product of binomials.x2 – 10x + 25
Insert the proper sign <,=, or > to replace □ in ProblemsΙ-3Ι + Ι5Ι □ Ι-3 + 5Ι
Factor each expression in Problems as a product of binomials.12x2 + 11x + 2
In Problem, evaluate each algebraic expression at the indicated values of the variables. 16y at y = -3 1- y
In Problems, write in radical form. Do not simplify.12x1/4
Insert the proper sign <,=, or > to replace □ in Problems1/3 + 1/2 □ 5/6
Factor each expression in Problems as a product of binomials.7x2 – 10x – 8
In Problem, evaluate each algebraic expression at the indicated values of the variables. 2x - y - x2 - 2y at x = -5 and y = -3
In Problems, write in radical form. Do not simplify.2x1/2
Insert the proper sign <, = , or > to replace □ in Problems0.333 □ 1/3
Factor each expression in Problems as a product of binomials.4y2 + 12y + 9
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