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mathematics
a survey of mathematics with applications

Questions and Answers of A Survey of Mathematics with Applications

Solve the equation for y.x - 6y = 12
(a) Write the variation equation(b) Determine the quantity indicated.q varies inversely as the square of w. If q = 9 when w = 5, determine q when w = 3.
Evaluate the expression for the given value(s) of the variable(s).-3x + 7, x = -2
Kobe has written a book and wishes to use a custom printer to print copies of his book. There is a one-time setup fee of $250 plus a fee of $9.50 per book printed. If the total cost to Kobe was
Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.x - y = -1y = 2x + 4
z is jointly proportional to x and y and inversely proportional to the square of r. If z = 12 when x = 20, y = 8, and r = 8, determine z when x = 10, y = 80, and r = 3.In Exercise, determine the
(a) Write the variation equation(b) Determine the quantity indicated.C varies inversely as J. If C = 7 when J = 0.7, determine C when J = 14.
Evaluate the expression for the given value(s) of the variable(s).4x - 3, x = -1
Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.x - y = -2y = 3x - 4
Graph the solution set of the inequality, where x is a real number, on the number line.-1 ≤ 2x + 3/5 ≤ 1
Factor the trinomial.3x2 - 17x + 10
Graph the solution set of the inequality, where x is a real number, on the number line.1/2 < x + 4/2 ≤ 4
Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.y = -2/3x + 3x + 3y = 6
s is directly proportional to t. If s = 60 when t = 10, determine s when t = 12.In Exercise, determine the quantity indicated.
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.A = P(1 +
Factor the trinomial.2x2 - x - 3
Write an equation and solve.Quotient of a number and 4 is 12 less than the number.
Graph the solution set of the inequality, where x is a real number, on the number line.-3 ≤ 2x + 5 < 11
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.P = nRT/V;
Factor the trinomial.3x2 + x - 2
Graph the inequality.x + y > 0
Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.y - x = 4x - y = 3
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.P = nRT/V;
Combine like terms.1/5x - 1/3x - 4
Graph the inequality.y ≤ 3x - 4
Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.3x + 4y = -2-5x + y =
Plot the given points on the same axes.(0, -1)
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.F = 9/5C +
Combine like terms.10x2 + x - 21 - 11x2 + 7x + 16
Write an equation and solve.The sum of a number and 8 is 23
Graph the solution set of the inequality, where x is a real number, on the number line.-2x + 5 ≤ 4x - 25
Graph the inequality.y ≥ 3/4x - 2
Solve the system of equations graphically. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.y = -1/2x + 1x + 2y = 4
Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.The number of ceramic tiles needed to cover a floor and the area of the floor.
Plot the given points on the same axes.(-1, -5)
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.V = 1/3
Combine like terms.-4x + 2y - 17 + x - 9y + 12
Factor the trinomial.x2 + 5x - 14
Write the phrase as a mathematical expression.-4 times the difference between x and 1.
Graph the solution set of the inequality, where x is a real number, on the number line.-3x + 7 > 22
Graph the inequality.x + 2y > 4
Solve the system of equations graphically. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.x + 3y = -32x + y = 4
Plot the given points on the same axes.(3, 2)
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.V = πr2h;
Combine like terms.5x - 7y + 8 - 3x - 11y - 13
Solve the equation x2 + 7x = -6 by factoring.
Graph the solution set of the inequality, where x is a real number, on the number line.2x + 6 ≥ 14
Solve the system of equations graphically. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.x + 2y = 43x + y = -3
Plot the given points on the same axes.(4, -1)
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.A = 1/2 h(b1
Combine like terms.-5y + 4z + 2y - 9z
Graph the solution set of the inequality, where x is a real number, on the number line.-x/2 ≤ -4
Graph the inequality.y < -2x + 2
Solve the system of equations graphically. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.y = -x + 2y = -3x + 4
Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.On Earth, the weight and mass of an object.
Plot the given points on the same axes.(2 1/2, 5 1/2)
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.V = -1/2 at2;
Factor the trinomial.x2 - x - 6
Graph the solution set of the inequality, where x is a real number, on the number line.-x/3 ≥ 3
Determine whether the set of ordered pairs is a function.{(1, 1), (1, 2), (1, 3), (1, 4)}
Graph the inequality.y ≥ 2x - 6
Solve the system of equations graphically. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.y = -x + 3y = x - 1
Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.The width of the lawn mower and the time it takes to mow the lawn.
Plot the given points on the same axes.(0, -5)
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.P = kAT/l;
Factor the trinomial.x2 + 7x + 10
Write the phrase as a mathematical expression.9 less than the product of 7 and w
Determine whether the set of ordered pairs is a function.{(1, 1), (2, 1), (3, 1), (4,1)}
Graph the inequality.y < -x - 2
Solve the system of equations graphically. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.y = 6x - 2y = -1/3x - 2
Use the formula to determine the value of the indicated variable for the values given.E = mc2Determine m when E = 400 and c = 4 (physics).
Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.The number of miles that a tire has been driven and the depth of the tread remaining on the
Plot the given points on the same axes.(0, 0)
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.T = PV/k;
Solve the system of equations by the method indicated.4x + 3y = 52x + 4y = 10(addition)
Write the phrase as a mathematical expression.The quotient of z and 13, decreased by 4
Use the formula to determine the value of the indicated variable for the values given.z = x̅ - μ/σ/√nDetermine x̅ when z = 2, μ = 100, σ = 3, and n = 16 (statistics).
Plot the given points on the same axes.(0, 2)
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.v̅ = v +
Solve the system of equations by the method indicated.x + y = -12x + 3y = -5(substitution)
Multiply the binomials.(7x + 9)(6x - 5)
Determine whether the set of ordered pairs is a function.{(-1, 2), (-1, 4), (-1, 6), (-1, 9)}
Determine whether (0, 1) is a solution to the given inequality.a) x + y ≥ 0b) 3x - 2y < 0c) y < 2/3xd) y ≤ -5/7x
Use the formula to determine the value of the indicated variable for the values given.v = lwhDetermine v when l = 10, w = 7, and h = 3 (geometry).
Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.The number of volunteers present and the time it takes to clean up the city park.
Plot the given points on the same axes.(4, 0)
Solve the system of equations graphically.y = 2x - 122x + 2y = -6
Multiply the binomials.(6x - 7)(8x + 9)
Determine whether (0, 0) is a solution to the given inequality.a) 3x - 4y > 12b) 2x + 3y ≤ 6c) y ≥ 2/3x - 5d) y < -5/4x - 3
Plot the given points on the same axes.(-5, -1)
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.A = π(R2 -
Fill in the blank with an appropriate word, phrase, or symbol(s).An equation that has no solution is called a(n) _______.
Multiply the binomials.(3x - 2)(2x + 1)
Fill in the blank with an appropriate word, phrase, or symbol(s).The maximum and minimum values of the objective function occur at the _______ of the feasible region.
Plot the given points on the same axes.(-2, -4)
Plot the given points on the same axes.(3, 1)
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.A = 2πrh +
Fill in the blank with an appropriate word, phrase, or symbol(s).An equation that has an infinite number of solutions is called a(n) _______.
Multiply the binomials.(2x + 3)(3x - 1)
Fill in the blank with an appropriate word, phrase, or symbol(s).In a linear programming problem, the function used for the quantity that we want to maximize or minimize is called the _______

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